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Solve Equations and Simplify Expressions with Distributive Property

This lesson focuses on solving multi-step equations using the distributive property and simplifying expressions. Practice problems included.

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Solve Equations and Simplify Expressions with Distributive Property

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  1. Solve each equation. 1. 2a + 3a + 7 = -40 2. 7g + 14 – 5g = -8 Simplify each expression. 3. 2/3(9x – 15) 4. -6(-17 + 3x)

  2. Solving Multi-Step EquationsUsing the Distributive Property 2.3 B

  3. Objective • TSWBAT solve multi-step equations using the distributive property.

  4. Vocabulary • Distributive Property

  5. Solve each equation. -4x + 3(2x – 5) = 31 1. Distribute to undo the parenthesis -4x + 3•2x – 3•5 = 31 -4x + 6x – 15 = 31 2. Combine like terms on the same side of the equal sign. 2x – 15 = 31 3. Undo the number being add/sub. to the variable. + 15 +15 2x = 46 4. Undo the number being multiplied/divided to the variable. 2 2 x = 23

  6. Solve each equation. 1. 6(t + 5) = -36 2. 7 - 2(x + 1) = 8 3. - (b – 5) = 10 4. -w + 4(w + 3) = -12

  7. Find the value of x. 1. 2. 2x + 12 3x 7x + 24 2x – 12 72

  8. Find the value of x. (The sum of the angle measures of a quadrilateral is 360◦.) 3x 2x + 15

  9. Assignment: • Pg. 98-100 #21-29, 58, 61-63

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