Solving and Writing Two-Step Equations

3(x - 7) = 21

• x = 0

• x = 9

• x = 14

• x = 7

A cookie jar starts off with 32 cookies in it, and each day 2 cookies are eaten. After a certain number of days, there are 14 cookies left in the jar. Which of the following equations represents the day, d, when there are 14 cookies in the jar?

•  32 – 2d = 14

• 32 + 2d = 14

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• 20 + 0.50x= 35

• 0.50x = 35

• 20x + 0.50 = 35

• 0.50x - 20 = 35

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 35 + 7x = 63

• 7x = 63

• 35 - 7x = 63

• 5x + 7 = 63

• 18.6
• -6.744
• 12.2
• -0.2

Identify the steps to solve for b

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Solve for w

• w = 2

• w = 4

• w = 6

• w = 8

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6

• 331=13x

• 331=6x+7

• 331-7=6x

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

• 54

• 45

• 56

• 65

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290