Algebra 1

Vocabulary

100

What is an unknown value that is represented by a symbol/letter

A variable

200

What is a term with no variable; basically a number by itself

A constant

300

The criteria of a like term

A like term have the same variable and exponent

400

The number in front of the variable

Coefficient

500

Consist of adding and subtracting numbers and variables. Does not contain an equal sign

Expression

Solving Equations

100

Solve the Equation:

5x = 15

x = 3

200

Solve the Equation:

2x + 3 = 11

x = 4

300

Solve the Equation:

4x + x - 10 = 30

x = 8

400

Solve the Equation:

-(5x + 3) = 17 

x = -4

500

Solve the Equation:
3x - 2 - 6x + 15 = 94

x = -27

Combining Like Terms

100

3x + 2x

5x

200

x + 5x + 10 -3

6x + 7

300

7x - 5 + 9 - 4x

3x + 4

400

2x² + 13 - 5x + 3x - 9 

2x² - 2x + 4

500

-x + 15x - 10 - 13x² + x²

-12x² + 14x - 10

Distributive Property

100

3(x - 2)

3x - 6

200

-(x - 7)

-x + 7

300

9(x + 7) + x - 5

10x + 58

400

3(x + 2) + 4(x - 8)

7x - 26

500

3(n + 5) - (2.7 + .5n)

2.5n + 12.3

Identifying Like Terms

100

True or False. Are -2x and 17x like terms?

True. Both have a variable of x with an exponent of 1.

200

True or False. Are 2x² and 2x like terms?

False. Variables match, but exponents do not match.

300

Which one of the following are like terms with 5x?

5x², x, 5a, 5, none of these

x

400

What must a term have to be a like term with the following term?

13x⁴

A like term to 13x⁴, must have an x as the variable and a 4 as the exponent.

500

List the following terms together with their like terms.

x, 9, x², -4, 9x, 12, -3x, 2y, 7xy

x²

x, 9x, -3x

9, -4, 12

2y

7xy