 # Use the Distributive Property to: 1) simplify expressions 2) Solve equations.

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Use the Distributive Property to: 1) simplify expressions 2) Solve equations

Solve each equation. Check your solution. 1. 5x – 3 = –18 2. ` 3. –2N + 4 = –12

 Term: A number or the product of a number and a variable.  Constant: A term with no variable.  Coefficient: The number multiplied by a variable.

1. Distribute the front coefficient to remove the parentheses. 2. Undo addition or subtraction using inverse operations. 3. Undo multiplication or division using inverse operations. 4. Check your answer.

Use the Distributive Property to simplify each expression. 7(x + 8) 7(x) + 7(8) 7x + 56 –3(y – 2) –3(y) – (–3)(2) –3y –(–6) –3y + 6

Solve the equation for the variable. Check your solution.

Use the Distributive Property to simplify the expression.

Use the Distributive Property to simplify each expression. 1. 3(x – 5) 2. –2(6x – 1) Solve each equation. Show your work and check your solution. 3. 8(x –1) = 16 4. –20 = (6x + 2)

What steps would you take to solve the equation 4(x + 3) = – 8?

–5(2m – 1) = 25 –10m + 5 = 25 – 5 –5 –10m = 20 –10 –10 m = –2 –5(2(–2) – 1) ≟ 25 –5(–4 – 1) ≟ 25 –5(–5) ≟ 25 25 = 25 Solve the equation for the variable. Check your solution.

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