Question

Determine whether each pair of expressions is equivalent.

Select antor Not Equivalen for each pair of expressions.
3/4p + 2) and 12p + 6
O Equivalent
O Not Equivalent
O Equivalent
Not Equivalent
rand 2
29+ zdaniy y+2+2
O Equivalent
Not Equivalent
156 +5 and 5 (3+1)
Equivalent
O Not Equivalent

Answer 1

Step-By-Step Solution for Part 1:

• 3(4p + 2) = 12p + 6
• => (3 x 4p) + (3 x 2) = 12p + 6
• => 12p + 6 = 12p + 6

Answer: Equivalent

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Step-By-Step Solution for Part 2:

• r + r = 2r
• => 2r = 2r

Answer: Equivalent

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Step-By-Step Solution for Part 3:

• 2y + z² = y x y + z + z
• => 2y + z² = y² + 2z

[Replacing y as 2 and z as 3]

• => 2(2) + (3)² = (2)² + 2(3)
• => 4 + 9 = 4 + 6
• => 13 ≠ 10

Answer: Not Equivalent

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Step-By-Step Solution for Part 4:

15n + 5 = 5(3n + 1)

=> 15n + 5 = (5 x 3n) + (5 x 1)

=> 15n + 5 = 15n + 5

Answer: Equivalent

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