Question

Which are equivalent expressions?

Check all that are true.

8x − 4y = 4(-y + 2x)

8x + 4y = 4(2x + y)

4x − 8y = 4(-x + 2y)

4x + 8y = 4(x + 2y)

4x + 8y = 4(8xy)

Answer 1

Equivalent Expressions are expression that have the same value on both side of the equal sign.

Expression 1:
First simplify both sides of the expression. One of them are already fully simplified.

8x-4y=4(-y+2x)
8x- 4y=-4y+8x

This expression IS an equivalent expression.

Expression 2:
Do the same as in expression one (we will be simplifying all of the expressions).

8x+4y=4(2x+y)
8x+4y=8x+4y

This expression IS an equivalent expression.

Expression 3:

4x-8y=4(-x+2y)
4x-8y=-4x+8y

This expression IS NOT an equivalent expression.

Expression 4:

4x+8y=4(x+2y)
4x+8y=4x+8y

This expression IS an equivalent expression.

Expression 5:

4x+8y=4(8xy)
4x+8y=32xy

This expression IS NOT an equivalent expression.