WorksheetsReview Expressions and Equations Unit 6
Total questions: 46
Worksheet time: 2hrs 18mins
Name
Class
Date
1.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x - 11
b)
3x - 11
c)
11 - 3x
d)
11 + 3x
2.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
3.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
4.
Simplify the Expression:
3a + 7 - 2a
a)
8a
b)
12a
c)
a + 7
d)
5a + 7
5.
Simplify the Expression:
3m - 15 + 2m - 4
a)
5m - 19
b)
m + 19
c)
5m - 15
d)
24m
6.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
7.
What is the simplified version of this expression? −4(8r+3)
a)
−32r−12
b)
32r−12
c)
−32r+12
d)
32r+12
8.
What is the simplified version of this expression? 9(−5x+8)
a)
45x−72
b)
45x+72
c)
−45x−72
d)
−45x+72
9.
8(x + 5)
a)
8x + 13
b)
8x + 5
c)
8x + 40
d)
13x
10.
-(8 - m)
a)
m - 8
b)
-8 - m
c)
8 - m
d)
m + 8
11.
Factor out the GCF:
12x + 6
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
12.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
13.
2x - 8
a)
-2(x+4)
b)
10x
c)
2(x-4)
d)
4x
14.
9x + 12
a)
3(3x +4)
b)
9(x+3)
c)
-3(3x+4)
d)
21x
15.
5x - 25
a)
5x - 25
b)
5(x + 5)
c)
5( x - 5)
d)
20x
16.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
17.
Solve 3x - 7 = 32
a)
13
b)
3
c)
12
d)
7
18.
7p+ 9 = 40.5
a)
7.5
b)
3.5
c)
8.5
d)
4.5
19.
-12 = 5r + 8
a)
-4
b)
4
c)
3
d)
6
20.
2c + 2 = 10
a)
4
b)
5
c)
3
d)
-4
21.
8 - 5b = -7
a)
3
b)
-3
c)
4
d)
1
22.
-3+n=25
a)
28
b)
22
c)
-22
d)
24
23.
11 = 18 + 7f
a)
-1
b)
1
c)
4.1
d)
6
24.
-24 - a = -15
a)
-9
b)
Δ?
c)
pick this one
d)
This one is wrong?...
25.
Solve for k:
3k + 5 = 23
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
26.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
27.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
28.
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
29.
What is the first step to solve this equation:
-11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
30.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
31.
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
32.
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
33.
Hailey bought a book for $2.50 and 4 stickers. She spent a total of 6.59. How much did the stickers cost?
a)
$2.50 + 4s =$6.59
b)
$2.50s + 4 = $6.59
c)
$2.50 - 4s = $6.59
d)
4s - $2.50 = $6.59
34.
A group of 3 friends each have video games at their home. Then each friend buys 5 more video games. Now the three friends have a total of 30 video games. How many video games did each friend start with?
a)
3(x+5) = 30
b)
x(3+5) = 30
c)
5(x+3) = 30
d)
30(3+5) = x
35.
Last season, I spent $2752 to see my team play 43 games. To see each game, I had to buy a ticket and pay $10 for parking. How much was each ticket?
a)
10(x+43) = 2752
b)
x(10+43) = 2752
c)
43(x+10) = 2752
d)
2752(43+x)=10
36.
WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
a)
4x=472
b)
9x=472
c)
4+9x=472
d)
4+x=472
37.
Gabby has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Gabby to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
38.
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
39.
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
40.
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
41.
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.
The correct equation was 11x + 6 = 39.
So, how many hours was the lesson?
The correct equation was 11x + 6 = 39.
So, how many hours was the lesson?
a)
x = 3
b)
x = 2
c)
x = 4
d)
x = 5
42.
Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost?
a)
$12
b)
$6
c)
$2
d)
$3
43.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?
a)
30 minutes
b)
60 minutes
c)
250 minutes
d)
300 minutes
44.
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
45.
Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes. Andrea made 10 sales last Saturday and earned a total of $80. How much does Andrea earn for each sale she makes?
a)
$6
b)
$8
c)
$10
d)
$12
46.
A science class is planning a field trip to the zoo. The zoo offers a special rate of $135.00 for 15 students and $7.50 for each additional student. What is the cost of admission for a group of 26 students?
a)
$195.00
b)
$217.50
c)
$247.50
d)
$330.00
100 %
