Question

Match each expression in the first list with an equivalent expression from the second list.

Answer 1

Expression A is
`5(x+1)-2x+11`

We use the distributive property

`5x+5-2x+11`

Then, we reduce like terms.

`3x+16`

Therefore, expression A is equivalent to expression 4.

Expression B is
`2x+2+x+5`

We reduce like terms

`3x+7`

Therefore, expression B is equivalent to 2 because

`(1)/(2)(6x+14)=3x+7`

Expression C is
`(-3)/(8)x-9+(5)/(8)x+1`

We reduce like terms

`(-3x+5x)/(8)-8=(2x)/(8)-8=(x)/(4)-8`

Therefore, expression C is equivalent to expression 1.

Expression D is
`2.06x-5.53+4.98-9.02`

We know that

`2.06x+(-5.53)+4.98+(-9.02)=2.06x-5.53+4.98-9.02`

Therefore, expression D is equivalent to expression 5.

Expression E is
`99x+44`

If we express each number as factors, we have

`99x+44=11\cdot9x+11\cdot4=11(9x+4)`

Therefore, expression E is equivalent to expression 3.