Adding and Subtracting Linear Expressions

A linear expression

• has no variables.

• only has variables with an exponent equal to 1.

• has variables with an exponent greater than 1

A non-linear expression

• has no variables.

• only has variables with an exponent equal to 1.

• has variables with an exponent greater than 1.

Which expression is a linear expression? 

•  $7y\ +5-y$  

•  $4x\ +\ x^2\ +\ x$  

•  $-9\ +\ y^2\ +\ x$  

Which expression is a linear expression? 

•  $g\ +\ 2g^2\ +\ 6$  

•  $-3\ +\ 5m$  

• Neither is a linear expression.

Which expression is a non-linear expression? 

•  $8m^2\ -\ 2m^2+5$  

•  $8m\ -\ 2m\ +\ 5$  

• Both are linear expressions.

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

When you subtract a linear expression, 

• you change the subtraction sign to an addition sign.

• you change the signs of the terms in the second expression.

• all of the above.

Tags

CCSS.7.EE.A.1

CCSS.7.NS.A.1

Find the sum of the following expression; $\left(7x\ +2\right)\ +\ \left(x\ +\ 5\right)$  

•  $8x\ +\ 7$  

•  $7x\ +\ 7$  

•  $14x$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\left(-9y\ +\ 4\right)\ +\left(-y\ +6\right)$  

Find the sum of the following expression;

•  $-8y\ +\ 2$  

•  $-10y\ -\ 6$  

•  $-10y\ +\ 10$  

Tags

CCSS.HSA.APR.A.1

 $\left(2x\ -3\right)\ -\ \left(2x\ -\ 3\right)$  

Find the sum of the following expression;

•  $4x\ -\ 6$  

•  $10x$  

•  $0$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Find the sum of the following expression; $\left(x\ +\ 2\right)\ -\ \left(-x\ -2\right)$  

•  $2x\ +\ 4$  

•  $-6x$  

•  $0$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3