Simplifying Expressions
Like Terms
Distributive Property
Adding Linear Expressions
Subtracting Linear Expressions
100

Simplify the expression 

12x + 3 + 7 - 11x - 1

x+9



100

Are these like terms? (yes or no)

3x and 7x

Yes

100

What operation do you use when you distribute?

Addition, subtraction, multiplication, or division

Multiplication 

100

Add the linear expressions

(x+1) + (x+1)

2x+2

100

Subtract the linear expressions:

(4x-4)-(3x-7)

x+3

200

Simplify the expression 

2(x+4) - 5x

-3x+8

200

Are these like terms? (yes or no)

2ab, 3ab and 5ab

Yes

200

Use the distributive property:

2(x+1)

2x+2
200

Add the linear expressions:

(4x-4)+(3x-7)

7x-11

200

Subtract the linear expressions:

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

2x+1

300

Simplify the expression 


5(x-2)-13 + 7x

12x-23

300

Are these like terms? (yes or no)

2x2 and 2x

No

300

Use the distributive property:

4(a+2)

4a+8

300

Add the linear expressions:

(x+4)+(9x+2)

10x+6

300

Subtract the linear expressions:

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

10x+3

400

Simplify the expression 

-3 -5 -2x -12 -10x

 

-12x-20

400

Combine the like terms

3x + 8 - 2x +2

x+10

400

Use the distributive property:

-3(2x-2)

-6x+6

400

Add the linear expressions:

(-5x-2)+(5x+2)

0

400

Subtract the linear expressions:

(x-5)-(3x + 1)

-2x-6

500

Simplify

16x + 3 - 4(-10x -6)

56x+27

500

Combine the like terms

3z+4y+5z+6y+9

8z+10y+9

500

Use the distributive property:

-5(3x+3)

-15x-15

500

Add the linear expressions:

(7x-4)+(3-8x)

-x-1 OR -1x-1

500

Subtract the linear expressions:

(-2x-4)-(-2x-3)

-1

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