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**Objective The student will be able to:**

solve equations using multiplication and division. Designed by Skip Tyler, Varina High School

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**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

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**To get the variable by itself, which number needs to be moved?**

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

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1) Solve -5t = 60 -5 -5 t = -12 -5(-12) = 60 Draw “the river” to separate the equation into 2 sides Divide both sides by -5 Simplify Check your answer

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**2) Solve 15 = 6n 6 6 2.5 = n 15 = 6(2.5) Draw “the river”**

6 6 2.5 = n 15 = 6(2.5) Draw “the river” Divide both sides by 6 Simplify Check your answer

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3) Solve -3v = -129 v = -126 v = -43 v = 43 v = 126 Answer Now

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**To get the variable by itself, which number needs to be moved?**

4) Solve 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 .

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**4) Solve 4 · · 4 x = -48 Draw “the river” Multiply both sides by 4**

Simplify Check your answer 4 · · 4 x = -48

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**5) Solve = 18 3 · = 18 · 3 2x = 54 2 2 x = 27 Draw “the river”**

3 · = 18 · 3 2x = 54 x = 27 Draw “the river” Multiply both sides by 3 Simplify Divide both sides by 2 Check your answer

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**6) Which step clears the fraction in**

Multiply by 3 Multiply by 5 Multiply by -12 Multiply by -5 Answer Now

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7) Solve b = -56 b = -14 b = 14 b = 56 Answer Now

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