Add Linear Expressions

Add Linear Expressions

By Rachel Lavey

I can...

​- add linear expressions.

I can add linear expressions.

What on this page can be combined?

A. 7x, 4x, 4, 2y, -3x, -6

B. ​11c, 1, 7y, 4y, 3, 9

C. ​4d, 8d, -1, -t, 11

D. 4r, -3r, 15, 8p, 4p​

I can add linear expressions.

So, what we could group together were known as terms.

The letters are known as variables.

What are the variables in the following set of terms?

​4y

6d

-8y

2r​

I can add linear expressions.

Fill in the Blanks

What is the variable in this expressions?

4x-2

Linear Expressions are...

I can linear expressions.

Multiple Select

Which are linear expressions?

• 3t-4

• 4zx

• 11w+5

• $$2x^2-1$$  

We will sometimes see problems that look like this:

(2x-2)+(3x+1)

We will add these linear expressions!

2x-2

​+ 3x+1

​ 5x-1 So, (2x-2)+(3x+1)= 5x-1

Box in your like terms. Then, just add like regular. Don't forget to include the symbol before!​

I can add linear expressions.

Add this linear expression:

(3x+5)+(2x+3)​

First, box in like terms.

3x+5

+ 2x+3​

I can add linear expressions.

Second, combine like terms.

3x+5

+ 2x+3​

5x+8​

So, (3x+5)+(2x+3)=5x+8

​

Let's add this linear expression:

(4v-7)+(-6v-1)​

First, let's box in the like terms.

I can add linear expressions.

4v-7

+ -6v-1

​

4v-7

+ -6v-1

​

Second, let's combine the like terms.

Let's add this linear expression:

(7z+11)+(-z+1)​

First, let's box in the like terms.

I can add linear expressions.

7z+11​

+ -z+1

​

Second, let's combine the like terms.

7z+11​

+ -z+1

​

Now you add this linear expression:

(11a+3)+(4a-4)​

First, box in the like terms.

I can add linear expressions.

11a+3​

+ 4a-4

​

Second, combine the like terms.

11a+3​

+ 4a-4

​

Write a linear expression for each scenario, then add them to find the total we need.

Next week for dessert week my mom and I are both bringing in a dessert.

​

For my mom's brownies she needs 2 cups of butter for each tray of brownies and 3 bags of chocolate chips total.

​

For my fudge I will need 1.5 cups of butter and 2 bags of chocolate chips for each tray of fudge.

​

How much butter and chocolate chips will we need for x trays of brownies and fudge?

I can add linear expressions.

Now you add this linear expression:

(7y-2)+(-4y-4)​

First, box in the like terms.

I can add linear expressions.

7y-2​

+ -4y-4

​

Second, combine the like terms.

7y-2​

+ -4y-4

​

What would we do for a problem like this?

6(x+7)+(x+3)

I can add linear expressions.

Fill in the Blanks

What is (6x+2)+(-3x-1)?

Multiple Choice

What is (-6x-2)+(-2x+7)

• -4x-9

• 4x-5

• -8x+5

• 8x-9