1. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
(For help, go to Lesson 1–7.)
Multiply.
1. 3(302) 2. 41(7) 3. 9(504)
Simplify each expression.
4. 4(6 + 5x) 5. –8(2y + 1)
6. (5v – 1)5 7. 7(p – 2)
8. (6 – x)9 9. –2(4q – 1)
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2. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
Solutions
1. 3(302) = (7) = (504) = 4536
4. 4(6 + 5x) = 4(6) + 4(5x) = x
5. –8(2y + 1) = (–8)(2y) + (–8)(1) = –16y – 8
6. (5v – 1)5 = (5v)(5) – (1)(5) = 25v – 5
7. 7(p – 2) = 7p – 7(2) = 7p – 14
8. (6 – x)9 = 6(9) – 9x = 54 – 9x
9. –2(4q – 1) = (–2)(4q) – (–2)(1) = –8q + 2
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3. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
Simplify –2g2(3g3 + 6g – 5).
–2g2(3g3 + 6g – 5)
= –2g2(3g3) –2g2(6g) –2g2(–5) Use the Distributive Property.
= –6g2 + 3 – 12g g2 Multiply the coefficients and add the exponents of powers with the same base.
= –6g5 – 12g3 + 10g2 Simplify.
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4. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
1. Simplify –2x2(–3x2 + 2x + 8).
6x4 – 4x3 – 16x2
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