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WorksheetsMidterm Review Algebra I
Total questions: 258
Worksheet time: 64hrs 16mins
Name
Class
Date
1.
A machine is used to fill each of several bags with 16 ounces of coffee. After the bags are filled, another machine weighs them. If the bag weighs over 0.5 ounces more or less than the desired weight, the bag is rejected.
Which of the following inequalities could be used to find weights of bags that will be rejected?
a)
|x - 16| < -0.5
b)
|x + 16| > 0.5
c)
|x - 0.5| < 16
d)
|x - 16| > 0.5
2.
An Absolute Value expression always evaluates to a/an _____________ number, or zero.
a)
Positive
b)
Negative
c)
Even
d)
Odd
3.
Which of the equations below has more than one solution?
a)
| x | = 5
b)
| x | = -5
c)
| 5 | = x
d)
| -5 | = x
4.
No calculators: Convert 2 ⅝ to a decimal.
a)
2.58
b)
2.625
c)
2.60
d)
2.525
5.
Patricia's commute to and from work is 40 miles round-trip. If her car gets 25 miles per gallon (mpg) and gas costs $2.50 per gallon, what is the value of gas she uses for one workweek (5 days) of commuting?
a)
$20.00
b)
$72.50
c)
$8.00
d)
$12.80
6.
A 25,000-gallon pool is full when it springs a leak that lets 25 gallons per minute out of the pool. Which equation below describes this situation? Let t = time after the leak sprung (in minutes) and G = gallons remaining in the pool.
a)
G= 25,000 - 25t
b)
G = 25,000t - 25
c)
G= 25t + 25,000
d)
G= 25 + 25,000t
7.
Felipe has two summer jobs. He earns $6.00 per hour working at an ice-cream stand and $9.00 per hour mowing lawns. He must work exactly 15 hours per week at the ice-cream stand, but he can work as many hours as he wants mowing lawns. Next week he wants to earn $270. Which equation below could help you find how many hours he needs to spend mowing lawns to meet this goal?
a)
(6 + 9)x + 15 = 270
b)
6⋅15 + 9x = 270
c)
(6 + 15)x+ 9⋅15 = 270
d)
6x + 9x + 15 = 270
8.
What value of "x" would make √(20x) equivalent to 2√(30) ?
a)
2
b)
3
c)
6
d)
12
9.
Re-write the equation 2x − 4y = 12 so that "y" is isolated.
a)
y = 2x − 3
b)
y = (½)x + 3
c)
y = ⁻2x− 3
d)
y= (½)x - 3
10.
Which equation below could have produced this solution table?
a)
y = 3.75x + 2.5
b)
y = 3.75x + 2
c)
y = 2x + 2
d)
y = 2x + 2.5
11.
Re-arrange the formula
A= 2πr² + 2πrh
so that "h" is isolated.
[Hint: Remember the butterfly...]
A= 2πr² + 2πrh
so that "h" is isolated.
[Hint: Remember the butterfly...]
a)
h = A/(2πr) − r
b)
h = (2Aπr)/(2πr)
c)
h = A/(2πr³)
d)
h = A − (2r)/π
12.
Which of the following ordered pairs solves the equation 3x + 2y = 12 ?
a)
(2, 3)
b)
(3, 2)
c)
(6, 0)
d)
(0, 4)
13.
This means to re-write an equation so that one variable is alone on its side of the equals sign.
a)
Isolate
b)
Integrate
c)
Solve
d)
Simplify
14.
A multi-variable equation that represents a real-life relationship (such as d = rt) is known as a/an...
a)
Formula
b)
Integral
c)
Expression
d)
Derivative
15.
Re-write the formula
A = (⅓)πr²h so that "h" is isolated:
A = (⅓)πr²h so that "h" is isolated:
a)
h = ( 3A )/( πr² )
b)
h = ( 3πA )/(r² )
c)
h = ( A )/(3πr² )
d)
h=3Aπr²
16.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
17.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost "c" of hitting "b" buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c = 4b- 2.75
d)
c = 2.75b - 4
18.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
19.
A 7-inch candle burns at a rate of 2 inches per hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle has been burning?
a)
y=2x+7
b)
y=7-2x
c)
y=2-7x
d)
y=7x+2
20.
The equation y = 3x + 5 has _____
a)
Exactly one solution
b)
Exactly two solutions
c)
Exactly three solutions
d)
Infinitely many solutions
21.
If (2 ,0) is a solution of the linear equation
2x + 3y = k, then the value of k is_____
2x + 3y = k, then the value of k is_____
a)
4
b)
5
c)
6
d)
2
22.
Re-write the equation
2y - 10x = 14 to solve for "y."
2y - 10x = 14 to solve for "y."
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
23.
For every 4 minutes, there are 240 seconds. Which equation best represents the number of seconds, s, in a given number of minutes, m?
a)
s = (1/60) x m
b)
s = 60/m
c)
s = m + 60
d)
s = 60m
24.
Which of the following equations is not equivalent to A = 2B + s?
a)
B = 2A - s
b)
s = A - 2B
c)
B = (A - s)/2
d)
B = (1/2)(A - s)
25.
True or False: When a variable is isolated, the tradition is to write it on the left side of the equals sign.
a)
True
b)
False
26.
The volume of any pyramid is given by the formula V = (1/3)Bh, where V is the volume, B is the area of the base, and h is the height.
If an 80-ft. tall pyramid has a volume of 30,000 cubic meters, what is the area of its base?
If an 80-ft. tall pyramid has a volume of 30,000 cubic meters, what is the area of its base?
a)
1,125 m2
b)
125 m2
c)
800,000 m2
d)
7.2 million m2
27.
Fill in the blank: Dividing by any number (or unit) is the same as ______________ by its reciprocal
a)
multiplying
b)
adding
c)
subtracting
d)
dividing
28.
No calculators: Evaluate the expression 9÷(1/3)
a)
27
b)
3
c)
6
d)
12
29.
Mr. Smith works as a salesman at a car dealership. He is paid a base salary of $1,300 each month, and he receives a commission of $150 for each vehicle he sells. If last month Smith earned $2,500, how many cars did he sell last month?
[Hint: Write a linear equation to model this information.]
[Hint: Write a linear equation to model this information.]
a)
8
b)
10
c)
6
d)
12
30.
Two trains are approaching each other on parallel tracks. One train is travelling at 50 mph and the other at 100 mph. If the trains are currently 900 miles apart, how many hours until they pass each other?
[Hint: Write a linear equation to model this information.]
[Hint: Write a linear equation to model this information.]
a)
6 hrs.
b)
5 hrs.
c)
7 hrs.
d)
18 hrs.
31.
It costs $80 per month to join a gym, but if you join you only have to pay $1 each time you want to use the pool. If you don't join the gym, you can still use the pool, but you have to pay $5 each time you do.
How many times per month would you have to use the pool before it would become worthwhile to join the gym?
How many times per month would you have to use the pool before it would become worthwhile to join the gym?
a)
20
b)
13
c)
14
d)
19
32.
Rhonda has a small workshop that makes roller skates. Her shop has fixed costs of $500 per day, plus it costs her $18 in materials to make each pair of skates
If she sells each pair of skates for $50, what is the minimum number of skates she must sell per day in order to make a profit?
If she sells each pair of skates for $50, what is the minimum number of skates she must sell per day in order to make a profit?
a)
16
b)
15
c)
7
d)
8
33.
The HS Chorus wants to take a field trip to Carnegie Hall. The Chorus already has $300 saved for the trip, but it needs to have $1,500 in order to go.
To raise money, the Chorus Boosters are selling sandwiches for $6.00 each. However, each sandwich costs $2.50 to make. How many sandwiches must the Boosters sell for the Chorus to be able to go on the field trip?
To raise money, the Chorus Boosters are selling sandwiches for $6.00 each. However, each sandwich costs $2.50 to make. How many sandwiches must the Boosters sell for the Chorus to be able to go on the field trip?
a)
343
b)
142
c)
515
d)
212
34.
400 students came to a picnic. Some were freshmen and the rest were sophomores. Each freshman ate three cookies and each sophomore ate five cookies.
If a total of 1,760 cookies were eaten by students at this picnic, which equation below could help you find how many were freshmen?
If a total of 1,760 cookies were eaten by students at this picnic, which equation below could help you find how many were freshmen?
a)
3x + 5(400 − x) = 1,760
b)
3(400 − x) + 5x = 1,760
c)
3x + 5(x − 400) = 1,760
d)
3(x − 400) + 5x = 1,760
35.
A math worksheet took Jeremy 1 hour and 15 minutes to complete. Each numerical problem took three minutes to complete and each word problem took five minutes to complete.
If there were 10 numerical problems on the worksheet, how many word problems were there?
If there were 10 numerical problems on the worksheet, how many word problems were there?
a)
9
b)
6
c)
7
d)
8
36.
Bree and Brittany are sisters. Bree has $700 in her savings account and is saving an additional $30 per week. Brittany has $1,500 in her savings account, but she is on a spending spree and is withdrawing $90 per week from her account.
How many weeks until Bree has more money saved than Brittany?
How many weeks until Bree has more money saved than Brittany?
a)
14
b)
37
c)
18
d)
7
37.
You have $120 budgeted to rent a moving truck for 2 days. Each day is $39, plus $0.25 per mile. How many miles can you drive the truck and stay within your budget?
a)
170 miles
b)
168 miles
c)
150 miles
d)
172 miles
38.
The sum of two consecutive integers is 153. Which equation could be used to find the first integer?
a)
2n+1 = 153
b)
n + 1 = 153
c)
2n = 153
d)
2n + 2 = 153
39.
If 7x + 3 = 24, what is the value of 5 - 4x ?
a)
-23
b)
-7
c)
1
d)
17
40.
Aliyah had $24 to spend on seven pencils. After buying these pencils she had $10 left. Which equation below could help you find how much each pencil cost?
a)
24 + 10 = 7x
b)
24 - 7x = 10
c)
10 - 7x = 24
d)
10 + x = 14⋅7
41.
Mrs. Andreotti had some candy to give to her four children. She first took ten pieces for herself and then evenly shared the rest among her children. Each child received two pieces.
Which equation below could help you find how many pieces of candy she started with?
Which equation below could help you find how many pieces of candy she started with?
a)
(x-10)/4=2
b)
x-10/4=2
c)
x-10=2+(4)
d)
2(x-10)=4
42.
Jerry paid a gym membership fee of $50, plus $20 per month. He has paid a total of $290 to the gym.
Which equation below could help you find the number of months that Jerry has belonged to the gym?
Which equation below could help you find the number of months that Jerry has belonged to the gym?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
43.
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30.
How many miles does Mr. Lewis live from the airport?
How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
d)
24 miles
44.
Scott works on cars. Kylie is one of his customers.
Scott charges $35 for a car repair appointment plus $7 per hour. Write an equation that represents this scenario if Kylie's total car-repair bill was $63.
Scott charges $35 for a car repair appointment plus $7 per hour. Write an equation that represents this scenario if Kylie's total car-repair bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
45.
At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for these costs to be equal.
a)
150x + 24 = 180 + 20x
b)
150 + 24x = 180 + 20x
c)
180 - 150 = 24 x + 20x
d)
150 - 24x = 180 - 20x
46.
Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would pass before Mary's salary would be the same at both companies.
a)
36,000x + 1,500 = 29,000x + 2,500
b)
36,000 - 29,000 = 1,500x + 2,500x
c)
36,000 - 1,500x = 29,000 - 2,500x
d)
36,000 + 1,500x = 29,000 + 2,500x
47.
Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. How many years would pass before Mary's salary would be the same at both companies?
a)
2
b)
16
c)
65
d)
7
48.
On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?
a)
His rate on Saturday was 2 miles per hour slower than his rate on Sunday.
b)
His rate on Sunday was 2 miles per hour slower than his rate on Saturday.
c)
His rate on Saturday was the same as his rate on Sunday.
d)
His rate on Sunday was 2 miles per hour faster than his rate on Saturday.
49.
Solve for x:
3x - 4 = 5
3x - 4 = 5
a)
x = 3
b)
x = 9
c)
x = 5/3
d)
x = 4
50.
Solve for x:
-4 = x + 3
-4 = x + 3
a)
x = 7
b)
x = -7
c)
x = 1
d)
x = -1
51.
Solve for x:
3x = 4 + 2x
3x = 4 + 2x
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
52.
Solve for x:
2x - 6 = 4(5 + x)
2x - 6 = 4(5 + x)
a)
x = -13
b)
x = 13
c)
x = 14
d)
x = -14
53.
Solve for p:
3(p + 2) = -3(p + 2)
3(p + 2) = -3(p + 2)
a)
p = -2
b)
p = 2
c)
p = 3
d)
p = -3
54.
Solve for b:
-14+6b+7-2b=1+5b
-14+6b+7-2b=1+5b
a)
no solution
b)
-8
c)
45
d)
-35
55.
Jon ate 3 more hot dogs than Kalia. Amarion ate twice as many hot dogs as Kalia. John, Kalia and Amarion ate 27 hot dogs all together.
Which equation correctly represents this situation, if you call the number of hot dogs that Kalia ate "x"?
Which equation correctly represents this situation, if you call the number of hot dogs that Kalia ate "x"?
a)
x + x + 3 = 27
b)
x + x + 3 + 2x = 27
c)
2x + 3 = 27
d)
x + 3 + 2x = 27
56.
A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?
a)
120 miles
b)
100 miles
c)
110 miles
d)
150 miles
57.
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?
a)
2 miles
b)
4 miles
c)
.50 mile
d)
-4 miles
58.
A 18-in. wooden board is divided into a short piece, a medium piece, and two long pieces. The medium piece is twice the length of the short piece, and the long pieces are each three times the length of the short piece.
What is the length of the short piece?
What is the length of the short piece?
a)
2 in.
b)
3 in.
c)
1.5 in.
d)
1 in.
59.
Integration: 2 ¾ would round to what whole number?
a)
2
b)
3
c)
4
d)
1
60.
Round to the nearest ten:
752
752
a)
700
b)
800
c)
750
d)
760
61.
Round to the nearest hundred:
149
149
a)
100
b)
200
c)
150
d)
140
62.
There are 293 steps to the top of the Leaning Tower of Pisa in Italy. To the nearest hundred, about how many steps are there?
a)
200
b)
300
c)
290
d)
250
63.
Tyler says 753 rounds to 800. Alexis says 753 rounds to 750. Who is correct?
a)
Tyler
b)
Alexis
c)
Both of them are right, it depends on whether you are rounding to the nearest ten or hundred
d)
Niether of them are right
64.
Which of the following numbers will NOT round to 400 when rounding to the nearest hundred?
a)
409
b)
445
c)
345
d)
398
65.
What is the place value of the digit 7 in the number 6,789?
a)
100
b)
7,000
c)
7
d)
700
66.
What is the place value of the digit 5 in the number 2,345?
a)
500
b)
50
c)
5
d)
1
67.
Which of the following numbers would become 4.52 when rounded to the nearest hundredth?
a)
4.453
b)
4.449
c)
4.512
d)
4.523
68.
Which of the following is true?
a)
1.99 rounded to the nearest tenth is 2.0
b)
2.01 rounded to the nearest tenth is 2.1
c)
11.14 rounded to the nearest whole number is 12
d)
16.342 rounded to the nearest hundredth is 16.33
69.
Which of the following is five billion?
a)
5,000,000
b)
5,000
c)
5,000,000,000
d)
5,000,000,000,000
70.
How many zeroes in a trillion?
a)
12
b)
9
c)
6
d)
3
71.
Which of the following decimals is equivalent to three thousandths?
a)
0.3
b)
0.03
c)
0.003
d)
0.0003
72.
What is the sum of these fractions in lowest terms?
a)
5/12
b)
5/24
c)
6/12
d)
6/144
73.
What is the sum of these fractions in lowest terms?
a)
7/18
b)
7/9
c)
12/9
d)
12/81
74.
What is the product of these fractions in lowest terms?
a)
20/50
b)
10/25
c)
2/5
d)
9/15
75.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
76.
What is the quotient of these fractions in lowest terms?
a)
8/5
b)
8/20
c)
16/10
d)
2/5
77.
No calculators: What is 0.8% expressed in decimal notation?
a)
0.008
b)
0.08
c)
8
d)
80
78.
No calculators: What is 2.32 expressed as a Percent?
a)
232%
b)
23.2%
c)
0.232%
d)
0.0232%
79.
No calculators: Which of the fractions below is equivalent to the repeating decimal 0.1666666666....
a)
1/6
b)
4/25
c)
1/16
d)
17/100
80.
No calculators: Which of the decimals below is equivalent to the fraction 10/3 ?
a)
3.333333......
b)
10.3
c)
1.3
d)
0.333333.......
81.
Solve for "x"
a)
x = 18
b)
x = 23.5
c)
x = 12.5
d)
x = 16
82.
No calculators: A recipe calls for three pinches of salt for every five servings. If you are planning to serve 80 people with this recipe, how many pinches of salt do you need?
a)
48
b)
133 1/3
c)
28 1/3
d)
25
83.
No calculators: Evaluate (1/9) + (2/5) =
a)
23/45
b)
3/14
c)
2/45
d)
23/14
84.
No calculators: Evaluate (1/9)⋅(1/9) =
a)
1/81
b)
2/9
c)
2/81
d)
1/9
85.
No calculators: Which of the following represents the smallest numerical value?
a)
12%
b)
1/20
c)
2/12
d)
0.0555555.......
86.
No calculators: Which of the following represents the largest numerical value?
a)
2.35
b)
23.5%
c)
2 3/5
d)
23/50
87.
This is any collection of mathematical symbols that represents an idea.
a)
Statement
b)
Solution
c)
Simplification
d)
Substitution
88.
This is any statement with the potential to represent a definite value (or values.)
a)
Expression
b)
Equation
c)
Inequality
d)
Solution
89.
This is a process that uses one or more numbers to produce another number or numbers according to defined rules. (Examples include addition, subtraction, multiplication, etc.)
a)
Operation
b)
Solution
c)
Relation
d)
Logical Value
90.
This is a letter that is used to represent a place in a statement whose value might change depending on the context. You can think of it as a “blank” that will get filled in.
a)
Variable
b)
Expression
c)
Inequality
d)
Operation
91.
This is replacing a symbol in a statement with an equivalent symbol or set of symbols.
...
However...it usually just means replacing a letter with a number.
...
However...it usually just means replacing a letter with a number.
a)
Substitution
b)
Simplification
c)
Solving
d)
Distribution
92.
This means determining the value of an expression.
a)
Evaluation
b)
Equation
c)
Expression
d)
Solving
93.
True or False: Evaluation is a type of simplification
a)
True
b)
False
94.
This is a statement that compares the value of two expressions.
a)
Relation
b)
Expression
c)
Integer
d)
Operation
95.
This is a relation that states that two expressions have the same value.
a)
Equation
b)
Inequality
c)
Expression
d)
Operation
96.
This is a relation that states that two expressions do not have the same value.
a)
Inequality
b)
Equation
c)
Expression
d)
Operation
97.
This is a value or set of values that, when substituted in for the variable(s) in a relation, make that relation true.
a)
Solution
b)
Equation
c)
Simplification
d)
Operation
98.
Fill in the blank: When _______________________, always use parentheses.
a)
Substituting
b)
Simplifying
c)
Solving
d)
Distributing
99.
Fill in the blank: Never operate with Percents. To work with a Percent, always convert it to a ___________________ first.
a)
Decimal or fraction
b)
Whole number
c)
Integer
d)
None of these
100.
When no operation symbol is seen between two symbols, the operation is assumed to be what?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
101.
The sum of the side lengths of a plane figure (like a triangle or a square) is called the...
a)
Perimeter
b)
Area
c)
Volume
d)
Average side length
102.
What is the correct equation for "travel problems" like how far a car travels in a certain amount of time given a certain speed?
a)
d = rt
b)
d = fe
c)
I = Prt
d)
A = lw
103.
What is the correct equation to determine simple Interest?
a)
d = rt
b)
d = fe
c)
I = Prt
d)
A = lw
104.
True or False: The equation A = lw can be used to find the area of any plane figure (such as a triangle or a square.)
a)
True
b)
False
105.
Consider the math work shown in the box to the right. What is the name of this procedure?
a)
Simplifying
b)
Substituting
c)
Solving
d)
Distributing
106.
Which of the following is the reciprocal of 5?
a)
1/5
b)
-5
c)
-1/5
d)
1
107.
Which of the following numbers is an integer?
a)
1/3
b)
-12
c)
π
d)
20%
108.
Which of the following statements is a relation?
a)
3+2
b)
3+x
c)
3+x<5
d)
πr2
109.
Which of the following is a true statement about the expression 23 ?
a)
2 is called the base
b)
2 is called the "exponent"
c)
It evaluates to 9
d)
It is equivalent to 32
110.
Unit skills: There are twelve inches in a foot and three feet in a yard. How many cubic inches are there in seven cubic yards?
a)
252
b)
22
c)
326,592
d)
3,375
111.
Unit skills: You are planning a vacation to Mexico. One dollar is worth about six Pesos, the currency that is used in Mexico. A hotel room is offering a room for 420 pesos per night. How much is this price in dollars?
a)
$70
b)
$2,520
c)
$426
d)
$414
112.
There are approximately 200 billion stars in the Milky Way Galaxy. Suppose that one in ten of these stars have planets. How many stars in the Milky Way have planets?
a)
2 million
b)
2 billion
c)
20 billion
d)
200 million
113.
Tristan rode his bicycle for two hours. In that time he covered a distance of sixteen miles. What was his mean (average) speed?
a)
32 mph
b)
8 mph
c)
14 mph
d)
18 mph
114.
You are on a vacation in Canada. The weatherman says the temperature tomorrow will be 35o C. What should you plan on wearing?
Use the formula C=(5/9)(F-32).
a)
Eskimo gear
b)
Winter jacket
c)
Long-sleeved shirt
d)
Shorts and a t-shirt
115.
You put $600 in a bank account yielding 5% simple interest. How long would it take to earn $100 in interest from this account?
a)
3 years exactly
b)
3 years, 4 months
c)
3 years, 6 months
d)
4 years
116.
The equation to convert Celsius to Kelvin temperatures is
K = C + 273.
The formula to convert Fahrenheit to Celsius is
C = (5/9)(F-32).
Use these two formulas to find which temperature below is the hottest.
K = C + 273.
The formula to convert Fahrenheit to Celsius is
C = (5/9)(F-32).
Use these two formulas to find which temperature below is the hottest.
a)
20 oC
b)
80 oF
c)
45 oC
d)
300 K
117.
A triangle has a base of 10 inches and an area of 40 in2. Which of the following is a true statement about this triangle? [Use your formula sheet.]
a)
It has a height of 8 inches
b)
It has a height of 4 inches
c)
It has a perimeter of 50 inches
d)
It has a perimeter of 18 inches
118.
Unit skills: Consider the table to the right from a record of NASCAR practices on the same track. Which driver had the slowest mean practice speed?
a)
Jimmy Johnson
b)
Tony Stewart
c)
Kurt Bush
d)
Jeff Gordon
119.
This property says that
a(b + c) = ab + ac
a(b + c) = ab + ac
a)
Distributive Property
b)
Commutative Property
c)
Associate Property
d)
Evaluate
120.
Work (steps) must be shown to receive credit in Algebra I.
a)
No, the teacher can read my mind.
b)
Yes, and if I do make a mistake, the teacher and I can see where I am not understanding something.
121.
True or False: Integers are the whole numbers and their opposites.
a)
True
b)
False
122.
Which of the following expressions is the correct translation of the statement: "The difference of a number t and 22" ?
a)
t - 22
b)
22 + t
c)
22t
d)
22/t
123.
Which of the following expressions is the correct translation of the statement: "The product of 8 and a number k" ?
a)
8 + k
b)
8 - k
c)
8/k
d)
8k
124.
Evaluate the following without using a calculator:
-8 + (15 - 3) ÷ 4=
-8 + (15 - 3) ÷ 4=
a)
-5
b)
1
c)
-11
d)
11
125.
No calculators: What does 45 mean?
a)
4⋅4⋅4⋅4⋅4
b)
4⋅5
c)
5⋅5⋅5⋅5
d)
4+4+4+4+4
126.
Evaluate the following without using a calculator:
-2 ⋅ (3 + 8 ÷ 4)2=
-2 ⋅ (3 + 8 ÷ 4)2=
a)
-16
b)
1.375
c)
4
d)
-50
127.
Evaluate the following without using a calculator:
-2 ⋅ (3 + 8 ÷ 4)2=
-2 ⋅ (3 + 8 ÷ 4)2=
a)
-16
b)
1.375
c)
4
d)
-50
128.
Evaluate 2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
129.
Evaluate the following without using a calculator:
15 + 7 ⋅ 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
130.
Evaluate the following without using a calculator:
3[(4 + 6) ÷ 2]=
3[(4 + 6) ÷ 2]=
a)
15
b)
21
c)
9
d)
12
131.
Evaluation is a type of ____________
a)
Simplification
b)
Substitution
c)
Solving
d)
Distribution
132.
How many steps are there in PEMDAS?
a)
4
b)
5
c)
6
d)
3
133.
The Big Fraction Bar is a/an _______________ symbol.
a)
grouping
b)
operation
c)
division
d)
all of these
134.
A letter or symbol used to represent an unknown quantity, or a quantity whose value could change is called a...
a)
constant
b)
coefficient
c)
variable
d)
term
135.
Name the coefficient in the following equation:
5 - 8x = 17
5 - 8x = 17
a)
5
b)
8x
c)
8
d)
17
136.
Name the variable in the following statement:
3v +10 =15
3v +10 =15
a)
3
b)
v
c)
10
d)
15
137.
What type of statement is
4x2yz + 7m3 ?
4x2yz + 7m3 ?
a)
Expression
b)
Equation
c)
Inequality
d)
Relation
138.
Translate this phrase into an algebraic expression:
24 more than Victoria's test score.
Use x to represent Victoria's test score.
24 more than Victoria's test score.
Use x to represent Victoria's test score.
a)
24x
b)
x - 24
c)
x + 24
d)
x/24
139.
Translate this phrase into an algabraic expression.
78 less than Amari's test score
Use c to represent Amari's test score.
78 less than Amari's test score
Use c to represent Amari's test score.
a)
c - 78
b)
c + 78
c)
c/78
d)
78 - c
140.
Translate this phrase intoan Algebraic expression.
57 more than 3 times Ziana's score
Use the variable g to represent Ziana's score.
57 more than 3 times Ziana's score
Use the variable g to represent Ziana's score.
a)
57g + 3
b)
3g - 57
c)
3g + 57
d)
57 - 3g
141.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
4m + 8
b)
8m - 4
c)
8m + 4
d)
4m - 8
142.
There were x cookies at the beginning of a party. By the end of the party, 160 of them had been eaten (mostly by Cookie Monster.) Using x, write an expression for the number of cookies that were left.
a)
160
b)
x + 160
c)
160 - x
d)
x - 160
143.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
144.
Write a verbal expression for:
2a+6
2a+6
a)
6 more than the product of 2 times a number
b)
6 less than the product of 2 times a number
c)
6 more than the quotient of 2 and a number
d)
twice the sum of a number and 6
145.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
d)
12x(50 + 200)
146.
Write an algebraic expression for the following sentence:
"w increased by 5"
"w increased by 5"
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
147.
Beth is 6 years younger than twice her brother's age. Write an algebraic expression for Beth's age representing her brother's age as "x".
a)
6 - 2x
b)
2x - 6
c)
1/2x + 6
d)
x + 6
148.
Rowe is planning a 7th grade field trip. Bus Company A charges a $40 rental fee plus $4 for each student. Bus Company B charges $100 plus $2 per student. Which expression represents the cost for Company B for "x" students?
a)
40 + 4x
b)
40x + 4
c)
100 + 2x
d)
100x + 2
149.
To represent the price of an item after a discount of 30% off of a price of P, which expression should you use?
a)
1.30P
b)
0.30P
c)
0.70P
d)
1.70P
150.
The normal price of an item is H dollars. On a particular date, the store offers to take $30 off the price, then apply a 20% discount. Which expression represents the new price?
a)
0.80(P - 30)
b)
30P - 0.20
c)
0.80P - 30
d)
0.80(30 - P)
151.
How many terms are in the expression
3a - 2a - c + 7
3a - 2a - c + 7
a)
2
b)
3
c)
4
d)
5
152.
What are the terms in the expression
8x - 3y + 7 ?
8x - 3y + 7 ?
a)
8, -3, 7
b)
x, y
c)
8x, -3y, 7
d)
8x, 3y, 7
153.
What is the constant (numerical term) in the expression:
5x - 3x + 2x + 4 ?
5x - 3x + 2x + 4 ?
a)
2
b)
3
c)
4
d)
5
154.
On saturday, the Corelli family payed Erika $8.00 an hour for babysitting, and gave her a $12.00 tip. What does the x represent in the expression 8.00x+12.00 ?
a)
The amount Erika earned for the night.
b)
How much Erika earned per hour
c)
The number of hours Erika babysat.
d)
How much the Corellis tipped Erika
155.
Evaluate without a calculator :
-7 ⋅ 4 =
-7 ⋅ 4 =
a)
24
b)
28
c)
-28
d)
-24
156.
Evaluate without a calculator :
-5 ⋅ -8 =
-5 ⋅ -8 =
a)
-40
b)
-13
c)
-45
d)
40
157.
Evaluate without a calculator :
-12 + 9 =
-12 + 9 =
a)
21
b)
3
c)
-3
d)
-21
158.
Evaluate without a calculator :
-15 - 9 =
-15 - 9 =
a)
6
b)
-6
c)
24
d)
-24
159.
Evaluate without a calculator :
19 - -13 =
19 - -13 =
a)
6
b)
32
c)
24
d)
18
160.
Evaluate without a calculator :
45 + -18 =
45 + -18 =
a)
34
b)
27
c)
-27
d)
25
161.
Evaluate without a calculator :
-15 - 4 =
-15 - 4 =
a)
11
b)
-11
c)
19
d)
-19
162.
Evaluate without a calculator :
-24 - 18 =
-24 - 18 =
a)
-42
b)
6
c)
-6
d)
42
163.
Evaluate without a calculator :
12 ⋅ -4 =
12 ⋅ -4 =
a)
-24
b)
-36
c)
-60
d)
-48
164.
No calculators: The sum of two negative numbers is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
165.
No calculators: The sum of a number and its opposite is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
166.
No calculators: A negative subtracted from a negative results in a number that is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
167.
No calculators: The product of two negative numbers is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
168.
No calculators: The quotient of two negative number is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
169.
No calculators: The sum of a positive and a negative number is
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
170.
No calculators: A positive number subtracted from a negative number results in a number that is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
171.
No calculators: A negative number subtracted from a positive number results in a number that is...
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
172.
No calculators: The product of a positive number and a negative number is
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
173.
The Absolute Value is the distance a number is from _________ on the number line.
a)
Zero
b)
One
c)
Its reciprocal
d)
Its opposite
174.
No calculators: The quotient of a positive number and a negative number is
a)
Always negative
b)
Always positive
c)
Sometimes positive, and sometimes negative
d)
Zero
175.
∣-5∣ =
a)
5
b)
6
c)
7
d)
8
176.
∣5∣ =
a)
5
b)
6
c)
7
d)
8
177.
Solve for x: |x|=10
a)
10 and -10
b)
Just 10
c)
Just -10
d)
No solution
178.
Solve for x: |x| = -10
a)
10 and -10
b)
Just 10
c)
Just -10
d)
No solution
179.
Simplify without a calculator:
-5(-x + 3)
-5(-x + 3)
a)
5x + 15
b)
5x - 15
c)
5 - 3x
d)
3x + 5
180.
Simplify without a calculator:
2(4k + 7) =
2(4k + 7) =
a)
4k - 9
b)
4k + 9
c)
8k - 14
d)
8k + 14
181.
Simplify without a calculator:
Subtraction is not your friend!!
-9( -3h - 8) =
Subtraction is not your friend!!
-9( -3h - 8) =
a)
-27h + 72
b)
27h + 72
c)
9 + 11h
d)
-9 + 11h
182.
Simplify without a calculator:
-4(8 + 7k)
-4(8 + 7k)
a)
-32 - 28k
b)
32 + 28k
c)
12 + 11k
d)
-12 + 11k
183.
Simplify:
2x + 2x =
2x + 2x =
a)
4x
b)
4x2
c)
2x
d)
2x2
184.
Simplify:
3a + 3b + 2a + 3b =
3a + 3b + 2a + 3b =
a)
5a + 6b
b)
6a + 5b
c)
6a + 6b
d)
5a + 9b
185.
Simplify:
2x + 7(x-9) =
2x + 7(x-9) =
a)
9x-63
b)
9x-9
c)
9x+9
d)
2x+7x-63
186.
Which of the following is equivalent to
x⋅(2x-5) ?
x⋅(2x-5) ?
a)
2x2-5x
b)
-3x
c)
2x2-5
d)
None of these
187.
Evaluate x2 when x= ⁻3 :
a)
9
b)
-9
c)
6
d)
-6
188.
Evaluate 2x2-3x+6 when x= -5 :
a)
71
b)
-29
c)
-59
d)
41
189.
Simplify: x4⋅x2
a)
x6
b)
x8
c)
(2x)6
d)
(2x)8
190.
Which of the following expressions is equivalent to (3x2)3 ?
a)
27x6
b)
9x6
c)
3x6
d)
9x5
191.
The Power operation represents repeated _______________________.
a)
Multiplication
b)
Addition
c)
Subtraction
d)
Division
192.
Evaluate (2/3)5
a)
32/243
b)
32/5
c)
10/15
d)
1/5
193.
Factor the polynomial:
k2+7k+10
k2+7k+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
194.
Find the product: (2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
195.
Divide:
(9x2 + 6x) / (3x)
(9x2 + 6x) / (3x)
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
196.
Simplify
√160
√160
a)
4√5
b)
4√10
c)
10√4
d)
8√10
197.
Simplify
√50
√50
a)
2√5
b)
25√2
c)
5√2
d)
10√2
198.
Which of the following is equivalent to √8 ?
a)
√(8x)
b)
2√2
c)
8.282...
d)
(√7)×8%
199.
Distribute and simplify:
3 − (5x − 2) + 6x =
3 − (5x − 2) + 6x =
a)
x + 5
b)
x + 1
c)
1 − 11x
d)
11x − 5
200.
Distribute and simplify:
( 5x + 80)/5 − 2x
( 5x + 80)/5 − 2x
a)
-1x + 16
b)
3x + 80
c)
23x + 400
d)
-1x + 400
201.
What value of "x" would make 3√(6x) equivalent to 6√3 ?
a)
2
b)
3
c)
4
d)
6
202.
Describe how an expression is different than an equation:
a)
Equations have symbols on both sides of an equals sign. Expressions don't.
b)
Expressions have symbols on both sides of an equals sign. Equations don't.
c)
Equations have variables, expressions do not.
d)
Expressions have variables, equations do not.
203.
Which is an example of an inequality?
a)
4 + x = 9
b)
2a + 3b + 5c
c)
(-3,4)
d)
10m < 16
204.
Evaluate the following without using a calculator:
[25-(13+4)+4] ÷ 3 =
[25-(13+4)+4] ÷ 3 =
a)
6
b)
2
c)
3
d)
4
205.
Evaluate the following without using a calculator:
(2 + 7 - 1) ÷ 22 =
(2 + 7 - 1) ÷ 22 =
a)
16
b)
2
c)
72.25
d)
8.75
206.
Evaluate.
a)
20
b)
-20
c)
12
d)
-12
207.
Evaluate. [Hint: Turn the mixed numbers into improper fractions first.]
a)
1 and 4/7
b)
17/18
c)
5 and 6/11
d)
1 and 5/18
208.
Re-write the equation 2x − 4y = 12 to put it in slope-intercept form.
a)
y = 2x − 3
b)
y = ⁻2x− 3
c)
y = (½)x + 3
d)
y= (½)x - 3
209.
Which equation below could have produced this solution table?
a)
y = 3.75x + 2.5
b)
y = 2x + 2
c)
y = 3.75x + 2
d)
y = 2x + 2.5
210.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
211.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
212.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
213.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
214.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
215.
Solve for x:
10 ≥ x - 3
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
216.
Solve for x:
-24 < 2x-4 < -10
-24 < 2x-4 < -10
a)
-10 < x < -3
b)
x < -3
c)
x > -10
d)
-3 < x < 10
217.
What inequality is graphed?
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
218.
What inequality is graphed?
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
219.
You take a trip to the bowling alley, where each game costs $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?
a)
2x + 10 ≥ 25
b)
2x + 10 > 20
c)
2x + 10 ≤ 25
d)
2x + 10 < 25
220.
Which is the solution set to the inequality
2(h-4) ≤ 6(h-8)?
2(h-4) ≤ 6(h-8)?
a)
h≥10
b)
h ≤10
c)
h≥12
d)
h≤12
221.
Solve for c:
(2c + 10) / 4 ≤ -2 - c
(2c + 10) / 4 ≤ -2 - c
a)
c ≥ -3
b)
c ≤ 3
c)
c≤-3
d)
c≥3
222.
Which inequality below is a correct translation of this sentence, if you call height "h":
"You must be at least 48 inches tall to ride the bumper cars."
"You must be at least 48 inches tall to ride the bumper cars."
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
223.
Solve for b:
|b-8|+10>22
|b-8|+10>22
a)
-4<b<20
b)
b<-4 or b>20
c)
20<b<-4
d)
b=-4 or b=20
224.
Solve for m:
|m-2|<8
|m-2|<8
a)
9>m>8
b)
2<m< -6
c)
-6 <m< 10
d)
0>m<0
225.
Solve for p:
|p+4|≤ 8
|p+4|≤ 8
a)
p≤-2 or p≥2
b)
-2 ≤ p <2
c)
p≤-12 or p≥4
d)
-12 ≤ p ≤ 4
226.
Match the graph with its inequality.
a)
x≥0 and x<4
b)
x<0 and x≥4
c)
x<0 or x≥4
d)
x≤0 or x>4
227.
Solve for x:
10 < 3x + 19
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
228.
Solve for m:
-2m < 12
-2m < 12
a)
m<6
b)
m>6
c)
m<-6
d)
m>-6
229.
Solve for x:
- 25 > 5x
- 25 > 5x
a)
x < 5
b)
x < -5
c)
x > 5
d)
x > - 5
230.
Solve for x:
-3x ≥ 9
-3x ≥ 9
a)
x ≥ 12
b)
x ≥ -3
c)
x ≤ -3
d)
x ≤ -12
231.
Solve for x:
3(x - 2) < 2(x + 9)
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
232.
Which is a solution to the given inequality?
3x+5>11
3x+5>11
a)
-1
b)
0
c)
2
d)
3
233.
Solve for a:
14 < -2a + 6 - 2a
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 2
d)
a < 2
234.
Which inequality represents all of the solutions to 9(4x-8) < 4(6x+9) ?
a)
x< -3
b)
x < 9
c)
x > -3
d)
x > 9
235.
a)
Steps 1 and 2
b)
Steps 2 and 3
c)
Steps 3 and 4
d)
Steps 4 and 5
236.
Which inequality correctly models the following phrase: "The maximum score on the pilot's test is 95 points."
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
237.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
238.
Carrie gets 5 points for each correct answer on a test and has already earned 10 points of extra credit towards her test grade. She needs at least 77 points to pass the test.
Which inequality below could help you find the values of "a", the number of questions Carrie answers correctly, which would allow her to pass the test?
Which inequality below could help you find the values of "a", the number of questions Carrie answers correctly, which would allow her to pass the test?
a)
10a + 5 ≥ 77
b)
5a + 10 ≥ 77
c)
5a + 10 > 77
d)
5a + 10 ≤ 77
239.
James used a $25 gift card and bought a bunch of toys that cost $2 each for his little brothers. He still has over $10 left on the gift card.
Which inequality below could help you find the possible values of "t," the number of toys James bought?
Which inequality below could help you find the possible values of "t," the number of toys James bought?
a)
25 - 2t < 10
b)
25 - 2t > 10
c)
25 + 2t > 10
d)
25 g - 2 > 10
240.
Makayla began with $45 in her account. She saved $15 every week. She now has more than $205 in her account.
Which inequality below correctly represents this information? Let "w" number of weeks.
Which inequality below correctly represents this information? Let "w" number of weeks.
a)
15w + 45 < 205
b)
15w + 45 > 205
c)
45a + 15 < 205
d)
45a + 15 > 205
241.
What does this symbol represent?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
242.
What does this symbol represent?
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
243.
The French club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they sell at $3.50 each in order to meet that goal? Write and solve an inequality.
a)
They must sell 30 or more pastries.
b)
They must sell 40 or more pastries.
c)
They must sell 44 or more pastries.
d)
They must sell 38 or more pastries.
244.
A small airplane can carry less than 1,050 pounds of luggage and mail. The mail for the day weighs 490 pounds. If each passenger brings 70 pounds of luggage, what is the greatest possible number of passengers that can be taken?
a)
Seven passengers at most
b)
Six passengers at most
c)
Five passengers at most
d)
Twelve passengers at most
245.
Mark's Canoes rents canoes for $20 plus $35 per hour (whole hours only). You want to spend less than $150. For how many hours can you afford to rent the canoe?
a)
No more than three hours
b)
No more than 4 hours
c)
No more than 5 hours
d)
No more than six hours
246.
Which inequality matches the graph?
a)
12 ≤ -3x
b)
12 ≤ 3x
c)
-12 ≤ -3x
d)
-12 ≤ 3x
247.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiply by a negative number
d)
multiply or divide by a negative number
248.
R & G Catering specializes in catering wedding receptions. They charge $550 for setting up the buffet and an additional $6.50 per guest. Mr. and Mrs. Shaw want to spend no more than $1200 on their daughter’s wedding reception. Which inequality models this situation?
a)
550 + 6.50g ≤ 1200
b)
6.50 + 550g < 1200
c)
550 +6.50g ≥ 1200
d)
550 - 6.50g ≤ 1200
249.
A major film company wants to produce between 15 and 20 major films per year.
Which inequality below correctly represents the number of films, f, that this company projects to have made three years from now?
Which inequality below correctly represents the number of films, f, that this company projects to have made three years from now?
a)
15 ≤ f ≤ 20
b)
17 ≤ f ≤ 22
c)
45 ≤ f ≤ 60
d)
47 ≤ f ≤ 62
250.
Solve for x:
-2(x + 5) > 6
-2(x + 5) > 6
a)
x > -8
b)
x < -8
c)
x > 8
d)
x < 8
251.
Solve for x:
-2x + 7 > 4x - 5
-2x + 7 > 4x - 5
a)
x > 2
b)
x < 2
c)
x > -2
d)
x < -2
252.
Google Play says they are a better deal than Amazon for buying songs. Google Play charges $0.80 each song and a $10 membership fee. Amazon charges $1 each song and no membership fee.
Which of the following inequalities could help you find how many songs (x) you would need to buy before Google would become the better deal?
Which of the following inequalities could help you find how many songs (x) you would need to buy before Google would become the better deal?
a)
0.80x + 10 < 1x
b)
0.80x + 10 > 1x
c)
0.80x + 1x ≤ 10
d)
0.80x + 1x ≥ 10
253.
Simplify:
(2x4 + 3x2 - 5) +
(3x4 - 2x3 + 7)
a)
5x4 + x3 + 2
b)
5x4 - 2x3 + 3x2 + 2
c)
5x8 + x5 + 2
d)
5x8 - 2x3 + 3x2 + 2
254.
Factor the expression
x2 + 6x + 8.
a)
(x + 3)(x + 2)
b)
(x + 8)(x - 2)
c)
(x + 5)(x + 1)
d)
(x + 4)(x + 2)
255.
What is the first step in evaluating the expression
-2 ⋅ (3 + 8 ÷ 4)2 ?
a)
multiplication
b)
addition
c)
division
d)
subtraction
256.
Simplify the following expression:
(3b - 4) - (4b + 6)
a)
-b + 2
b)
-b - 10
c)
7b - 10
d)
7b + 2
257.
Which of the following is equivalent to
4√75 ?
a)
4√5
b)
12√5
c)
20√3
d)
7√3
258.
Solve for x:
2x + 3 = 2x + 7
a)
x=0
b)
x=4
c)
no solution
d)
All numbers are solutions
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