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AssignmentMultiple Select

Using the Distributive Property

Question 1 • (AG Q1) Keystone Algebra 1 Block: 26-27 (DDiamond)

Ranger was given this expression to simplify. 4(2x – 5)What advice to simplify the expression would you give Ranger? Check all that apply.

Answer
A
First combine the terms in the parentheses.
B
This expression can be simplified by using the distributive property.
C
The 4 will be added to each term inside the parentheses.
D
The 4 will be multiplied to each term inside the parentheses.
E
A simplified expression is equivalent to the original expression.

Explanation

Use the distributive property: multiply 4 by each term inside the parentheses, so 4(2x − 5) = 8x − 20. The 4 is multiplied, not added, to each term. The simplified expression 8x − 20 has the same value as the original expression, so it is equivalent.

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