Algebraic Word Problems

Find two consecutive numbers whose sum is 115.

WHICH EQUATION WILL FIND THE FIRST INTEGER?

• x+1=115

• x+x+1=115

• x-1=115

• 2x-1=115

Lynn and Bill sold boxes of fruit for a band fundraiser. Lynn sold seven less than twice the number of boxes that Bill sold. In all, the two band students sold 137 boxes of fruit. How many boxes of fruit did Lynn sell?

• Lynn sold 100 boxes of fruit.

• Lynn sold 37 boxes of fruit.

• Lynn sold 48 boxes of fruit.

• Lynn sold 89 boxes of fruit.

Find two consecutive EVEN numbers whose sum is 126.

WHICH EQUATION WILL FIND THE FIRST INTEGER?

• x+x+2=126

• x+2=126

• 3x+2=126

• x+2=126=126

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

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

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

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

• 3

• 4

• 5

• 6

Ty weighed 230 pounds. He went on a diet and his weight was decreased by 18 pounds. He started exercising and his weight decreased by another 12 pounds. How much does he weigh?

• 212

• 218

• 200

• 194

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