Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–7) Main Idea and Vocabulary Key Concept: Distributive Property Example 1:Write Sentences as.

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Splash Screen

Lesson Menu Five-Minute Check (over Lesson 1–7) Main Idea and Vocabulary Key Concept: Distributive Property Example 1:Write Sentences as Equations Example 2:Write Sentences as Equations Example 3:Real-World Example Concept: Summary: Real Number Properties Example 4:Use Properties to Evaluate Expressions

Main Idea/Vocabulary equivalent expressions properties Use Commutative, Associative, Identity, and Distributive properties to solve problems.

KC

Example 1 Write Sentences as Equations Use the Distributive Property to evaluate the expression 8(5 + 7). Answer: 96 8(5 + 7) = 8(5) + 8(7)Distributive Property = Multiply. = 96Add.

1.A 2.B 3.C 4.D Example 1 A.9 B.12 C.27 D.36 Use the Distributive Property to evaluate the expression 4(6 + 3).

Example 2 Write Sentences as Equations Use the Distributive Property to evaluate the expression 6(9) + 6(2). Answer: 66 6(9) + 6(2)=6(9 + 2)Distributive Property = 6(11)Add. =66Multiply.

1.A 2.B 3.C 4.D Example 2 A.8 B.26 C.56 D.105 Use the Distributive Property to evaluate the expression (5 + 3)7.

Example 3 VACATIONS Mr. Harmon has budgeted $150 per day for his hotel and meals during his vacation. If he plans to spend six days on vacation, how much will he spend? You can find how much Mr. Harmon will spend over the six-day period by finding 6 × 150. You can use the Distributive Property to multiply mentally.

Example 3 6(150) = 6( )Rewrite 150 as Answer: Mr. Harmon will spend about $900 on a six-day vacation. = 6(100) + 6(50)Distributive Property = Multiply. = 900Add.

1.A 2.B 3.C 4.D Example 3 A.$2.50 B.$62.50 C.$150 D.$ COOKIES Heidi sold cookies for $2.50 per box for a fundraiser. If she sold 60 boxes of cookies, how much money did she raise?

CS

Example 4 Find 5 ● 13 ● 20 mentally. Justify each step. Answer: 1,300 Use Properties to Evaluate Expressions 5 ● 13 ● 20=5 ● 20 ● 13 Commutative Property of Multiplication =(5 ● 20) ● 13 Associative Property of Multiplication =100 ● 13 or 1,300Multiply 100 and 13 mentally.

1.A 2.B 3.C 4.D Example 4 A.Associative Property of Addition B.Commutative Property of Addition C.Identity Property of Addition D.A and B Name the property shown by the statement 4 + (6 + 2) = (4 + 6) + 2.

End of the Lesson

Resources Five-Minute Check (over Lesson 1–7) Image Bank Math Tools Arithmetic Sequences Modeling Algebraic Expressions Function Machines

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 1-7) A.82 B.72 C.32 D.28 Solve the equation 27 + n = 55 mentally.

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 1-7) A.3 B.4 C.5 D.6 Solve the equation 9y = 45 mentally.

1.A 2.B 3.C Five Minute Check 3 (over Lesson 1-7) Name the number from the list {1.6, 2.8, 3.1} that is the solution of the equation a = 4. A.1.6 B.2.8 C.3.1

1.A 2.B 3.C Five Minute Check 4 (over Lesson 1-7) Name the number from the list {2.3, 3.5, 4.6} that is the solution of the equation 18m = 63. A.2.3 B.3.5 C.4.6

1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 1-7) A.$8.50 B.$8.75 C.$9.50 D.$9.75 Kieran worked for 9.5 hours and earned $ How much does she get paid per hour? Use the equation 9.5w = 80.75, where w is Kieran’s hourly wage.

1.A 2.B 3.C 4.D Five Minute Check 6 (over Lesson 1-7) Warren had 26 bobbleheads in his collection. After he bought some more bobbleheads at an auction, he had a total of 32 bobbleheads. Which equation could be used to find how many bobbleheads he bought at the auction? A.32 + t = 26 B.32 ÷ t = 26 C.26 – 32 = t D.26 + t = 32

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