Question

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Two expressions are below.

M = 4(2x + 6)

N = 8x + 10

Part A:

Apply the distributive property to write an expression that is equivalent to expression M.

Part B:

Explain whether or not expressions M and N are equivalent for any value of x.

Label your answers to both parts of the problem in the response box.

Answer 1

Part A: 8x + 24

Part B: Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.

Explanation:

For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.

Hope this helped! :)