Algebraic Equations Story Problems

Aaron wants to buy a bicycle that costs $128. So far, he has saved $56. The equation
a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. What is the solution of the equation?

• a=64

• a=72

• a=132

• a=184

Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.

• 8.2=4.5n

• n+4.5=8.2

• 8.2n=4.5

• n-4.5=8.2

Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58;  x = 82

• yes

• no

Solve the equation:
a + 2.4 = 7.8

• a = 10.2

• a = 5.4

• a = 17.76

• a = 3.25

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?

• s + 7,500 = 18,000

• s - 7,500 = 18,000

• s + 18,000 = 7,500

• s - 18,000 = 7,500

Ms. McNeil buys 2.4 gallons of gasoline.
The total cost is $7.56. The equation
2.4p = 7.56 can be used to find the price p in dollars of the one gallon of gasoline. What is the price of one gallon of gasoline?

• $1.81

• $2.40

• $3.15

• $5.16

Crystal is picking blueberries. So far, she has filled ⅔ of her basket, and the blueberries weigh ¾ pound. The equation
⅔w=¾ can be used to estimate the weight w in pounds of the blueberries when the basket is full. About how much will the blueberries in Crystal's basket weigh when it is full?

• ⅜ pound

• ½ pound

• 1 ⅛ pound

• 2 ¼ pound

After driving 25 miles, Kevin has traveled ⅔  of the distance from his house to his friend's house. Use the equation 25=⅔d to find the total distance d in miles to his friend's house.

• 37.5 miles

• 2/75 miles

• 25 2/3 miles

• 50 miles

Alyssa's cat weighs 12 pounds, which is ⅜ 0f the weight of her dog. Use the equation
⅜d=12 to find the weight of Alyssa's dog.

• 5 ¾ pounds

• 32 pounds

• 96 pounds

• 36 pounds

Randall bought 16 baseball cards from Max, which is ⅖ of Max's collection. Use the equation 16 = ⅖c to find the number of cards that were in Max's collection.

• 6 cards

• 40 cards

• 15 cards

• 32 cards