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Simplifying Algebraic Expressions

= 2 h + 1 h + 4 r + 3 r + 7 t + t Commutative Property of Addition . = (2 + 1) h + (4 + 3) r + (7 + 1) t Distributive Property. = 3 h + 7 r + 8 t Simplify. COURSE 3 LESSON 2-3. Simplifying Algebraic Expressions. Simplify 2 h + 4 r + 7 t + h + 3 r + t . .

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Simplifying Algebraic Expressions

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  1. = 2h + 1h + 4r + 3r + 7t + tCommutative Property of Addition = (2 + 1)h + (4 + 3)r + (7 + 1)tDistributive Property = 3h + 7r + 8tSimplify. COURSE 3 LESSON 2-3 Simplifying Algebraic Expressions Simplify 2h + 4r + 7t + h + 3r + t. 2h+ 4r + 7t + h + 3r + t 2-3

  2. 4(b – 3) + 2b = 4b – 12 + 2bDistributive Property = 4b + 2b – 12 Commutative Property of Addition = (4 + 2)b – 12 Distributive Property = 6b – 12 Simplify. COURSE 3 LESSON 2-3 Simplifying Algebraic Expressions Simplify 4(b – 3) + 2b. 2-3

  3. 7t – 2(t – 3) = 7t+ (–2)(t – 3)Add the opposite of 2(t – 3). = 7t + [–2t – (–6)] Distributive Property = 7t + (–2t) + 6 Simplify. = [7 + (–2)]t + 6 Distributive Property = 5t + 6 Simplify. COURSE 3 LESSON 2-3 Simplifying Algebraic Expressions Simplify 7t – 2(t – 3). 2-3

  4. COURSE 3 LESSON 2-3 Simplifying Algebraic Expressions Simplify each expression. 1. 3h + 7h 2. –13c + c 3. 4y – 7 + 8y 4. 1 – 6(b – 9) 10h –12c 12y – 7 –6b + 55 2-3

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