Grade 7 Two-step Equations Word Problems

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

• 54

• 45

• 56

• 65

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

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

The steps in solving 5b - 6 = 24 are: 

• 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

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles
• 20 miles
• 22 miles

Level 3

Solve for a

• a= -2

• a= -6

• a= 3

• a= 15

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

-4x+1=21

• x=120
• x=5
• x=30
• x=-5

 $3+\frac{1}{4}a=31$  

• a= 28

• a= 112

• a= 7

• a= 67

50 = 28.1 + 0.15a

• a= 150

• a= 146

• a= 6

• a= 155