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Section 3.1& Section 3.2
Solve equations by using addition, subtraction,
multiplication and division
Recall
Mathematics
Language
Digits
Alphabet
Numbers
Words
Expressions (2 types)
Phrases
Equations and Inequalities
Sentences
Numeric Expressions: Numbers combined with operations
example: 23 + 15 ÷ |7 - 9²|
Algebraic Expressions: Variables combined with numbers and
operations
example: 2x – 3y³ ÷ (-16)
Equations: expression = expression
Expressions
Evaluate expressions using the order of operations
Example: Evaluate each expression. Let x = 7 and y = -2
Numeric Expression
(5 + 2³) – (-3)(2 + 4)
Algebraic Expression
(5x – 6y) – (x + 6)
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve 2x – 7 = 13
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a. s + 5.3 = -9.7
b. -20 = -38 + b
c.
5
1
x
2
2
Practice: P115 Try this after Example 1
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a. t – 9.3 = 4.1
b. w 
1
1

3
3
c. -53 = n -25
Practice: P116 Try this after Example 3
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a. 3 – x = 34
Practice: 5 – x = 17
Homework: 118-119 #5-17o
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a. -5t = -15
b. 4y = 9
c. 8p = -4.8
Practice: P123 Try this after Example 1
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a.
n
 1.2
7
n
b. 5 
6
c.
n
 30
3
Practice: P124 Try this after Example 3
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
9
a.  z  10
4
1
b. 6 z 
4
Practice: P125 Try this after Example 4
3c
c.   15
4
Homework: P126 #7-17o
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a. 21 + 6x = -3
b. 2x – 7 = 13
Practice: P130 Try this after Example 2
Equations
Solve using the order of operations in reverse and inverse
operations
Example: Solve
a.
x
26
5
b.
x
6 2
10
Practice: P131 Try this after Example 3
Homework: P132 #6-11
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