Algebraic Properties in Word Problems

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

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

• 3

• 4

• 5

• 6

Sarah has $40 in her lunch account and pays $2 each day to eat lunch.
Which expression below could be used to represent the total amount of money in Sarah's account after x days?

• 40 + 2x

• 40 - 2x

• 2 + 40x

• 2 - 40x

An ice cream shop charges $3.39 for a dish of ice cream. A customer can also order toppings for $0.59 each. If x represents the number of toppings, which expression can be used to determine the total charge, in dollars, for a dish of ice cream with x toppings?

• 339x + 0.59

• 3.98 + x

• 3.39 + 0.59x

• 3.98x

Sheryl earns money for college by walking dogs and by mowing lawns. She earns $3  for each dog she walks and $25 for each lawn she mows. Which expression can be used to determine the amount of money, in dollars, Sheryl earns from walking w dogs and mowing m lawns?

• 3w + 25m

• 28(m + w)

• 3w + 25

• 75(w + m)

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group.

• 27 + n

• 27n

• 27/n

• 27 - n

A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

• 40 - 35m

• 40m - 35

• 40m + 35

• 40 + 35

Write an expression for: the sum of a number and 9

• n - 9

• n * 9

• n + 9

• n/9