Question

Which expressions are equivalent to 6 (–x) 2x (–7) 2x? Check all that apply. X x 6 – 7 x 2x 2 x 3 – x 2x – 4 2x x – 1 x 1.

Answer 1

Answer:

A, C edge 2022

Step-by-step explanation:

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Answer 2

Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,

$x+x+6-7+x$

$3-x+2x-4+2x=3x-1$

Given information

The given expression in the problem is,

$6+(-x)+2x+(-7)+2x$

Equivalent expression

Equivalent expression is the expression which is equal to the original equation but the way of representation is different.

The given equation is,

$6+(-x)+2x+(-7)+2x$

As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.

$6+(-x)+2x+(-7)+2x=6-x+2x-7+2x\\ 6+(-x)+2x+(-7)+2x=-x+2x+2x+6-7\\ 6+(-x)+2x+(-7)+2x=3x-1$

Check all the option,

• 1) The expression given in the option 1 is,

$x+x+6-7+x$

Solve it further,

$x+x+6-7+x=x+x+x+6-7\\ x+x+6-7+x=3x-1$

The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.

• 2) The expression given in the option 2 is,

$2x+2+x$

Solve it further,

$2x+2+x=2x+x+2\\2x+2+x=3x+2$

The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.

• 3) The expression given in the option 3 is,

$3-x+2x-4+2x$

Solve it further,

$3-x+2x-4+2x=3x-1$

The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.

• 4) The expression given in the option 4 is,

$x-1$

The expression of the option 4 is not equivalent to the expression given in the problem.

• 5) The expression given in the option 4 is,

$x+1$

The expression of the option 5 is not equivalent to the expression given in the problem.

Hence the equivalent expression of the given expression are,

$x+x+6-7+x$

$3-x+2x-4+2x=3x-1$

Learn more about the equivalent expression here;

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