Equations and Inequalities

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Presentation transcript:

Equations and Inequalities

Unit 8 – Solving Multiplication and Division Equations Algebraically

Vocabulary Reciprocal – two numbers whose product is equal to 1. Example: 3 4 𝑎𝑛𝑑 4 3

Solving Multiplication Equations Algebraically - Example Solve algebraically for x , then check. Solve 12x = 48 12 12 x = 4 Check 12x = 48 12(4) = 48 48 = 48

Solving Multiplication Equations Algebraically - Example Solve algebraically for x , then check. Solve 15 = 2.5y 2.5 2.5 y = 6 Check 15 = 2.5y 15 = 2.5(6) 15 = 15

Solving Division Equations Algebraically - Example Solve algebraically for x , then check. Solve 1 5 z = 3 5 1 1 5 z = 3 5 1 z = 15 To get rid of the fraction, multiply both sides by the reciprocal. Anytime you multiply a number by its reciprocal the answer is one. Check 1 5 z = 3 1 5 (15) = 3 15 = 15

Solving Division Equations Algebraically - Example Solve algebraically for x , then check. Solve 𝑟 6 = 11 6 1 𝑟 6 = 11 6 1 r = 66 Check 𝑟 6 = 11 (66) 6 = 11 11 = 11

Solving Multiplication & Division Equations Algebraically - Practice Solve algebraically, then check. 5y = 75 y = 15 4z = 6.8 z = 1.7 3. 1 2 t = 1 4 t = 1 2 9 10 = 5 6 u u = 1 2 25