2-2 Solving One-Step Equations Goals: Solve linear equations using addition and subtraction. Solve linear equations using multiplication and division. Eligible Content: A1.1.2.1.1 / A1.1.2.1.2 / A1.1.2.1.3

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

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

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.

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.

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

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

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

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

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

Multiplication and Division Examples y = 150 x = 50

Examples x = -15 x = 12

Solve 32 = –14c. A. –3 B. 46 C. 18 D.

Practice Page 86 #1-15

Homework Page 86 #18-40 even