Equivalent Expressions and Their Representations

They have different variables.

They have the same variables.

They have the same value.

They have different values.

By adding more terms.

By showing different values.

By illustrating the same number of groups.

By changing the variables.

3 groups of x

2 groups of x

6 groups of x

5 groups of x

4 groups of x and 2 groups of x plus 3

2 groups of x and 4 groups of x plus 3

6 groups of x

8 groups of x

8 groups

2 groups

6 groups

4 groups

They have different variables.

They have the same constant term.

They have different numbers of x's.

They have the same number of x's.

8x plus 6

6x plus 3

6x plus 6

4x plus 6

By showing different diagrams.

By showing the same number of groups of x and ones.

By adding more terms.

By changing the variables.

Different numbers of x's

Same number of groups of x and ones

Different constant terms

Different variables

How to justify equivalent expressions using diagrams

How to subtract expressions

How to add expressions

How to multiply expressions