Question

Fill in the blanks.
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