Algebra 1 commutative and associative properites

[object Object],[object Object],[object Object],[object Object],5Min 6-1 A. 33 B. 30 C. 22 D. 20 Simplify the expression 11(10 – 8), using the Distributive Property. (over Lesson 1-5)

5Min 6-2 ,[object Object],[object Object],[object Object],[object Object],A. 24 x + 30 B. 24 x + 24 C. 28 x + 20 D. 24 x + 35 Simplify the expression 6(4 x + 5), using the Distributive Property. (over Lesson 1-5)

[object Object],[object Object],[object Object],[object Object],5Min 6-4

Lesson 6 MI/Vocab ,[object Object],[object Object]

Lesson 6 CA Standard 25.0 Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements.

Lesson 6 Ex2 Use Multiplication Properties Evaluate 2 ● 8 ● 5 ● 7 using properties of numbers. Name the property used in each step. You can rearrange and group the factors to make mental calculations easier. Answer: 560 2 ● 8 ● 5 ● 7 = 2 ● 5 ● 8 ● 7 Commutative ( × ) = (2 ● 5) ● (8 ● 7) Associative (×) = 10 ● 56 Multiply mentally. = 560 Multiply mentally. BrainPop: The Commutative Property

Lesson 6 CYP2 ,[object Object],[object Object],[object Object],[object Object],A. 45 B. 36 C. 15 D. 180 Evaluate 3 ● 5 ● 3 ● 4.

Lesson 6 KC3 BrainPop: The Associative Property

Lesson 6 Ex3 Write and Simplify an Expression A. Use the expression three times the sum of 3x and 2y added to five times the sum of x and 4y. Write an algebraic expression for the verbal expression. Answer: 3(3 x + 2 y ) + 5( x + 4 y ) Words three times five times the sum of the sum 3 x and 2 y added to of x and 4 y Variable Let x and y represent the numbers. Equation 3(3 x + 2 y ) + 5( x + 4 y )

Lesson 6 Ex3 Write and Simplify an Expression B. Simplify the expression and indicate the properties used. 3 (3 x + 2 y ) + 5 ( x + 4 y ) = 3 (3 x ) + 3 (2 y ) + 5 ( x ) + 5 (4 y ) Distributive Property = 9 x + 6 y + 5 x + 20 y Multiply. = 9 x + 5 x + 6 y + 20 y Commutative (+) = (9 x + 5 x ) + (6 y + 20 y ) Associative (+) = (9 + 5) x + (6 + 20) y Distributive Property Answer: = 14 x + 26 y Substitution

[object Object],[object Object],[object Object],[object Object],Lesson 6 CYP3 A. (2 x + 3 y ) + ( x + 6 y ) B. 7(2 x + 3 y ) C. 5(2 x + 3 y ) + 2( x + 6 y ) D. (10 x + 3 y ) + (2 x + 6 y ) A. Use the expression five times the sum of 2x and 3y increased by 2 times the sum of x and 6y. Write an algebraic expression for the verbal expression.

[object Object],[object Object],[object Object],[object Object],Lesson 6 CYP3 A. 14 x + 21 y B. 12 x + 9 y C. 21 x + 9 y D. 12 x + 27 y B. Simplify the expression.

Algebra 1 commutative and associative properites

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Algebra 1 commutative and associative properites