Addition, Subtraction, Multiplication, and Division Equations
Solving Equations Using Addition or Subtraction Objective: Students will solve linear equations...
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Solving Equations UsingAddition or Subtraction
Objective:Students will solve linear equations using addition and subtraction.
8.EE.7 Solve Linear Equations in one variable
Algebra Standards:
Vocabulary
Equivalent equations:
Inverse operations:
Linear equation:
are equations that have the same solution(s).
are operations that undo each other, such asaddition and subtraction.
The exponent of the variable(s) is one.
Equation - a balanced statement of equalitybetween two quantities.
4 + 3 = 7
fulcrum
4 + 3 7=
What is an Equation?
4 + 3 7=- 3 - 3
What is an Equation?
4 4=
Perform the same operation to both sides to keep the equation balanced.
What is an Equation?
x + 6 11=
This property can be used to solve variable equations.
-6 -6
x 5=
x + 6 = 11-6 -6x
Algebraic Approach
What is an Equation?
0
= 5
Operation Original Equation Equivalent Equation
• Add the samenumber to each side
• Subtract the same numberfrom each side
• Simplify one or both sides
Transforming Equations
x – 3 = 5
x + 6 = 10
x = 8 – 3
Add ___
Subtract ___
Simplify
x = ___
x = ___
x = ____
3 8
6 4
5
#1 Add to Each side of an Equation
Solve x – 9 = -20 +9 +9
x 11 - =
0
#2 Simplify first
Solve n – (-8) = -2
-8 -8n 10 -
n +
8= -2
=
0
Check Point: Solve the equation.
1) x – 7 = -15 2) n – (-6) = 4
4) 5 – (-z) = 21 3) -7 = 10 + y
+7 +7x 8 - -6 -6
n 2 -
n +6= 4
-10 -10 y 17 - -5 -5
z 16
5 +z = 21
=
=
= =
0
0
0
0
Check Point: Solve the equation.
5) m – (-3) = 14
-3 -3m 11
m + 3= 14
6) -8 = -b + (-2)+2 +2
-b 6 -
-1 -1-6 = (-1)b
b 6
=
=
=
0
0
1