Question

9
decide if each pair of expressions is equivalent.
choose equivalent or not equivalent for each pair of expressions.

	equivalent	not equivalent
$4(6p + 3)$ and $3(8p + 4)$	$\circ$	$\circ$
$15m + 6$ and $21m$	$\circ$	$\circ$
$w + w + w + y + y + y + y$ and $3w + 4y$	$\circ$	$\circ$

Explanation:

Step1: Simplify first expression pair

$3z \div 12 = \frac{3z}{12} = \frac{z}{4}$
$12z \div 3 = \frac{12z}{3} = 4z$

Step2: Simplify second expression pair

$4(6p+3) = 24p + 12$
$3(8p+4) = 24p + 12$

Step3: Simplify third expression pair

$15m + 6$ (cannot combine unlike terms)
$21m$ (single term)

Step4: Simplify fourth expression pair

$w+w+w+y+y+y+y = 3w + 4y$
$3w + 4y$ (already simplified)

Answer:

Expression Pair	Equivalent	Not Equivalent
$4(6p+3)$ and $3(8p+4)$	$\bigcirc$
$15m + 6$ and $21m$		$\bigcirc$
$w+w+w+y+y+y+y$ and $3w + 4y$	$\bigcirc$