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

Match Each Expression In The First List With An Equivalent Expression From The Second List class=

Sagot :

Expression A is[tex]5(x+1)-2x+11[/tex]

We use the distributive property

[tex]5x+5-2x+11[/tex]

Then, we reduce like terms.

[tex]3x+16[/tex]

Therefore, expression A is equivalent to expression 4.

Expression B is[tex]2x+2+x+5[/tex]

We reduce like terms

[tex]3x+7[/tex]

Therefore, expression B is equivalent to 2 because

[tex]\frac{1}{2}(6x+14)=3x+7[/tex]

Expression C is[tex]\frac{-3}{8}x-9+\frac{5}{8}x+1[/tex]

We reduce like terms

[tex]\frac{-3x+5x}{8}-8=\frac{2x}{8}-8=\frac{x}{4}-8[/tex]

Therefore, expression C is equivalent to expression 1.

Expression D is [tex]2.06x-5.53+4.98-9.02[/tex]

We know that

[tex]2.06x+(-5.53)+4.98+(-9.02)=2.06x-5.53+4.98-9.02[/tex]

Therefore, expression D is equivalent to expression 5.

Expression E is[tex]99x+44[/tex]

If we express each number as factors, we have

[tex]99x+44=11\cdot9x+11\cdot4=11(9x+4)[/tex]

Therefore, expression E is equivalent to expression 3.

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