Algebra 1 commutative and associative properites
14
A. A B. B C. C D. D A. 33 B. 30 C. 22 D. 20 Simplify the expression 11(10 – 8), using the Distributive Property. (over Lesson 1-5)
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Transcript of Algebra 1 commutative and associative properites
A. A
B. B
C. C
D. D
A. 33
B. 30
C. 22
D. 20
Simplify the expression 11(10 – 8), using the Distributive Property.
(over Lesson 1-5)
1. A
2. B
3. C
4. D
A. 24x + 30
B. 24x + 24
C. 28x + 20
D. 24x + 35
Simplify the expression 6(4x + 5), using the Distributive Property.
(over Lesson 1-5)
• Recognize the Commutative and Associative Properties.
• Use the Commutative and Associative Properties to simplify algebraic expressions.
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.
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
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(3x + 2y) + 5(x + 4y)
Words three times five timesthe sum of the sum
3x and 2y added to of x and 4y
Variable Let x and y represent the numbers.
Equation 3(3x + 2y) + 5(x + 4y)
Write and Simplify an Expression
B. Simplify the expression and indicate the properties used.3(3x + 2y) + 5(x + 4y) = 3(3x) + 3(2y) + 5(x) + 5(4y)
Distributive Property
= 9x + 6y + 5x + 20y Multiply.
= 9x + 5x + 6y + 20y Commutative (+)
= (9x + 5x) + (6y + 20y) Associative (+)
= (9 + 5)x + (6 + 20)yDistributive PropertyAnswer: = 14x + 26y
Substitution
1. A
2. B
3. C
4. D
A. (2x + 3y) + (x + 6y)
B. 7(2x + 3y)
C. 5(2x + 3y) + 2(x + 6y)
D. (10x + 3y) + (2x + 6y)
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.
1. A
2. B
3. C
4. D
A. 14x + 21y
B. 12x + 9y
C. 21x + 9y
D. 12x + 27y
B. Simplify the expression.
