1. 2-2 Solving One-Step Equations
Goals:
Solve linear equations using addition and subtraction.
Solve linear equations using multiplication and division.
Eligible Content:
A / A / A

2. Vocabulary
Linear Equation – variable is raised to the first power and is not inside a square root, absolute value or in the denominator of a fraction.
Examples: 5 + 2x = 15
16 – 3x = 19

3. Vocabulary
Equivalent Equations – equations that have the same solution.
Inverse Operations – operations that undo each other.
Addition and Subtraction
Multiplication and Division

4. Vocabulary
Isolate the variable – a process used to solve an equation that gets the variable alone.
Reciprocal – the flip of a fraction
EXAMPLE: 2 and ½ are reciprocals
When you are dividing by a fraction, you have to multiply by the reciprocal.

5. Vocabulary
Addition Property of Equality – If the same value is added to both sides of an equation, the two sides remain equal.
Multiplication Property of Equality – If the same number is multiplied by both sides of an equation, the two sides remain equal.

6. Addition and Subtraction Examples
Solve each equation:
x + 6 = 10
x – 4 = 8
-3 + x = 10
7 + x = 16
x = 4 x = 12 x = 13 x = 9

7. Addition and Subtraction Examples
8 – (-y) = 15
n = -12 x = 1 y = 7

8. Solve a – 24 = 16. Then check your solution.
B. –8
C. 8
D. –40

9. Solve 129 + k = –42. Then check your solution.
A. 87
B. –171
C. 171
D. –87

10. Multiplication and Division Examples
x = 2 x = -4 x = 4

11. Multiplication and Division Examples
y = 150 x = 50

12. Examples
x = -15 x = 12

13. Solve 32 = –14c.
A. –3
B. 46
C. 18 D.

14. Practice
Page 86 #1-15

15. Homework
Page 86 #18-40 even