How to Solve Algebraic Word Problems

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

• 3

• 4

• 5

• 6

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

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

WRITE AN EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?

• 5 + x = 29

• -5 - 4x = -29

• 5x = 29

• 29 - 5 = -4x

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

Which equation below will solve this word problem? Let m stand for miles driven. A car rental company charges a $50 flat fee for renting a car plus an additional $0.25 per mile driven. If a customer rents a car and drives it for 180 miles, how much will the total rental cost be?

• $50m + .25 = 180

• $50 + .25m = 180

• $50m + .25m = 180

• $50 + .25 = 180

Alice has 500 dollars. She buys 3 books that cost 45 dollars each. How much money does Alice have left?

Which equation should you use to solve this word problem?

• $45 - ($500 x 3)=

• $500 - ($45 x 3) =

• $500 + ($45 x 3) =

• ($45 x 3) + $500 =

Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?

• 3 years old

• 7 years old

• 57 years old

• 63 years old

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

Aliyah 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