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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