Algebra 2 Word Problems Algebraic Equations

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? 

• 3f = 63

• 63 - 3 = f

• 63/3 = f

• 3 + f = 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

After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

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

• 3

• 4

• 5

• 6

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?

• x = 15 – 32

• 32 + 15 = x

• 32 + x = 15

• 15 + x = 32

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

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?

• 4 boxes

• 5 boxes

• 6 boxes

• 7 boxes

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