Quiz about Equations and Word Problems

Question 1

If one roll of masking tape costs $1.15, how many rolls can Emma buy  with $5.75?

Accepted Answer

1.15x = 5.75

Answer

1.15(5.75) = x

Answer

5.75x = 1.15

Answer

x = 1.15/ 5.75

Question 2

Ashley finds masking tape in packages of 4 rolls for $4.32. What is the cost of one roll in  the package?

Accepted Answer

4x = 4.32

Answer

4.32x = 4

Answer

4(4.324) = x

Answer

4/ 4.32 = x

Question 3

Each pair of socks costs $2.50. if Ella buys 6 pairs, how much does she pay?

Accepted Answer

2.50(6) = x

Answer

6x = 2.50

Answer

2.50 = 6x

Answer

6 = 2.50x

Question 4

Andrew has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Andrew needs to save to by the IPOD?

Accepted Answer

55 + x = 145

Answer

145x = 55

Answer

55 - x = 145

Answer

145 (55) = x

Question 5

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

Accepted Answer

f + 8 = 14

Answer

f - 8 = 14

Answer

f/8 = 14

Answer

8f=14

Question 6

Joey
and four of his friends went out to eat. They decided to split the bill evenly.
Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.

Accepted Answer

d/5=$11.13

Answer

d/4=$11.13

Answer

4d=$11.13

Answer

5d=$11.13

Question 7

Sally
bought three candy bars for a total of $18.00. How much did each candy bar
cost? Write an equation to solve this problem. Use c as your variable.

Accepted Answer

3c=18

Answer

18c=6

Answer

c + 6= 18

Answer

c +18 = 6

Question 8

Amy
was given an amount of money, m, for
a good grades on her report card. She spent $15.00 and now has $25.32. How much
money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.

Accepted Answer

m-15=25.32

Answer

m-25.32=15

Answer

m/25.32

Answer

15m=25.32

Question 9

17 = x + 3

Accepted Answer

x = 14

Answer

x = 20

Answer

x = 13

Answer

x = 19

Question 10

y - 4.6 = 12

Accepted Answer

16.6

Answer

5.8

Answer

7.4

Answer

Answer not Given

Question 11

Solve: 18x=324

Accepted Answer

18

Answer

16

Answer

17

Answer

19

Question 12

4x = 44

Accepted Answer

x = 11

Answer

x = 40

Answer

x = 48

Answer

x = 176

Question 13

WRITE AN EQUATION
Lilli 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?

Accepted Answer

-x/2 + 4 = 12

Answer

x/2 - 4 = 12

Answer

12 - 4 = x

Answer

12 - 4 = -x/2

Question 14

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?

Accepted Answer

4+9x=472

Answer

4x=472

Answer

9x=472

Answer

4+x=472

Question 15

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

Accepted Answer

n - $5.12 = $27.10

Answer

n + $5.12 = $27.10

Answer

n - $5.12 = -$27.10

Answer

$5.12 - n = $27.10

Question 16

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

Accepted Answer

14h = 112

Answer

14 / h = 112

Answer

h + 14 = 112

Answer

h - 14 = 112

Question 17

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?

Accepted Answer

2x + 1 = 15

Answer

x - 15 = 1

Answer

x + 1 = 15

Answer

x + 1 = x + 15

Question 18

Which equation would describe "two times a number plus five equals 15"?

Accepted Answer

2x + 5=15

Answer

x + 5 = 15

Answer

x + 2(5) = 15

Answer

2(x + 5) = 15

Question 19

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?

Accepted Answer

18 miles

Answer

20 miles

Answer

22 miles

Question 20

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service.  Which equation below can be used to find c, the total cost for one month when m, minutes are used?

Accepted Answer

c = 0.12m + 8

Answer

c = 0.12m + 8m

Answer

c = 8m + 0.12m

Answer

c = 0.20m

Question 21

Daniel is paid $10 per week for selling newspaper subscriptions.  He is also paid $3.50 for each new customer (x) that signs up for the subscription.  Which equation represents the amount (y) Daniel earns  per week?

Accepted Answer

y = 10 + 3.5x

Answer

y = 3.5x

Answer

y= 10 + x

Answer

y = 10 + 35x

Question 22

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?

Accepted Answer

29 + n = 41

Answer

29 - n = 41

Answer

29 - n = 40

Answer

29 + n = 40

Question 23

What is the first step to solve this equation:
-3x + 11 = 44

Accepted Answer

Subtract 11 from both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Answer

Divide 3 on both sides.

Question 24

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

Accepted Answer

Add 62 to each side.

Answer

Subtract 62 from each side.

Answer

Multiply each side by 62.

Answer

Add 123 to each side.

Question 25

What is the first step in solving this equation:
5x + 7 = 12

Accepted Answer

Subtract 7

Answer

Divide by 5

Answer

Subtract 5

Answer

Multiply by 7

Question 26

What is the first step to solve this equation:
11 - 3x = 44

Accepted Answer

Subtract 11 from both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Answer

Divide 3 on both sides.

Question 27

The steps in solving 5b - 6 = 24 are:

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 28

2x + 1 = 6

What would the first step be in solving this equation?

Accepted Answer

Subtract 1

Answer

Divide by 2

Answer

Subtract 6

Answer

Times 2

Question 29

Look at the work. What was done incorrectly?

Accepted Answer

Don't divide by 2 first

Answer

Don't add 7 to both sides

Answer

It's correct!

Answer

They should have subtracted 7

Question 30

Look at the work. What SHOULD have been the first step?

Accepted Answer

Subtract 1 on both sides

Answer

It's correct!

Answer

Add 5 on both sides

Answer

Divide by 3 on both sides

Question 31

How do you know when an equation has been solved and your work is done?

Accepted Answer

When x is by itself on one side of the equal sign

Answer

When you get a whole number

Answer

After you add or subtract

Answer

When there are no more variables

Question 32

The goal of solving two-step equations is to:

Accepted Answer

Find the value of the variable

Answer

Make life difficult

Answer

Find the coefficient

Answer

Make everything equal zero

Question 33

What is the inverse operation needed to solve for p?
765 = p - 254

Accepted Answer

addition

Answer

subtraction

Answer

multiplication

Answer

division

Question 34

4x + 7 = 23

Accepted Answer

x = 4

Answer

x = 16

Answer

x = 9

Answer

x = 12

Question 35

20 = 2 - a

Accepted Answer

a= -18

Answer

a= 18

Answer

a= -10

Answer

a= 12

Question 36

3c + 5 = 23

Accepted Answer

c = 6

Answer

c = 3

Answer

c = 7

Answer

c = 18

Question 37

-4x+1=21

Accepted Answer

x=-5

Answer

x=120

Answer

x=5

Answer

x=30

Question 38

Which equation would describe "two times a number plus five equals 15"?

Accepted Answer

2x + 5=15

Answer

x + 5 = 15

Answer

x + 2(5) = 15

Answer

2(x + 5) = 15

Question 39

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?

Accepted Answer

18 miles

Answer

20 miles

Answer

22 miles

Question 40

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?

Accepted Answer

4.5 hours

Answer

2.5 hours

Answer

7.5 hours

Answer

10.5 hours

Equations and Word Problems

45 questions

If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

Ashley finds masking tape in packages of 4 rolls for $4.32. What is the cost of one roll in the package?

Each pair of socks costs $2.50. if Ella buys 6 pairs, how much does she pay?

Andrew has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Andrew needs to save to by the IPOD?

Two hundred seventy-six people are seated in 12 identical rows for a performance of a school play. How many people are in each row? Let p be the number of people in each row.

A $20 t-shirt is on sale for 1⁄10 off. How much money will Sierra save if she buys the shirt on sale? Let d be the number of dollars saved.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics