Algebraic Equations Word Problems

WRITE AN EQUATION for a field trip: 4 students rode in cars, and the rest filled nine buses. How many students were on each bus if 472 students were on the trip? (a)  

• 4+9x=472
• 4x=472
• 9x=472
• 4+x=472

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

• 5 + 4x = 29
• 5 + x = 29
• 5x = 29
• 29 - 5 = -4x

WRITE AN EQUATION: After paying $5.12 for a salad, Norachai has $27.10 left. How much money did he have before buying the salad? (a)  

• n - $5.12 = $27.10
• n + $5.12 = $27.10
• n - $5.12 = -$27.10
• $5.12 - n = $27.10

WRITE AN EQUATION: Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year?  (a)  

• 3f = 63
• 63 - 3 = f
• 63/3 = f
• 3 + f = 63

WRITE AN EQUATION: Mr. Elsaad rented a boat. He was charged a deposit fee of 20 plus $10 for each hour of use to rent a paddle boat. His total cost was $50. How many hours did he rent the boat for?  (a)  

• 50 =  10h+ 20
• 50 = 2h + 20
• 50 = 20h + 10
• 20 = 10h + 50

WRITE AN EQUATION: Elaina and Sophia sold a total of 32 boxes of popcorn for a school fundraiser. Elaina sold 15 boxes of popcorn. Which equation represents how many boxes of popcorn Sophia sold? (a)  

• 15 + x = 32
• x = 15 – 32
• 32 + 15 = x
• 32 + x = 15

WRITE AN EQUATION: A toy company spends $1500 daily for factory expenses plus $8 to make each teddy bear.  They sell 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? (a)  

• 1500 + 8t = 12t
• 1500 + 8t = 12
• 12 + 8t = 1500
• 8t = 12t + 1500

WRITE AN EQUATION: 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. (a)  

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

WRITE AN EQUATION: A taxi charges $3, plus $1.50 for each km travelled.  Ms. Szechysnki rode in the cab from her home to the airport and was charged $30. ​ (a)  

• 3 + 1.50k = 30
• 20 = 30 - 3k
• 30 + 3 = 1.50k