Question

Select all the expressions that are equivalent to the expression 0.6(-7 - 1.2x).

-4.2 - 1.2x
-4.2 - 0.72x
-0.72x + (-4.2)
-4.2 + 0.72x
-4(0.18x + 1.05)
0.6(-7) - 0.6(-1.2x)
0.6(-7) + 0.6(-1.2x)

Answer 1

Answer:

-4.2 - 0.72x (second)

-0.72x + (-4.2) (third)

-4(0.18x + 1.05) (fifth)

0.6(-7) + 0.6(-1.2x) (seventh)

Step-by-step explanation:

okay so 0.6(-7 - 1.2x) = -4.2 - 0.72x or -0.72x - 4.2 or -4.2 + (-0.72x) or -0.72x + (-4.2) they are all the same meaning these are all the simplified answers

so the first one is incorrect because it is -4.2 - 1.2x (simplified)

the second one is correct because it is -4.2 - 0.72x (simplified)

the third one is correct because it is -0.72x - 4.2 (simplified)

the fourth one is incorrect because it is -4.2 + 0.72x (simplified)

the fifth one is correct because it is -0.72x - 4.2 (simplified)

the sixth one is incorrect because it is -4.2 + 0.72x (simplified)

the seventh one is correct because it is -4.2 - 0.72x (simplified)

Answer 2

The correct options are B, C, E, and G.

Expression

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.  

Given to us

0.6(-7 - 1.2x)

The value of the expression

$0.6(-7 - 1.2x)\\= (0.6\times -7)-(0.6\times 1.2x)\\=-4.2-0.72x$

Therefore any expression equal to this will be the equivalent expression

A.) -4.2 - 1.2x

As we can see this expression is not equal to -4.2-0.72x. therefore, this is not an equivalent expression.

B.) -4.2 - 0.72x

This expression will be equal to the desired expression. Thus, this is an equivalent expression.

C.) -0.72x + (-4.2)

On rearranging this expression we will get the desired expression. Thus, this is an equivalent expression.

D.) -4.2 + 0.72x

As we can see this expression is not equal to -4.2-0.72x. therefore, this is not an equivalent expression.

E.) -4(0.18x + 1.05)

On rearranging this expression we will get the desired expression. Thus, this is an equivalent expression.

F.) 0.6(-7) - 0.6(-1.2x)

As we can see this expression is not equal to -4.2-0.72x. therefore, this is not an equivalent expression.

G.) 0.6(-7) + 0.6(-1.2x)

On rearranging this expression we will get the desired expression. Thus, this is an equivalent expression.

Learn more about Equivalent Expression:

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