1.1.4 Writing Two-Step Word Problems

Michael won 38 super bouncy balls playing the bean bag toss at the Franklin County Fair! He gave two bouncy balls to each of the students (x) in his math class. He has two remaining. How many students are in his math class, not counting him?

Which of the following equations could be used to solve this problem?

• $\frac{x}{2}+2=38$

• $38-2x=2$

• $\frac{38}{2}-x=2$

• $2x+2=38$

Tags

CCSS.HSA.CED.A.3

Jade sold half of her paintings and then bought two more. She now has 38 total paintings. How many paintings (x) did she start with?

Which of the following equations can be used to solve this problem? 

•  $38-2x=2$  

•  $38=2x+2$  

•  $\frac{x}{2}+2=38$  

•  $\frac{38}{2}+2=x$  

Tags

CCSS.HSA.CED.A.3

Emily had $50 to spend on two raffle tickets. After purchasing them, she had $38 remaining. How much did each raffle ticket (x) cost?

Choose ALL of the following equations which would solve this problem.

• $2x+50=38$

• $50-2\left(38\right)=x$

• $38+2x=50$

• $50-2x=38$

Tags

CCSS.HSA.CED.A.3

Adam spent a total of $50 for lunches this week. He spent $38 on food and $2 per drink. How many drinks (x) did he buy this week?

Choose ALL of the equations below which can be used to solve this problem.

• $2x+50=38$

• $2x+38=50$

• $38-2x=50$

• $50-2x=38$

Tags

CCSS.HSA.CED.A.3

38 total students went on a field trip! Two vans drove the same number of students and 2 students traveled in a car. How many students (x) were in each van? 

Choose ALL of the equations below which can be used to solve this problem.

•  $\frac{x}{2}+2=38$  

•  $2x+2=38$ 

•  $38-2x=2$ 

•  $38+2=2x$ 

Tags

CCSS.HSA.CED.A.3

Jonah rented a bike from Sayid's Bike Shop. It cost $50 plus $2 for each hour he rented the bike. If Jonah paid a total of $66, how many hours (x) did he rent the bike? 

Choose ALL of the equations below which can be used to solve this problem.

•  $50x+2=66$  

•  $50x-2=66$ 

•  $2x+50=66$ 

•  $66-50=2x$ 

Tags

CCSS.7.EE.B.4A

Karen read this riddle in a book and wanted to solve it:

" 66 reduced by twice my age is 50". 

Which of the equations below would solve this riddle? 

•  $2x-50=66$  

•  $50x-2=66$ 

•  $66-2=50x$ 

•  $66-2x=50$ 

Tags

CCSS.HSA.CED.A.3

Benny deposited half of his birthday money and spent the other $50 on some new shoes. If he has $66 left, how much money (x) did he get for his birthday?

Which of the equations below can be used to solve this problem?

•  $50x+\frac{1}{2}=66$  

•  $2x-50=66$ 

•  $\frac{1}{2}x-50=66$ 

•  $\frac{1}{2}x+50=66$ 

Tags

CCSS.HSA.CED.A.3