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Identifying Equivalent Expressions

Which expressions are equivalent to 7x - 14? Check all that apply.

14 - 7x
O x-2
-(14 – 7x)
7(x - 2)
3x - 14 + 4x
2x - 10 + 5x + 4
It is -(14-7x)
7(x-2)
3x-14+4x

1 Answer

4 votes

Answer:

Option c, d and e are equivalent expressions to 7x-14

Explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

The expressions that are the same, even if the expression looks different.

For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

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