1.02 Work with Linear Expressions - CAVA 7th Grade

Identify like terms

Use factoring to simplify linear expressions

7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Some terms have things in common. Like terms have the same variable and the same exponent. For example, the like terms   $2x^2$   and  $3x^2$   both contain   $x^2$   : the variable  x and the exponent 2. Like terms do not have to have the same coefficient.

Both 4xy and 6x contain the variable x with an exponent of 1.

Factors of 4: 1, 2, 4. Factors of 6: 1, 2, 3, 6. 2 is a common factor for the terms.

 $2x\ \left(\frac{4xy}{2x}+\frac{6x}{2x}\right)$  

Simplify the expression.

 $2x\left(2y\ +\ 3\right)\$