Question

State whether each expression is equivalent.

3(x + 5) and 5(x + 3)


6y - 26 and 2(3y - 13)

18 - 2p and 3(5 + 6p) + 3(2p + 1)

15 - 5q and 5(q - 3)

Answer 1

`\huge\text{Hey there!}`

`\large\text{State whether each expression is equivalent.}`

`\large\text{In order for you find out which one is equivalent to each expressions, }\\\large\text{you will have to DISTRIBUTE!}`

`\large\text{Option A. }\downarrow`

`\large\text{3(x + 5)}`

`\large\text{3(x) + 3(5)}\\\large\text{= \bf 3x + 15}\\\large\text{5(x + 3)}\\\large\text{5(x) + 5(3)}\\\large\text{= \bf 5x + 15}\\\large\text{\bf 3x + 15 }\bf \\eq\large\text{ \bf 5x + 15}`

`\large\text{Option A. is NOT your ANSWER}`

`\large\text{Option B.}\downarrow`

`\large\text{2(3y - 13)}\\\large\text{2(3y) + 2(-13)}\\\large\text{= \bf 6y - 26}\\\large\text{\bf 6y - 26 = 6y - 26}`

`\large\text{Option B. could POSSIBLY be the ANSWER}`

`\large\text{Option C is NOT be your ANSWER because it is way too big.}`

`\large\text{Option D.}\downarrow`

`\large\text{5(q - 3)}\\\large\text{5(q) + 5(-3)}\\\large\text{\bf = 5q - 15}\\\large\text{\bf 15 - 5q}\\eq\large\text{\bf 5q - 15}`

`\large\text{Option D. is NOT your ANSWER}`

`\boxed{\boxed{\large\text{Answer: \bf Option B. 6y - 26 and 2(3y - 13)}}}\huge\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

~
`\frak{Amphitrite1040:)}`