Free Printable Writing and Solving 2 Step Equations

1.

Which equation matches the following situation? 331 students went on a field trip. Six buses were filled and 7 students traveled in a car. How many students were in each bus?

a)

n= # of students in each bus; 6n + 7 =331

b)

n=# of buses; 6n + 7 =331

c)

n= # of students in each bus; 6 + 7n =331

d)

n= # of students in each bus; 6n - 7 =331

2.

A taxi charges $3, plus $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? (Write an equation first and solve)

a)

18 miles

b)

20 miles

c)

22 miles

3.

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

4.

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

5.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

a)

h = 2(9) + 15

b)

33 = 15h + 2

c)

h = 15(9) + 2

d)

33 = 2h + 15

6.

Twice a number plus 6 is -72

a)

2 + 6x =- 72

b)

2x + 6 = -72

c)

2 + 6 = x

d)

2x² + 6 = 72

7.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

8.

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.

9.

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

10.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

11.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

12.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

13.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

14.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

15.

3f - 12 = -3

a)

3

b)

-3

c)

11

d)

12

16.

2k + 12 = -4

a)

-8

b)

8

c)

-10

d)

4

17.

Solve 2y - 4 = -10

a)

y = -7

b)

y = 3

c)

y = -3

d)

y = 7

18.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

19.

x/5 - 13 = 20

a)

145

b)

165

c)

180

d)

190

20.

$-15=-16+v$

a)

1

b)

-1

c)

31

d)

-31

21.

$2x-5=7$

a)

2

b)

6

c)

1

d)

4

22.

$6b+5=-1$

a)

1

b)

-

c)

11

d)

-66

23.

Kayla is making pancakes for breakfast for her entire family on Christmas. She has added in 4 cups of flour before running out. Write an algebraic equation to determine how many more cups of flour she needs.

a)

$4-x=6$

b)

$4x=6$

c)

$\frac{x}{4}=6$

d)

$x+4=6$

24.

Last Friday Stefan had $35. Over the weekend, his parents gave him some money for washing the car and now he has $47. Write an equation to determine how much his parents paid him for washing the car.

a)

$35-x=47$

b)

$\frac{x}{35}=47$

c)

$35+x=47$

d)

$35x=47$

25.

Elisa rented a bike from Amy's Bikes. It cost $12 plus $6 per hour. If Elisa paid $54, which equation describes the number of hours she rented the bike for?

a)

$12+\frac{x}{6}=54$

b)

$6+12x=54$

c)

$6x-12=54$

d)

$12+6x=54$

26.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

27.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

28.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

29.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

30.

Figure out the solution to this equation: -4x + 1 = 21

a)

x = 120

b)

x = 5

c)

x = 30

d)

x = -5

31.

What is the solution to the following two-step equation: ^x/₂ - 5 = 3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

32.

April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

⁷/₂

b)

2

c)

3

d)

4

33.

Twice a number plus 6 is -72

a)

2 + 6x =- 72

b)

2x + 6 = -72

c)

2 + 6 = x

d)

2x² + 6 = 72

Writing and Solving 2 Step Equations

Total questions: 33

Worksheet time: 2hrs 57mins

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