Level 2 (5.2) Solving Two-Step Equations

Jon has a $21.61 balance on a gift card that can be used to purchase online music. He bought some songs that each cost $1.29. Now he has $10 left. How many songs did Jon purchase? Write and solve a two-step equation.

• 1.29d - 21.61 = 10, d = 24.5 songs

• 21.61 - 1.29d = 10, d = 9 songs

• 21.61 - 1.29d = 10, d = -9 songs

• 1.29d - 21.61 = 10, d = 9 songs

 $\frac{1}{4}b+2=18$  
Solve the equation for b.

• b = 4

• b = 5

• b = 64

• b = 80

Kirsty ran 24 laps in a charity run and then walked 0.2 km to the presentation table. The total distance Kirsty traveled was 29.6 km. What was the distance of each lap? Write and solve a two-step equation.

• 24x + 0.2 = 29.6, x = 1.225 km

• 0.2x + 24 = 29.6, x = 28 km

• 24x + 0.2 = 29.6, x = 28 km

• 0.2x + 24 = 29.6, x = 1.225 km

Solve the equation for x.

5x + 27 = 122

• x = 4.3

• x = 90

• x = 19

• x = 29.8

 $\frac{1}{5}t+2=17$  
Solve the equation for t.

• t = 3

• t = 3.8

• t = 75

• t = 95

Solve the equation for n.
 $\frac{n}{10}+7=10$  

• n = -30

• n = 0.3

• n = 1.7

• n = 30

• n = 170

Solve the equation for x.

2 - 4x = 10

• x = -2

• x = 2

• x = -7

• x = 7

A group of 4 friends went to the movies. In addition to their tickets, they bought a large bag of popcorn to share for $6.25. The total was $44.25. What was the cost of the one movie ticket?

• One movie ticket cost $12.62

• One movie ticket cost $12.625

• One movie ticket cost $9.5

• One movie ticket cost $9.50

• One movie ticket cost $12.63

Use the bar diagram to help you solve the equation 4x - 12 = 16.

• x = 1

• x = 6

• x = 6.4

• x = 7

Which statement best describes the error made in solving this equation?

• They should have canceled out the constant term by subtracting 3.45 from both sides.

• They should have canceled out the coefficient by multiplying 0.5 on both sides

• -1.2 + 3.45 = 2.25, not -2.25

• -1.2 + 3.45 = 4.7, not -2.25