Algebraic Equations in One Variable

Solve the equation:
b - ¼ = 3 ½

• b = 3 ¼

• b = 14

• b = ⅞

• b = 3 ¾

Solve the equation:
⅓s = ⅕

• s = ⅕

• s = ⅗

• s = 5/3

• s = 2/15

Solve the equation:
t ÷ 4 = 16

• t = 4

• t = 12

• t = 20

• t = 64

Solve the equation:
w ÷ 7 = 0.3

• w = 0.043

• w = 7.3

• w = 2.1

• w = .3/7

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

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

Three-fifths of the animals on a family farm are pigs, and there are 12 pigs on the farm. The equation ⅗a = 12 can be used to find the total number of animals a on the farm.  How many animals are on the farm?

• 8 animals

• 20 animals

• 60 animals

• 180 animals