Which of the following expressions are equivalent to the expression 4x + 8? choose all the expressions that are equivalent.

Which of the following expressions are equivalent to the expression 4x + 8?

choose all the expressions that are equivalent.

6x+8−2x

4(x+2)

4x+2

2(2x+8)

4(x+8)

3x+9+x−1

2(2x+4)

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This Post Has 5 Comments

  1. Option 1,2,5 and 7 are correct.

    Step-by-step explanation:

    To find : Which of the following expressions are equivalent to the expression 4x + 8?

    Solution :

    We solve every given options,

    1) [tex]4(x+2)[/tex]

    [tex]4(x+2)=4x+8[/tex]

    It is equivalent.

    2) [tex]6x+8-2x[/tex]

    [tex]6x+8-2x=4x+8[/tex]

    It is equivalent.

    3) [tex]4x+2[/tex]

    It is not equivalent.

    4) [tex]2(2x+8)[/tex]

    [tex]4x+16[/tex]

    It is not equivalent.

    5) [tex]3x+9+x-1[/tex]

    [tex]3x+9+x-1=4x+8[/tex]

    It is equivalent.

    6) [tex]4(x+8)[/tex]

    [tex]4(x+8)=4x+32[/tex]

    It is not equivalent.

    7) [tex]2(2x+4)[/tex]

    [tex]2(2x+4)=4x+8[/tex]

    It is equivalent.

    Therefore, Option 1,2,5 and 7 are correct.

  2. Step-by-step explanation:

    4x+8

    6x+8-2x=4x+8 yes

    4(x+8)=4x+32 no

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

    4x+2 no

    Answers: 6x+8-2x( first choice) , 2(2x+4) ( third choice)

  3. 6x+8−2x  

    4(x+2)  

    3x+9+x−1  

    2(2x+4)

    Step-by-step explanation:

    For an expression to be equivalent it must simplify to 4x + 8.

    6x+8−2x   = 4x + 8 YES

    4(x+2)  = 4x + 8 YES

    4x+2  = 4x + 2 NO

    2(2x+8)  = 4x + 16 NO

    4(x+8)  = 4x + 32 NO

    3x+9+x−1  = 4x + 8 YES

     

    2(2x+4)  = 4x + 8 YES

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