1. Simplifying Algebraic Expressions
COURSE 3 LESSON 2-3
Simplify 2h + 4r + 7t + h + 3r + t.
2h + 4r + 7t + h + 3r + t
= 2h + 1h + 4r + 3r + 7t + t Commutative Property of Addition
= (2 + 1)h + (4 + 3)r + (7 + 1)t Distributive Property
= 3h + 7r + 8t Simplify.
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2. Simplifying Algebraic Expressions
COURSE 3 LESSON 2-3
Simplify 4(b – 3) + 2b.
4(b – 3) + 2b = 4b – b Distributive Property
= 4b + 2b – 12 Commutative Property of Addition
= (4 + 2)b – 12 Distributive Property
= 6b – 12 Simplify.
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3. Simplifying Algebraic Expressions
COURSE 3 LESSON 2-3
Simplify 7t – 2(t – 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.
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4. Simplifying Algebraic Expressions
COURSE 3 LESSON 2-3
Simplify each expression.
1. 3h + 7h
2. –13c + c
3. 4y – 7 + 8y
4. 1 – 6(b – 9)
10h
–12c
12y – 7
–6b + 55
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