WorksheetsUnit 4 Exam Review
Total questions: 47
Worksheet time: 4hrs 58mins
Name
Class
Date
1.
Simplify the expression 2x−6−2
a)
−6x
b)
2x−4
c)
2x−8
d)
−2x
2.
Simplify the expression 4x+3−6x−2x−1
a)
−2x
b)
2
c)
−4x+2
d)
−1x
3.
Simplify the expression 3−2(2x+1)+4x
a)
x=0
b)
x=1
c)
1
d)
Cannot simplify because 3 and 4x are not like terms.
e)
5
4.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
14x + 12
b)
14x
c)
14x - 12
d)
56x - 24
5.
½(8x + 2)
a)
16x + 4
b)
4x + 2
c)
4x + 4
d)
4x + 1
6.
8(x+5) - 4(x+4)
a)
2x + 10
b)
2x + 21
c)
4x + 24
d)
4x - 8
7.
Simplify using the distributive property: -2(2m - 12)
a)
88m - 66
b)
92m - 66
c)
-4m + 24
d)
120m + 60
8.
Simplify 21x + 43x + 41x+4
a)
121x+4
b)
x
c)
4
d)
43x
9.
Factor
8m − 24
a)
can't be factored
b)
m(8 − 24)
c)
4m(2 − 6)
d)
4(2m − 6)
10.
Factor
21p + 7
a)
7(3p + 1)
b)
7(3p + 7)
c)
can't be factored
d)
3(7p + 7)
11.
Factor
12r + 30
a)
12(r + 18)
b)
can't be factored
c)
6(2r + 5)
d)
5(7r + 13)
12.
Factor
11t − 23
a)
11(t − 23)
b)
t − 23
c)
can't be factored
d)
11(t − 2)
13.
Factor
6p − 36
a)
6(p − 6)
b)
2(3p − 36)
c)
3(2p − 6)
d)
can't be factored
14.
5x - 3 - x + 1
a)
4x-2
b)
2x-1
c)
2
d)
x+3
15.
Level 2
Solve for a
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
16.
Level 2
Solve for z
a)
z = -1
b)
z = 1
c)
z = 0
d)
z = 8
17.
Level 3
Solve for a
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
18.
Level 3
Solve for a
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
19.
Level 3
Solve for x
a)
x = 2
b)
x = -2
c)
x = -10
d)
x = 4
20.
Level 3
Solve for w
a)
w = 2
b)
w = 4
c)
w = 6
d)
w = 8
21.
Level 4
Solve for x
a)
2/3
b)
1/3
c)
-1/3
d)
4
22.
Level 4
Solve for z
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
23.
4c - 6 = 2
a)
2
b)
-2
c)
1
d)
3
24.
5d - 6 = 9
a)
3
b)
-3
c)
0.67
d)
10
25.
-5 + 7k = -19
a)
-3
b)
5
c)
2
d)
-2
26.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
27.
Samuel bought 3 tires for $79.95 each and some rims for $59 each. He spent a total of $534.85. Which equation could be used to find the number of rims, r, Samuel bought?
a)
3(79.95) - 59r = 534.85
b)
79.95r - 59(3) = 534.85
c)
3(79.95) + 59r = 534.85
d)
79.95r + 59(3) = 534.85
28.
WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
n=total cost pencils; 7n+10=24
b)
n=cost of 1 pencil; 7n-10=24
c)
n=cost of 1 pencil; 7n+10=24
d)
n=cost of 1 pencil; -7n-10=24
29.
Bonnie spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12? (Define 'n' and write the equation.)
a)
n=wkly allowance; 2n-4=12
b)
n=wkly allowance; 2n+4=12
c)
n=wkly allowance; n/2-4=12
d)
n=wkly allowance; n/2+4=12
30.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
31.
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? (Define 'n' and write the equation.)
a)
n=total cost of erasers; 5 + 4n = 25
b)
n=cost of 1 eraser; 5 - 4n = 25
c)
n=cost of 1 eraser; 5n + 4 = 25
d)
n=cost of 1 eraser; 5 + 4n = 25
32.
Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.
An electrician charges $90 per hour plus a $50 travelling fee.
a)
y = 50 - 90x
b)
y = 90x + 50
c)
y = -50x + 90
d)
y = -90 - 50x
33.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
34.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
35.
Solve the equation:
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
36.
Solve the equations:
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
37.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
38.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
39.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
40.
Solve for x.
a)
55
b)
60
c)
15
d)
35
41.
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
42.
Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?
a)
21 games
b)
3 games
c)
7 games
d)
99 games
43.
A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?
a)
8
b)
9
c)
7
d)
10
44.
A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.
a)
c/7 - 4 = 8
b)
c/4 + 7 = 8
c)
4/c - 7 = 8
d)
c/4 - 7 = 8
45.
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.
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?
a)
x = 30
b)
x = 25
c)
x = 35
d)
x = 31
46.
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
47.
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
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