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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) SOLVING MULTI-STEP EQUATIONS USING THE DISTRIBUTIVE PROPERTY 2.3 B OBJECTIVE TSWBAT solve multi-step equations using the distributive property. VOCABULARY Distributive Property Solve each equation. -4x + 3(2x – 5) = 31 -4x + 3•2x – 3•5 = 31 1. Distribute to undo the parenthesis -4x + 6x – 15 = 31 2. Combine like terms on the same side of the equal sign. 2x – 15 = 31 + 15 +15 3. Undo the number being add/sub. to the variable. 2x = 46 2 2 4. Undo the number being multiplied/divided to the variable. x = 23 Solve each equation. 1. 6(t + 5) = -36 3. - (b – 5) = 10 2. 7 - 2(x + 1) = 8 4. -w + 4(w + 3) = -12 Find the value of x. 1. 2x + 12 3x 2x – 12 2. 72 7x + 24 Find the value of x. (The sum of the angle measures of a quadrilateral is 360◦.) 3x 2x + 15 ASSIGNMENT: Pg. 98-100 #21-29, 58, 61-63