Algebraic Equations

1 + 7x + 6x = 53

• 3

• 4

• 5

• 6

Write an equation for the word sentence:
Three times the cost is $24.

• 3c=24

• 24c=3

• c+3=24

• c-3=24

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

• equation

• inverse operation

• solution of an equation

• expression

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

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:
3x = 27

• x = 9

• x = 24

• x = 81

• x = 30

Solve the equation:
⅓s = ⅕

• s = ⅕

• s = ⅗

• s = 5/3

• s = 2/15