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Lesson Menu Five-Minute Check (over Chapter 11) Main Idea and Vocabulary Key Concept: Distributive Property Example 1:Use the Distributive Property Example 2:Apply the Distributive Property Example 3:Rewrite Algebraic Expressions Example 4:Rewrite Algebraic Expressions
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Main Idea/Vocabulary Distributive Property Use the Distributive Property to compute multiplication problems mentally and to rewrite algebraic expressions.
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KC
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Example 1 Use the Distributive Property Find 8 × 64 mentally using the Distributive Property. 8 × 64=8(60 + 4)Write 64 as 60 + 4. =8(60) + 8(4)Distributive Property =480 + 32Multiply 8 and 60 mentally. =512Add. Answer: 512
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1.A 2.B 3.C 4.D Example 1 A.77 B.363 C.392 D.455 Find 7 × 56 mentally using the Distributive Property.
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Example 2 Apply the Distributive Property Su is baking cookies and cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. How many total cups of sugar are needed if she is making 5 batches of each? Method 1Multiply. Then add. 5(2) + 5(3) = 10 + 15 or 25 cups amount of sugar for cookies amount of sugar for cupcakes
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Example 2 Apply the Distributive Property Method 2 Add. Then multiply. 5(2 + 3) = 5(5) or 25 cups. amount of sugar for one batch of cookies and one batch of cupcakes Answer: Using either method, Su needs 25 cups of sugar.
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1.A 2.B 3.C 4.D Example 2 A.$6.00 B.$12.00 C.$10.00 D.$18.00 A package of pencils costs $2.00 each and a package of pens costs $4.00 each. How much will Robert spend if he buys 3 packages of each?
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Example 3 Rewrite Algebraic Expressions Use the Distributive Property to rewrite 4(x – 3). 4(x – 3)=4[x + (–3)]Rewrite x – 3 as x + (–3). =4(x) + 4(–3)Distributive Property =4x + (–12)Multiply. =4x – 12Rewrite 4x + (–12) as 4x – 12. Answer: 4x – 12
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1.A 2.B 3.C 4.D Example 3 A.3x – 9 B.3x – 6 C.3x – 3 D.x – 9 Use the Distributive Property to rewrite 3(x – 3).
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Example 4 Rewrite Algebraic Expressions Use the Distributive Property to rewrite 5(x + 6). 5(x + 6)=5(x) + 5(6)Distributive Property =5x + 30Multiply. Answer: 5x + 30
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1.A 2.B 3.C 4.D Example 4 A.6x + 10 B.6x + 24 C.6x + 4 D.x + 24 Use the Distributive Property to rewrite 6(x + 4).
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End of the Lesson
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Resources Five-Minute Check (over Chapter 11) Image Bank Math Tools Solving Equations Using Addition and Subtraction
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1.A 2.B 3.C 4.D Five Minute Check 1 A.–2, –9, 10, 5 B.10, –9, 5, –2 C.–2, 5, –9, 10 D.–9, –2, 5, 10 Order –2, 5, 10, and –9 from least to greatest. (over Chapter 11)
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1.A 2.B 3.C 4.D Five Minute Check 2 A.–5 B.5 C.–11 D.11 Find –3 + (+8). (over Chapter 11)
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Chapter 11) A.–3 B.3 C.–19 D.19 Find –8 – (–11).
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1.A 2.B 3.C 4.D Five Minute Check 4 (over Chapter 11) A.–2 B.2 C.–35 D.35 Find –5(–7).
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1.A 2.B 3.C 4.D Five Minute Check 5 (over Chapter 11) A.–7 B.7 C.–42 D.6 Find –49 ÷ 7.
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1.A 2.B 3.C 4.D Five Minute Check 6 (over Chapter 11) A.(–1, 2) B.(–3, 3) C.(0, 3) D.(–4, –1) Which of the following coordinates lie outside the circle?
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