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Equivalent Expressions and the Distributive Property

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

Check all that apply.

Answer
A
Distribute 9, by multiplication, to the variable, a, and to the constant, 8.
B
Write the two multiplications, 9(a) + 9(8)
C
The expression 9(a) is written as 9a.
D
The expression 9(8) equals 72.
E
The equivalent expression is 9a + 8.
F
The equivalent expression is 9a + 72.

Explanation

Distribute 9 to both terms inside the implied sum a + 8: 9(a) + 9(8). The product 9(a) is written as 9a, and 9 × 8 = 72, so the equivalent expression is 9a + 72. Choice E is incorrect because it leaves the 8 undisturbed.

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