Simplifying Expressions

Combining Like Terms

100

3b + 2b - 5+ b

6b - 5

200

3 + 5x + 2 + 4x

9x + 5

300

10b - 4b -b + 2 + b

6b + 2

400

5xy + 6y + 3xy - 2y + 6x²   

8xy + 4y + 6x²

500

12x² + 30 + 24y + x + 6x² -5x² - 5y 

13x² + 19y + x + 30 

Combining Like Terms

100

x + x + x + x

4x

200

12x + 4x - 2x + 2

14x + 2

300

3x + 3y +2 + 3x + 6y

6x + 9y + 2

400

2y² + 6y + 4y + 10y²

12y² + 10y 

500

5x² + 25xy + 5y + 8 - 4xy + 2x² + y

7x² + 21xy + 6y + 8

Distribution

100

2(3x + 4)

6x + 8

200

5(x - 7)

5x - 35

300

-7(4 - 7x)

-28 + 49x

400

¹/₂(8x - 6)

4x - 3

500

10(2 - 9x) - 15

5 - 90x

Distribution

100

6(6y + 5)

14x + 3y

200

-(12w + 45)

-12w - 45

300

2.5(-4 - 10p) 

-10 - 25p

400

7x - 5(7x - 4)

-28x + 20

500

¹/₃(12y + 9 - 3w)

4y + 3 - w

Vocabulary

100

Each part of an expression separated by an operation. 

What is a term. 

200

A letter  or symbol that stands for a particular value. 

What is a variable 

300

A number that stands by itself and does not change. 

What is a constant. 

400

A number that does not stand by itself. It is attached to the variable and is multiplied by the variable. 

What is a coefficient

500

A number sentence without an equal sign that has at least one term and one operation. 

What is an algebraic expression.