Simplifying Algebraic Expressions

Vocabulary

100

What is the name of the property that needs to be performed in the following problem:

5( x + 3)

Distributive   

200

A term that has no variables is called a _________________ term.

constant

300

A term that contains variables is called a _________________ term.

variable

400

In a variable term, the number that is being multiplied by the variable factor is called the ___________________.

coefficient

500

Terms with the same variable factors are called _____________  terms.

like

Terms and Coefficients

100

How many terms are in the expression:

4x + 7

2

200

How many terms are in the expression:

5x² -3x+2

3

300

How many variable terms are in the following expression:

3x² +5x - 7

2

400

What is the coefficient of the 2nd term of the following expression:

7x² - 8x +5

-8

500

In the following expression, the constant terms are:

7x² + 6 + 9x - 7 + 15x

6 and -7

Combine Like Terms

100

4x+2x

6x

200

Combine Like Terms:

5z - 2 + 8z +10

13z +8

300

Combine Like Terms:

   8x² + 3x - 2 + 7 +2x² - 9x

   10x² - 6x + 5  

400

-x² + 4x - 9x - 6x² + 5x

-7x²

500

Combine like terms:

n + 4 − 9 − 5n

-4n -5

Distributive Property

100

Simplify the following using the distributive property:

2(x + 3)

2x + 6

200

Simplify the following expression using the distributive property:

-5(x + 6)

-5x - 30

300

Simplify the following using the distributive property:

-6(x - 9)

-6x + 54

400

Simplify the following using the distributive property:

4x(2x + 3)

8x² +12x

500

Simplify the following using the distributive property:

-7a(-8a - 3)

56a² + 21a

Potpourri

100

Solve for x:  

x + 78 = -93

-171

200

Solve for x:

12x=3

(write your answer as a reduced fraction)

1/4

300

Find the average of 23, 45, 34, 56, 22

36

400

Solve for x:

x + (-23) = 56

79

500

Solve for x:

3x + 2 = 17

5