THE PRODUCT OF

TIMES

MULTIPLIED BY

TWICE (times 2)

MULTIPLICATION REVIEW

OF

SOLVING EQUATIONS

Verbal expressions

SOLVING EQUATIONS

Verbal expressions

THE QUOTIENT OF

DIVIDED BY

DIVIDED INTO

DIVISION REVIEW

Six times a number is twelve.

6

PRACTICE

SOLVING EQUATIONS

Six times a number is twelve.

6

PRACTICE

∙

SOLVING EQUATIONS

Six times a number is twelve.

6

PRACTICE

∙ x

SOLVING EQUATIONS

Six times a number is twelve.

6

PRACTICE

∙ x =

SOLVING EQUATIONS

Six times a number is twelve.

6

PRACTICE

∙ x = 12

6x = 12

SOLVING EQUATIONS

Two less than a number is fourteen.

2

PRACTICE

SOLVING EQUATIONS

Two less than a number is fourteen.

2

PRACTICE

SOLVING EQUATIONS

–

Two less than a number is fourteen.

2

PRACTICE

SOLVING EQUATIONS

–x

Two less than a number is fourteen.

2

PRACTICE

SOLVING EQUATIONS

–x =

Two less than a number is fourteen.

2

PRACTICE

SOLVING EQUATIONS

–x = 14

Four less than twice a number is eight.

4

PRACTICE

-2x = 8

SOLVING EQUATIONS

Five plus one-half of a number is sixty.

½ y

PRACTICE

+5 = 60

SOLVING EQUATIONS

The square of a number minus 3 is the same as two.

3

PRACTICE

-n2 = 2

SOLVING EQUATIONS

The product of five and the sum of a number and two is equal to thirty-four.

+

PRACTICE

(5 x 2 ) = 34

SOLVING EQUATIONS

SOLVING EQUATIONSUsing Multiplication and Division

MULTIPLICATION PROPERTY OF EQUALITY

For any numbers a, b, and c,if a = b, then ac = bc

20 = 2020(5) = 20(5)

100 = 100

PROBLEM SOLVING

SAMPLE PROBLEMFIVE STEPS TO PROBLEM SOLVING

Eight more than the product of six and a number is twenty. Find the number.

Define a variable x = the number

Write an equation 6x + 8 = 20

Solve the equation x = 2

Answer the problem The number is 2

Check your answer 8 more than 6(2) is 20.

SAMPLE PROBLEM

Solve: 3x – 2 = 7+2 +2

x = 3

Check: 3(3) – 2 = 7 True

PROBLEM SOLVING

Solve: 3x = 93 3

SAMPLE PROBLEM

Solve: 5 – 3x = 17-5 -5

x = - 4

Check: 5 – 3(-4) = 17 True

PROBLEM SOLVING

Solve: -3x = 12-3 -3

SAMPLE PROBLEM

TRY THIS ONE

PROBLEM SOLVING

253

x

-5 -5

33

x

(3) (3)

9x

Check

253

9

253 ☺

SAMPLE PROBLEM

TRY ANOTHER ONE

PROBLEM SOLVING

35

4

x(5) (5)

154 x+4 +4

11x

Check

35

411

35

15

SAMPLE PROBLEM

ONE MORE

PROBLEM SOLVING

017

m

+1 +1

17

m

(-7) (-7)

7m

Check

017

7

011