Modeling Word Problems with Two-Step Equations

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. 
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?

• x = 30

• x = 25

• x = 35

• x = 31

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.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Scott works on cars. He charges $35 for each car plus $7 per hour.
The correct equation was 7x + 35 = 63.
So, how many hours did he work on Kylie's car if her bill was $63?

• x = 4

• x = 5

• x = 3

• x = 4.5

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.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Answer the following question:

• $56.60

• $6.50

• $12.00

• $5.00

Answer the following question:

• 6 tickets

• 16 tickets

• 11.6 tickets

• 7 tickets

An art teacher had 237 colored pencils left over from last year. This year, he bought 26 boxes of colored pencils that had 16 pencils in each. He also bought 15 boxes that had 54 pencils in each. Finally, when he was sorting the pencils, 19 rolled under the cabinet and were lost. Solve the following equation to determine c, the number of colored pencils the art teacher has now. c = 237 + [ (26 ∙ 16) + (15 ∙ 54) ] – 19

• 2,179

• 187,652

• 1,444

• 183,095

An art teacher had 237 colored pencils left over from last year. This year, he bought 26 boxes of colored pencils that had 16 pencils in each. He also bought 15 boxes that had 54 pencils in each. Finally, when he was sorting the pencils, 19 rolled under the cabinet and were lost.

Solve the following equation to determine c, the number of colored pencils the art teacher has now.

c = 237 + [ (26 ∙ 16) + (15 ∙ 54) ] – 19

• 2,179

• 187,652

• 1,444

• 183,095

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290