1. The Distributive Property
ALGEBRA 1 LESSON 1-7
(For help, go to Lessons 1-2 and 1-6.)
Use the order of operations to simplify each expression.
1. 3(4 + 7) 2. –2(5 + 6) 3. –1(–9 + 8)
4. –0.5(8 – 6) t(10 – 4) 6. m(–3 – 1) 1 2
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2. The Distributive Property
ALGEBRA 1 LESSON 1-7
( )
1. 3(4 + 7) = 3(11) = 33
2. –2(5 + 6) = –2(11) = –22
3. –1(–9 + 8) = –1(–1) = 1
4. –0.5(8 – 6) = –0.5(2) = –1
t(10 – 4) = t(6) = (6)t = • 6 t = 3t
6. m(–3 – 1) = m(–4) = –4m 1 2
Solutions
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3. The Distributive Property
ALGEBRA 1 LESSON 1-7
Use the Distributive Property to simplify 26(98).
26(98) = 26(100 – 2) Rewrite 98 as 100 – 2.
= 26(100) – 26(2) Use the Distributive Property.
= 2600 – 52 Simplify.
= 2548
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4. The Distributive Property
ALGEBRA 1 LESSON 1-7
Find the total cost of 4 CDs that cost $12.99 each.
4(12.99) = 4(13 – 0.01) Rewrite as 13 – 0.01.
= 4(13) – 4(0.01) Use the Distributive Property.
= 52 – 0.04 Simplify.
= 51.96
The total cost of 4 CDs is $51.96.
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5. The Distributive Property
ALGEBRA 1 LESSON 1-7
Simplify 3(4m – 7).
3(4m – 7) = 3(4m) – 3(7) Use the Distributive Property.
= 12m – 21 Simplify.
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6. The Distributive Property
ALGEBRA 1 LESSON 1-7
Simplify –(5q – 6).
–(5q – 6) = –1(5q – 6) Rewrite the expression using –1.
= –1(5q) – 1(–6) Use the Distributive Property.
= –5q + 6 Simplify.
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7. The Distributive Property
ALGEBRA 1 LESSON 1-7
Simplify –2w2 + w2.
–2w2 + w2 = (–2 + 1)w2 Use the Distributive Property.
= –w2 Simplify.
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8. The Distributive Property
ALGEBRA 1 LESSON 1-7
Write an expression for the product of –6 and the quantity 7 minus m.
Relate:  –6  times the quantity 7 minus m  
Write: –6 • (7 – m)
–6(7 – m)
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9. The Distributive Property
ALGEBRA 1 LESSON 1-7
Simplify each expression.
1. 11(299) (x + 8) – 3(2y – 7)
4. –(6 + p) a + 2b – 4c + 3.1b – 4a
6. Write an expression for the product of and the quantity b minus .
3289
4x + 32
– 6y + 21
– 6 – p
–2.7a + 5.1b – 4c 4 7 3 5 4 7 3 5
b –
( )
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