Fill in the blanks.

Question

Two expressions are equivalent if they are _ for all possible values of the variables.
What is an equivalent expression for -2.5 + 7.1x?
1. Use proberties of _ to rewrite the expression.
- Use the commutative property.
-2.5 + 7.1x
7.1x + (_)
7.1x - 2.5

Answer 1

Two expressions are equivalent if they are equal for all possible values of the variables.

An equivalent expression for \(-2.5 + 7.1x\) can be obtained using the properties of addition to rewrite the expression.

Using the commutative property:

• Start with \(-2.5 + 7.1x\)
• Rearranging gives \(7.1x + (-2.5)\)
• This can be expressed as \(7.1x - 2.5\)

So the completed statements are: Two expressions are equivalent if they are equal for all possible values of the variables. What is an equivalent expression for (-2.5 + 7.1x?

1. Use properties of addition to rewrite the expression.

• Use the commutative property. -2.5 + 7.1x 7.1x + (-2.5) 7.1x - 2.5