1.02 Work with Linear Expressions - CAVA 7th Grade

1.02 Work with Linear Expressions - CAVA 7th Grade

Mr. Holmlund

Goals and Standard

• 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.

Identify Like Terms

• 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.

Multiple Select

Identify Like Terms

• $3x$

• $\left(-2y\right)$

• $8x$

• $5$

Multiple Choice

Which term does not have a like term?

• $7x^2$

• $\frac{1}{2}x^2$

• $\frac{1}{4}x$

• $10y$

• $4y$

Factor Linear Expressions

To factor a linear expression, look for factors that the terms have in common. For example, like terms have the same variable with the same exponent, which is a common factor for those terms. Different constants, and the coefficients of different variable terms, may also have a common factor.

Factor the expression:

 $4xy\ +\ 6x$  

• 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)\$  

Multiple Choice

Which expression shows the result of completely factoring and simplifying the expression 5x+10y−20?

• $10\left(2x+y-2\right)$

• $5\left(x+2y-4\right)$

• $xy\left(5+10-20\right)$

• $5xy\left(1+2-20\right)$

Fill in the Blank

Factor the linear expression.

10x+15

Fill in the Blank

Factor the linear expression.

8x+4