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Objective The student will be able to: solve equations using multiplication and division. Designed by Skip Tyler, Varina High School Goal of solving equations: To get the variable by itself!!! To do this you should always remove the number or numbers on the side with the variable by using inverse or opposite operations! Designed by Skip Tyler, Varina High School 1) Solve. -5t = 60 To get the variable by itself, which number needs to be moved? -5 To move the -5, you have to do the opposite operation. What operation will we use? The variable “t” is being multiplied so the opposite operation is ___________. division 1. 2. 3. 4. 1) Solve -5t = 60 -5 -5 Draw “the river” to t = -12 separate the equation into 2 sides Divide both sides by -5 Simplify Check your answer -5(-12) = 60 1. 2. 3. 4. 2) Solve 15 = 6n 6 6 Draw “the river” Divide both sides by 6 2.5 = n Simplify Check your answer 15 = 6(2.5) 3) Solve -3v = -129 1. 2. 3. 4. v = -126 v = -43 v = 43 v = 126 Answer Now x 12 4) Solve 4 To get the variable by itself, which number needs to be moved? 4 To move the 4, you have to do the opposite operation. What operation will we use? The variable “x” is being divided so the opposite operation is ___________. multiplication . 1. 2. 3. 4. x 4) Solve 12 4 Draw “the river” x Multiply both sides by 4 4 · 12 · 4 Simplify 4 Check your answer x = -48 48 12 4 1. 2. 3. 4. 5. 6. 2x 5) Solve = 18 3 2x 3· = 18 · 3 Draw “the river” 3 Multiply both sides by 3 Simplify Divide both sides by 2 Simplify Check your answer 2x = 54 2 2 x = 27 2(27) 18 3 6) Which step clears the fraction in 3b 12 5 1. 2. 3. 4. Multiply by 3 Multiply by 5 Multiply by -12 Multiply by -5 Answer Now 7) Solve 1. 2. 3. 4. b = -56 b = -14 b = 14 b = 56 Answer Now 4b 8 7