AlgebraAlgebra

3.2 Solving Equations Using 3.2 Solving Equations Using Multiplication and DivisionMultiplication and Division

Solve for xSolve for x

3 2

3 23

3 32

3

x

x Divideby

x

Solve for xSolve for x

3 2

3 23

3 32

3

x

x Divideby

x

Solve for xSolve for x

3 2

3 23

3 32

3

x

x Divideby

x

Solve for xSolve for x

2566 6

25 61 6 1

150

x

xMultiply by

x

Solve for xSolve for x

714

88 7 8 814

7 8 7 7

16

16

x

x Multiply by

x

x

Working with mixed Working with mixed numbersnumbers

1 25

3 31 17

3 33 1 17 3

31 3 3 1

17

x

x Convert mixed number to improper

x Multiply by

x

Try theseTry these - 3/8 x = -6- 3/8 x = -6

x = 16x = 16

5/6 a = -105/6 a = -10

x = -12x = -12

¾ n = 7 ½¾ n = 7 ½

n = 10n = 10

Translating Phrases Into Translating Phrases Into EquationsEquations

Write the verbal sentence as an equation.Write the verbal sentence as an equation.

The sum of 12 and five times a number is 43The sum of 12 and five times a number is 43

12 + 5x = 4312 + 5x = 43 Five more than two thirds of a number is 11Five more than two thirds of a number is 11

2/3 x + 5 = 112/3 x + 5 = 11 Twelve less than four fifths of a number is 20Twelve less than four fifths of a number is 20

4/5 x - 12 = 20 4/5 x - 12 = 20

A Few More…A Few More…Write the verbal sentence as an equation.Write the verbal sentence as an equation.

Twelve less than seven times a number is Twelve less than seven times a number is four times the numberfour times the number

7x - 12 = 4x7x - 12 = 4x

Four is two fifths of the quantity x Four is two fifths of the quantity x decreased by 15decreased by 15

4 = 2/5 (x – 15)4 = 2/5 (x – 15)

Three more than 5/6 of a number is 4 less Three more than 5/6 of a number is 4 less than the number. than the number.

5/6 x + 3 = x - 45/6 x + 3 = x - 4

Simplify the ExpressionSimplify the Expression

4y – 9 + 3y4y – 9 + 3y7y - 97y - 9

15x – 8 – 18x + 1415x – 8 – 18x + 14-3x + 6-3x + 6

5(y + 3) + 7y5(y + 3) + 7y 12y + 1512y + 15 12x – 2(x + 3)12x – 2(x + 3)

10x - 610x - 6

HomeworkHomework

P. 142 #24-48P. 142 #24-48

#66-75#66-75