Solving Algebraic Equations Word Problems

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

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

Sarojini 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

Tags

CCSS.HSA.CED.A.3

WRITE AN EQUATION Harper had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

Tags

CCSS.HSA.CED.A.3

The larger of two numbers is twice the smaller number. If 12 is subtracted from the larger

number, the result is 7 more than the smaller number. Find the numbers.

Tags

CCSS.8.EE.C.8C

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

Five more than half a number is six. Find the number.

• -2

• 2

• 1

• -1

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CCSS.7.EE.B.4A

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

Tags

8.17

The larger of two numbers is nine less than four times the smaller number. If the sum of the two

numbers is 76, find both numbers.

Tags

CCSS.8.EE.C.8C

The larger of two numbers is fifteen more than the smaller number. If the sum of the numbers is 91, find the two numbers. Write your answer as two numbers separated by a comma.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6