WorksheetsAlgebra I -- Chapter 2 Review
Total questions: 59
Worksheet time: 7hrs 14mins
Name
Class
Date
1.
A number tripled subtracted from 60 is the same as 21.
a)
3c − 60 = 21
b)
60 − 3 = 21c
c)
60 − 3c = 21
d)
c(60 − 3) = 21
2.
Five less than twice a number is equivalent to thirty.
a)
5x - 2 = 30
b)
x - 5 = 30
c)
2x - 5 = 30
d)
5 - 2x = 30
3.
Fifteen less than half a number is equivalent to eleven.
a)
(1/2)x + 15 = 11
b)
2x - 15 = 11
c)
15 - (1/2)x = 11
d)
(1/2)x - 15 = 11
4.
Translate.
A number m minus 8 is the same as a number n divided by 2.
A number m minus 8 is the same as a number n divided by 2.
a)
m-8=n/2
b)
8-m=n/2
c)
m-8=2/n
d)
(m-8)/2=n
5.
Translate.
100-2x=80
100-2x=80
a)
The difference of 100 and the product of 2 and x is eighty.
b)
100 minus two times x plus 80.
c)
x=10
d)
x=-10
6.
Find three consecutive even integers whose sum is 132.
a)
42, 44, 46
b)
43, 44, 45
c)
43, 45, 47
d)
42, 43, 44
7.
Equivalent Ratios?
5/9, 25/45
5/9, 25/45
a)
yes
b)
no
8.
Solve.
|2z-9|=1
|2z-9|=1
a)
{5, 4}
b)
{-5, 5}
c)
{5, 9/2}
d)
{-5, 9/2}
9.
Solve.
(x+1)/4 = 3/4
(x+1)/4 = 3/4
a)
x=2
b)
x=-2
c)
x=3
d)
x=-4
10.
Josh finished 24 math problems in one hour. At that rate, how many hours will it take him to complete 72 problems?
a)
3
b)
1/3
c)
12
d)
2
11.
In November 2010 the average price of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the price for 16 gallons of gas?
a)
$46.27
b)
$231.36
c)
$1,156.80
d)
$17.35
12.
State whether percent of change in increasing or decreasing. Then find the percent of change.
original: 90
new: 270
original: 90
new: 270
a)
200%
b)
67%
c)
50%
d)
150%
13.
Find the final price.
DVD player: $269.00
Discount: 20%
Sales Tax: 7%
DVD player: $269.00
Discount: 20%
Sales Tax: 7%
a)
$230.26
b)
$300.20
c)
$215.20
d)
$250.17
14.
Solve 7x+3y=m, for y.
a)
y=(m-7x)/3
b)
y=m-7x/3
c)
y=(7x-m)/3
d)
y=m/3-7x
15.
Trent purchased 44 euros worth of souvenirs while on vacation in France. If $1=0.678 euros, find the cost of the souvenirs in United States dollars. Round to the nearest cent.
a)
$64.90
b)
$64.89
c)
$29.83
d)
$29.84
16.
The United States released 5.877 billion metric tons of carbon dioxide into the environment through the burning of fossil fuels in a recent year. If 1 trillion pounds=0.4536 billion metric tons, how many trillions of pounds of carbon dioxide did the United States release in that year?
a)
12.96 trillion pounds
b)
15.67 trillion pounds
c)
13 trillion pounds
d)
16 trillion pounds
17.
Whole milk is 4% butterfat. How much skim milk with 0% butterfat should be added to 32 ounces of whole milk to obtain a mixture that is 2.5% butterfat?
a)
19.2 ounces
b)
16 ounces
c)
no solution
d)
8 ounces
18.
Two trains leave Chicago, one traveling east at 30 miles per hour and one traveling west at 40 miles per hour. When will the trains be 210 miles apart?
a)
3 hours
b)
3.5 hours
c)
6 hours
d)
2 hours
19.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
20.
Translate the statement into an equation:
The sum of 4 times a number and 8 is equal to 6 times the number.
The sum of 4 times a number and 8 is equal to 6 times the number.
a)
8 + 4 = 6
b)
8 + 4x = 6
c)
8 + 4x = 6x
d)
(8 + 4) ⋅ x = 6x
21.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
22.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
23.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
24.
|2a - 10| = 6
a)
a = 8, a = 5
b)
a = 2
c)
a = 8
d)
a = 8, a = 2
25.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
26.
Solve the proportion.
a)
17.5
b)
15
c)
8
d)
14
27.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
28.
Last year, 2,376 people attended a summer music festival. This year, attendance was 2,950. What was the percent of change in attendance to the nearest whole percent?
a)
Increase 24%
b)
Increase 19%
c)
Decrease 24%
d)
Decrease 19%
29.
Mrs.Mroc has 35 students in her science class.If her class increases to 42 students next year, what will be the percent of change?
a)
20%
b)
75%
c)
93%
d)
33%
30.
Find the percent of change if the original cost was $5 and the new cost is $1.
a)
Increase $4
b)
Decrease $4
c)
Decrease 80%
d)
Decrease 400%
31.
Umbrella: $14.00
tax: 5.5%
Find the total price.
tax: 5.5%
Find the total price.
a)
$14.77
b)
$21.70
c)
$14.95
d)
$15.25
32.
watch: $37.55
discount: 35%
Find the total price.
discount: 35%
Find the total price.
a)
$13.14
b)
$18.41
c)
$24.41
d)
$26.21
33.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
34.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
35.
Solve for y:
8x + 4y= 16
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
36.
Solve:
C = xv + x , for v
C = xv + x , for v
a)
(C-x)/x = v
b)
(C+x)/x = v
c)
(-C-x)/x = v
d)
(Cx)/x = v
37.
The sum of three consecutive integers is 48. What is the smallest number in the group?
a)
16
b)
15
c)
17
d)
24
38.
The sum of 4 consecutive integers is 180. What is the largest number in the group?
a)
61
b)
62
c)
176
d)
44
39.
The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?
a)
91
b)
92
c)
183
d)
182
40.
The sum of three consecutive EVEN numbers is -138. What is the smallest of the three numbers?
a)
-48
b)
-45
c)
-46
d)
-47
41.
Which of the following setups would be used to find four consecutive integers?
a)
n
n+2
n+4
n+6
n+2
n+4
n+6
b)
n
2n
4n
6n
2n
4n
6n
c)
n+1
n+2
n+3
n+4
n+2
n+3
n+4
d)
n
n+1
n+2
n+3
n+1
n+2
n+3
42.
What two consecutive even integers have a sum of 90?
a)
30 and 60
b)
43 and 47
c)
44 and 46
d)
10 and 80
43.
Find three consecutive odd integers whose sum is -45.
a)
-15, -17, -19
b)
-17, -18, -19
c)
-13, -15, -17
44.
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer.
a)
-41
b)
-40
c)
-39
d)
-43
45.
Solve.
a)
All real numbers
b)
0
c)
No solution
d)
4
46.
Solve.
a)
No solution
b)
All real numbers
c)
3
d)
0
47.
Solve.
a)
4
b)
All real numbers
c)
No solution
d)
0
48.
Solve.
a)
All real numbers
b)
No solution
c)
0
d)
12
49.
Solve.
a)
0
b)
All real numbers
c)
No solution
d)
-3
50.
Solve.
a)
6
b)
No solution
c)
All real numbers
d)
0
51.
Solve | 2x - 1 | = -4
a)
x = 1/2 and x = -4
b)
No Solution
c)
x = -3/2 and x = 5/2
d)
x = 3/2 and x = -5/2
52.
Solve | 3x - 6 | - 9 = -3
a)
No Solution
b)
x = 0 or x = 4
c)
x = 2 or x = -2
d)
x = -4 or x = 4
53.
Solve | 3n + 12 | = 2n
a)
No Solution
b)
n = -12 or n = -12/5
c)
n = -12
d)
n = -12/5
54.
Solve |-7n + 4| + 9 = 34
a)
n = -3
b)
No Solution
c)
n = -3, n = -29/7
d)
n = -3, n = 29/7
55.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
56.
Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Which equation represents the location of Emily's house in relation to the school?
a)
|x + 6| = 10
b)
|x – 6| = 14
c)
|x – 14| = 6
d)
|x + 14| = 6
57.
The lowest test grade in a class is a 75 and the highest is 91. Write an absolute value equation that expresses the highest and lowest scores on the test
a)
|x+75|=91
b)
|x-91|=75
c)
|x-83|=8
d)
|x-8|=83
58.
What is absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number is from zero
d)
The multiplicative inverse of a number
59.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
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