Algebraic Expressions

Parts of Algebraic Expressions

100

How many terms are in the following expression: 2x-3y + 5 - 3x - 8

5 terms

200

What terms is a "like term" along with 6m in the following expression: 

0.5p + 6m - 5 + 1.5p - 12.5m + 2

-12.5m

300

What is the constant in the following expression: 

2y - 5 + 7x

-5

400

What are the coefficients in the following expression: 

7 + 4p - 5 - p + 2q

4, -1 and 2

500

How many terms are in the expression: 

1.4y + 5 - 4.2 - 5y + z - 10

6 terms

Factor

100

Factor. 10x + 15

5(2x + 3)

200

Factor. 4x + 6

2(2x + 3)

300

Factor. 9x - 12

3(3x - 4)

400

Factor. 5j - 15

5(j - 3)

500

Factor. x² - 4x

x(x - 4)

Distribute

100

Simplify. 3(q + 1)

3q + 3

200

Simplify. -4(q + 7)

-4q - 28

300

Simplify. 10 - (3 - 9)² + 7

-19

400

Simplify. -3(4x - 10), then factor 

-12x + 30 = 6(-2x + 5)

500

Simplify. -6x(-3x + 6)

-18x² - 36

Combine Like Terms

100

Simplify. 

-3x + 12 - 16 + 7x

4x - 4

200

Simplify.

 -15m - 26 + 12x - 12 + (-3m)

12x - 38

300

Simplify. 

12p + 9p - 6p + 14 - 26 + 2p

17p - 12

400

Simplify. 

-8g + 12 - 15g - 2g - 17

-25g - 5

500

Simplify. -8x + 12 -8x + 15 + 15x - 22 - x

-2x - 5

Vocab

100

Define Constant

A value that does not change. A number or term that has no variable part. 

200

Define Coefficient

A number that multiplies a variable. The number part of a term that has a variable. 

300

Define Expression 

A mathematical phrase represented by numbers and/or variables separated by operation symbols. 

400

What makes algebra different from other branches of math? 

Algebra contains variables

500

What is the difference between expressions and equations? 

Equations have equal signs and are created by setting two expressions equal to one another. Expressions cannot have equal signs.