1.3 Solving Linear Equations
Equation – statement in which two expressions are equal.
Linear Equation – is in the form y = mx + b
m is a rate of change, b is an initial value
Solution – a value that makes an equation true.
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When simplifying expressions, use PEMDAS:
P E MD AS
When solving equations, use PEMDAS backwards:
AS MD E P
Solving Equations
1.) One Variable on One Side
2
x + 8 = 16
9
Do order of operations in reverse.
Undo addition and subtraction
Undo multiplication and division
"5 = 6 " x
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2.) Variables on Both Sides
12n ! 3 = 4n + 21
6x " 4 = 2x + 10
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Combine like terms first. Move smaller number of variables
to the other side.
15n " 7 = "2n + 3
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3.) Distributive Property
5( x ! 2) = !4(2 x + 7) + x
Distribute through the parentheses first, then combine
like terms on the right.
6(3 " x) = "5(2x + 9) + 18
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Homework:
Day 1:
Day 2:
Day 3:
Day 3:
p. 22 (17-32)
p. 23 (33-41, 46, 49)
Wkst 1.3 A
Wkst 1.3 B
Review for Test 1.1 – 1.3 :
p. 24 (51 – 78)
p. 58 – 59 (1 – 18)