Free Printable Write and Solve Two-Step Equations

1.

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.

2.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x + 6 = 331

b)

13x = 331

c)

6x + 7 = 331

d)

331 - 7 = 6x

3.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

4.

Solve for y.

a)

y = -5.6

b)

y = 5.6

c)

y = -8.75

d)

y = 8.75

5.

Solve for x.

2(x + 15) = -6

a)

x = -10.5

b)

x = -18

c)

x = 18

d)

x = 10.5

6.

-9r + 12 = -24

a)

r = 12

b)

r = 3

c)

r = 4

d)

r = 2

7.

Solve

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

8.

Solve.

3x - 7 = 32

a)

x = 13

b)

x = 3

c)

x = 12

d)

x = 7

9.

$\frac{x}{3}-8=4$

a)

36

b)

12

c)

38

d)

24

10.

Solve.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

11.

Solve.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

12.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

13.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

14.

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

15.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

16.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

17.

Solve 7y - 4 = -11

a)

y = 1

b)

y = 2

c)

y = -1

d)

y = -2

18.

Solve the equation.

20c + 25 = 175

(a)

19.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

20.

Anthony cooks 6 servings of a meal containing pasta and meat. Each serving has 3 ounces of meat and an equal amount of pasta. The recipe makes a total of 42 ounces. Determine how many ounces of pasta are in one serving.

a)

6(3 + p) = 42; 4 oz

b)

6(3 + p) = 42; 9 oz

c)

6(4 + p) = 42; 7 oz

d)

6(3 + p) = 42; 12 oz

21.

Robin prints 10 similar wall art designs. Each design has 5 red circles and an equal number of blue circles. She prints 90 circles in all. Determine how many blue circles are in one design.

a)

10(5 + b) = 90; 6 blue circles

b)

10(5 + b) = 90; 5 blue circles

c)

10(5 + b) = 90; 4 blue circles

d)

10(5 + b) = 90; 7 blue circles

22.

Claudia organizes a team carpool with 5 vans. Each van carries 2 adults and an equal number of children. There are 30 people in the carpool altogether. Determine how many children are in each van.

(a)

23.

Melinda has 4 boxes of colored pens. After she gives 8 pens from each box to her friends at school, the total number of pens she has left is 32. Determine the original number of pens in each box.

a)

4(t– 8) = 32; 17 pens

b)

4(t– 8) = 32; 15 pens

c)

4(t– 8) = 32; 14 pens

d)

4(t– 8) = 32; 16 pens

24.

Gustavo serves 6 identical plates of fruit to his friends. They each eat 4 pieces of fruit. Afterward, 48 pieces of fruit are left. Determine how many pieces of fruit were originally on each plate. Write the equation (let f be the unknown quantity).

(a)

25.

Ray buys 16 bolts from a hardware store. He gets a discount of $0.25 per bolt. The total cost for the bolts is $4.00. Determine the original price of one bolt.

a)

16(s + 0.25) = 4.00; $0.50

b)

16(s – 0.25) = 4.00; $0.50

c)

16(s + 0.25) = 4.00; $0.60

d)

16(s – 0.25) = 4.00; $0.70

Write and Solve Two-Step Equations

Total questions: 25

Worksheet time: 1hrs 15mins

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