Free Printable Writing Two-Step Equations

1.

What operation does the term "the quotient of" mean?

a)

addition

b)

subtraction

c)

multiplication

d)

division

2.

Choose the correct equation for the following sentence:

Three more than the product of a number and four is 15.

a)

$3-4n=15$

b)

$3+\frac{n}{4}=15$

c)

$3+4n=15$

d)

$4+3n=15$

3.

Which sentence represents the following equation:

$3m-8=12$

a)

The difference of three times a number and eight is 12.

b)

The sum of three times a number and eight is 12.

c)

The sum of three times a number and twelve is 8.

d)

Three times a number increased by eight is 12.

4.

What operation do these terms mean?

difference

decreased by

less than

a)

addition

b)

subtraction

c)

multiplication

d)

division

5.

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. Which equation could help me find how many books can be printed for $4,000?

a)

800 + 5x = 4000

b)

800x + 5 = 4000

c)

4000 + 5x= 800

d)

800 + 5 = 4000

6.

John has 65 quarters in his collection, which is 10 more than 5 times the number of nickels in his collection. Which equation can be used to determine the number of nickels, n, in John’s collection?

a)

$65=10-5n$

b)

$65=5n+10$

c)

$65=5n-10$

d)

$65=5+10n$

7.

Choose the equation that represents the following sentence:

Three less than twice a number is -8.

a)

$3+2x=-8$

b)

$2x-3=-8$

c)

$2x=-8$

d)

$2x+3=-8$

8.

Penelope is going to the carnival and she has $35 to spend on the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. How many ride tickets can Penelope buy if she has $35 to spend in total?

The correct equation for this word problem is

20 + 0.50x = 35. What does the variable, x, stand for, in the equation?

a)

The amount of money Penelope has to spend.

b)

The number of ride tickets Penelope can buy.

c)

The number of people who went to the carnival with Penelope.

d)

The cost to get into the carnival.

9.

Connie’s dog, Jesse, weighs 35 pounds. Her vet placed Jesse on a weight loss diet for 6 months. After the diet, Jesse weighed 28 pounds. Which equation can be used to find how many pounds, p, Jesse lost each month?

a)

$35-6p=28$

b)

$35+6p=28$

c)

$35-28p=6$

d)

$35p+28=6$

10.

Which sentence represents the following equation:

$\frac{n}{6}+8=12$

a)

A number times six, decreased by eight, is 12.

b)

The quotient of a number and six, increased by 12, is 8.

c)

Eight more than the quotient of a number and six is 12.

d)

A number times six plus eight is 12.

11.

A taxi charges a $3 fee and an additional $1.50 for each mile traveled. Mr. Maxwell rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Maxwell live from the airport? Choose the answer that has both the correct equation and the correct number of miles.

a)

$3+1.50m=30$ 18 miles

b)

$3m-1.50=30$ 15 miles

c)

$3+1.50m=30$ 15 miles

d)

$30+3m=1.50$ 20 miles

12.

You bought one magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Choose the correct "Let" statement with the correct equation that can be used to solve this problem.

a)

Let n = cost of a magazine; Equation: 5 + 4n = 25

b)

Let n = cost of 1 eraser; Equation: 25 + 4n = 5

c)

Let n = cost of 4 erasers; Equation: 5n + 4 = 25

d)

Let n = cost of 1 eraser; Equation: 5 + 4n = 25

13.

The temperature in the ice rink must stay at 40°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3° every hour. Choose the equation that can be used to find the number of hours, h, it will take to get the temperature down to 40°F.

a)

$71-40h=3$

b)

$71-3h=40$

c)

$40-3h=71$

d)

$71+3h=40$

Writing Two-Step Equations

Total questions: 13

Worksheet time: 41mins

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