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WorksheetsAdvanced Equations+Winter MAP Review
Total questions: 110
Worksheet time: 6hrs 25mins
Name
Class
Date
1.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
2.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
3.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
4.
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9
5.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
6.
6x + 3x = 18
a)
x = 1/2
b)
x = 2
c)
x = 6
d)
x = 1/3
7.
6x - 5 + 7x = 34
a)
x = 31
b)
x = 31/13
c)
x = 3
d)
x = -31
8.
-15 + 3x - 7x = -43
a)
x = 7
b)
x = -7
c)
x = 58/4
d)
x = -14/5
9.
3h - 5h + 11 = 17
a)
h = -3/4
b)
h = -19
c)
h = -3
d)
h = 7/2
10.
2r + 8 - r = -7
a)
r = -15
b)
r = 1
c)
r = 15
d)
r = -5
11.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
12.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
13.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
14.
2(3x +4)+6x−5(−3x−7)=151
a)
1
b)
-1
c)
-4
d)
4
15.
−118=−5(4+7x)+7
a)
−5
b)
−9
c)
3
d)
−1
16.
97=−3(6n−5)−8
a)
−10
b)
16
c)
−5
d)
−2
17.
−(3v+1)+7(6v+6)=−37
a)
4
b)
0
c)
2
d)
−2
18.
Solve for x.
a)
55
b)
60
c)
15
d)
35
19.
Solve.
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
20.
a)
-1
b)
1
c)
29
d)
-29
21.
a)
-10
b)
10
c)
2/5
d)
-2/5
22.
Solve by combining like terms.
2x + 5x − 4 = 1 + (−3)²
a)
x = 1/2
b)
x = -2
c)
x = 2
d)
x = 8
23.
Solve for y.
3(y+4) −2y = −4
a)
y=16
b)
y=-2/5
c)
y=-8
d)
y=-16
24.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
25.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
26.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35
d)
.50x - 20 = 35
27.
The steps in solving 5b - 6 = 24 are:
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
28.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
29.
WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?
a)
x/2 + 16= 36
b)
36 + 16 = x
c)
x/2 - 16 = 36
d)
x/2 = 36 + 16
30.
A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.
a)
10m + 35 = 115
b)
10m - 35 = 115
c)
115m + 35 = 10
d)
35m + 10 = 115
31.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
32.
Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?
a)
14h = 112
b)
14 / h = 112
c)
h + 14 = 112
d)
h - 14 = 112
33.
In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?
a)
x - 15 = 1
b)
x + 1 = 15
c)
2x + 1 = 15
d)
x + 1 = x + 15
34.
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?
a)
18 miles
b)
20 miles
c)
22 miles
35.
Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
36.
It takes a turtle 3 ¼ hours to walk 1 ½ miles. How many hours does it take to walk one mile?
a)
6/13 hours
b)
4 7/8 hours
c)
2 1/6 hours
d)
8/39 hours
37.
Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?
a)
15/2 hours
b)
2/15 hours
c)
40/3 hours
d)
3/40 hours
38.
a)
-5/14
b)
7/40
c)
5/14
d)
10/28
39.
a)
9/17
b)
32/45
c)
20/72
d)
15
40.
Which is the better deal?
Doritos
$4.39 for 11.5 oz
OR
Cheetos
$2.24 for 9.75 oz
Doritos
$4.39 for 11.5 oz
OR
Cheetos
$2.24 for 9.75 oz
a)
Doritos
b)
Cheetos
41.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
42.
Does this table represent a proportional relationship?
a)
Yes
b)
No
43.
Does this table represent a proportional relationship?
a)
Yes
b)
No
44.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
45.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
46.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
47.
Is this graph proportional?
a)
Yes
b)
No
48.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
49.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
50.
Susie got a raise. She was making $8.75 an hour. Now she is making $9.50. What is the percent of change?
a)
6% Increase
b)
7% Increase
c)
8% Increase
d)
9% Increase
51.
Find the PERCENT of change.
20 dogs to 5 dogs
20 dogs to 5 dogs
a)
Decrease 15 dogs
b)
Increase 15 dogs
c)
Increase 75%
d)
Decrease 75%
52.
Daniel has dinner at a restaurant and the cost of his meal is
$28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?a)
33.60
b)
40.00
c)
24.60
d)
30.50
53.
Sam is buying some groceries. They total to $35.50. The sales tax is 4.5%. When he goes to pay, how much will he owe?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$2.50
54.
A sporting goods store reduced its prices on all skateboards by 25%. If the original price of a skateboard was $68, what is its discount price?
a)
$17
b)
$43
c)
$51
d)
$85
55.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
56.
Casey is a car salesman and earns 20% commission for every car he sells. If Casey's sales were $160,000 this month, how much did he earn in commission?
a)
$13,333.33
b)
$3,200
c)
$128,000
d)
$32,000
57.
Find the total cost. $20 meal; 9% sales tax; 20% gratuity (tip) after the sales tax has been added.
a)
$ 1.80
b)
$ 4.00
c)
$26.16
d)
$25.80
58.
What is the missing value in the ratio table?
a)
10
b)
12
c)
6
d)
4
59.
What is the slope of the line pictured?
a)
2
b)
-2
c)
1/2
d)
-1/2
60.
What is the slope of the line pictured?
a)
2/3
b)
-2/3
c)
3/2
d)
-3/2
61.
What is the slope of the line pictured?
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
62.
What is the slope of the line pictured?
a)
0
b)
Undefined
c)
3
d)
1/3
63.
What is the slope of the line pictured?
a)
0
b)
Undefined
c)
-1
64.
What is the slope of the line that passes through the points (2, 7) and (8, 9)?
a)
2
b)
-2
c)
1/3
d)
-1/3
65.
What is the slope of the line passing through the points (3, 7) and (5, 9)?
a)
1
b)
-4
c)
1/2
d)
-1/2
66.
What is the slope of the line passing through the points (6, 2) and (6, 11)?
a)
9
b)
-9
c)
0
d)
Undefined
67.
Find the Slope
a)
No Slope
b)
3
c)
1/3
d)
Zero
68.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
69.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
70.
Sides a and b are called legs.
a)
true
b)
false
71.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
72.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
73.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
74.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
75.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
76.
√64=___
a)
+ 6 only
b)
± 6
c)
± 8
d)
+ 8 only
77.
(-6)2
a)
12
b)
-12
c)
-36
d)
36
78.
Which of the following is a perfect square?
a)
10
b)
25
c)
50
d)
89
79.
√.81
a)
9
b)
.09
c)
.9
d)
Not Possible
80.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
81.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
82.
(34)(37)
a)
328
b)
33
c)
3-3
d)
311
83.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
84.
Simplify.
50
50
a)
5
b)
1
c)
0
d)
50
85.
a)
k7
b)
k3
c)
1/k10
d)
k10
86.
a)
b6
b)
b7
c)
b1
d)
b-6
87.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
88.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
89.
Evaluate. Choose both correct answers.
a)
b)
c)
d)
90.
Simplify the expression.
(xy)7
(xy)7
a)
x7y7
b)
xy7
c)
xy14
d)
x7/y7
91.
According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
92.
According to exponent rules, when we multiply exponential expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
93.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
94.
a)
7/ u3
b)
7u11
c)
7u1.75
d)
7u3
95.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
96.
Add these expressions
(x+5) + (2x+10)
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
97.
x2+2−1+6x2−4x2
a)
x 2 -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
98.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
99.
Simplify the expression.
6(2a+5b)+3(a-8b)
a)
15a+6b
b)
21ab
c)
5a
d)
15a-6b
100.
(5x - 6) - (x + 2)
a)
4x - 8
b)
4x - 4
c)
4x + 4
101.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
102.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
103.
14 - 2 ( 3p + 1) = 6 ( 4 + p)
a)
No Solution
b)
One Solution
c)
Infinite Solutions
104.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
105.
12 (x + 3 ) = 4 (2x + 9 ) +4x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
106.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
107.
Find the solution to the equation:
-13 + 5a = 3(a - 3)
-13 + 5a = 3(a - 3)
a)
a = 5
b)
a = 9
c)
a = 0
d)
a = 2
108.
Solve:
10x - 8/3 - 4x = 6x
10x - 8/3 - 4x = 6x
a)
No Solution
b)
x = 8/3
c)
Infinitely Many Solutions
109.
Solve:
5.5 - x = -4.5 - x
5.5 - x = -4.5 - x
a)
No Solution
b)
x = 10
c)
Infinitely Many Solutions
110.
Solve:
1/3(2b + 9) = 2/3(b + 9/2)
1/3(2b + 9) = 2/3(b + 9/2)
a)
No Solution
b)
x = 3
c)
Infinitely Many Solutions
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