Download Solving Multi-Step Equations

SOLVING EQUATIONS
Verbal expressions
MULTIPLICATION REVIEW
THE PRODUCT OF
TIMES
TWICE (times 2)
OF
MULTIPLIED BY
SOLVING EQUATIONS
Verbal expressions
DIVISION REVIEW
THE QUOTIENT OF
DIVIDED BY
DIVIDED INTO
SOLVING EQUATIONS
PRACTICE
Six times a number is twelve.
6
SOLVING EQUATIONS
PRACTICE
Six times a number is twelve.
6
∙
SOLVING EQUATIONS
PRACTICE
Six times a number is twelve.
6
∙
x
SOLVING EQUATIONS
PRACTICE
Six times a number is twelve.
6
∙
x
=
SOLVING EQUATIONS
PRACTICE
Six times a number is twelve.
6
∙
x = 12
6x = 12
SOLVING EQUATIONS
PRACTICE
Two less than a number is fourteen.
2
SOLVING EQUATIONS
PRACTICE
Two less than a number is fourteen.
–
2
SOLVING EQUATIONS
PRACTICE
Two less than a number is fourteen.
x
–
2
SOLVING EQUATIONS
PRACTICE
Two less than a number is fourteen.
x
–
2
=
SOLVING EQUATIONS
PRACTICE
Two less than a number is fourteen.
x
–
2
= 14
SOLVING EQUATIONS
PRACTICE
Four less than twice a number is eight.
2x - 4 = 8
SOLVING EQUATIONS
PRACTICE
Five plus one-half of a number is sixty.
5 + ½ y = 60
SOLVING EQUATIONS
PRACTICE
The square of a number minus 3 is the same as two.
n2 - 3 = 2
SOLVING EQUATIONS
PRACTICE
The product of five and the sum of a number and
two is equal to thirty-four.
5 ( x + 2 ) = 34
SOLVING EQUATIONS
Using Multiplication and Division
MULTIPLICATION PROPERTY OF EQUALITY
For any numbers a, b, and c,
if a = b, then ac = bc
20 = 20
20(5) = 20(5)
100 = 100
PROBLEM SOLVING
FIVE STEPS TO PROBLEM SOLVING
SAMPLE PROBLEM
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.
PROBLEM SOLVING
SAMPLE PROBLEM
Solve: 3x – 2 = 7
+2
+2
Solve: 3x = 9
3
3
x=3
Check: 3(3) – 2 = 7 True
PROBLEM SOLVING
SAMPLE PROBLEM
Solve: 5 – 3x = 17
-5
-5
Solve: -3x = 12
-3
-3
x = -4
Check: 5 – 3(-4) = 17 True
PROBLEM SOLVING
SAMPLE PROBLEM
TRY THIS ONE
x
5  2
3 -5 -5
x
(3)  3(3)
3
x  9
Check
9
5  2
3
 3  5  2☺
PROBLEM SOLVING
SAMPLE PROBLEM
TRY ANOTHER ONE
x

4
(5)
 3 (5)
5
x  4  15
+4
+4
x  11
Check
 11  4
 3
5
 15
 3 
5
PROBLEM SOLVING
SAMPLE PROBLEM
ONE MORE
m
1  0
 7 +1 +1
m
(-7)
 1(-7)
7
m  7
Check
7
1  0
7
1 1  0
