Interpreting Algebraic Equations

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

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

A(n) ______________ is a statement that two mathematical expression are equal

• equation

• inverse operation

• solution of an equation

• expression

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

• yes

• no

Determine whether the given value of the variable is a solution of the equation.
⅓c = ⅜; c = ¾

• no

• yes

Solve the equation:
a + 2.4 = 7.8

• a = 10.2

• a = 5.4

• a = 17.76

• a = 3.25

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