Question

variable written 42x - 18 and 6(7x - 3) 8m + 4 and 12m 6(3y + 3) and 2+18y properties of operations 5.7x + 3.1 + 0.4x substituted value and 5.7x + 0.4x + 3.1 4n + 6 and 4(n + 1) (3x. 2) + 5 and 3x • (2 + 5) algebraic expressions Definition Facts Two that have the same regardless of the number that is for the same in the expressions. Equivalent expressions can be in more than one way. The can be used to write equivalent expressions. Equivalent Expressions Examples Nonexamples

Answer 1

Two algebraic expressions that have the same value regardless of the number that is substituted for the same variables in the expressions

This is the first one, is it understandable?

Equivalent expressions can be written in more than one way

The properties of operations can be used to write equivalent expressions

Examples:

`6(3y+(1)/(3))and_{\text{ }}2+18y`
`5.7x+3.1+0.4x_{\text{ }}and_{\text{ }}5.7x+0.4x+3.1`
`42x-18_{\text{ }}and_{\text{ }}6(7x-3)`

Non examples:

`\begin{gathered} 8m+4_{\text{ }}and_{\text{ }}12m \\ 4n+6_{\text{ }}and_{\text{ }}4(n+1) \\ (3x\cdot2)+5_{\text{ }}and_{\text{ }}3x\cdot(2+5) \end{gathered}`