Algebra

Algebra Terms

100

This is the name for the LETTER that represents the missing number in algebra.

Variable

200

n + 7 is an example of this. 

Expression

300

z - 5 = 11 is an example of this.

Equations

400

This is NUMBER part of a variable term.

Coefficient

500

This is another name of a numerical term.

Constant

What Property and Why?

100

3(x - 5) = 3x - 15

Distributive Property, because you are distributing (multiplying) the term outside the parentheses to the terms inside the parentheses.

200

c + 3 = 3 + c

Commutative Property, because the order changes.

300

(2x + y) + 4 =2x + (y + 4) 

Associative Property, because the grouping changes.

400

x - 5 = x + (-5) 

Additive Inverse Property, because subtraction is adding the opposite.

500

(a + 2b) + 3 = (2b + a) + 3

Commutative Property, because the order of the terms change in the parentheses.

Expand or Factor Expressions

100

Expand 2(y+5x)

10x+2y

200

Expand -2.5(-3+4n+8)

-10n-12.5

300

A bedroom is originally 5 m wide and 8 m long. The length will be extended by ”x” meters. What are the two expressions for the new area of the bedroom?

Factored expression: 5(x+8)

Expanded expression: 5x+40

400

Factor 28y-32 using the GCF.

4(7y-32)

500

The area of a rectangle is 27x-9, using the GCF as the width, what is the length of the rectangle.

3x - 1

Add Expressions

100

Simplify (10x-4) + (-7+x)

11x-11

200

Add (6a+6), (3x-2), and (2a+4).

8a+3x+8

300

Find the sum of (3.2+4x) and (18.25+6x).

10x+21.45

400

Find the sum of (-2z-3), (4c+6y), and (7+3c).

7c+6y-2z+4

500

Find the perimeter of a rectangle with a width of (3x-1.5) and a length of (1.25x+3).

8.5x+3

Subtract Expressions

100

Simplify 14z-3-(6-5z).

19z-9

200

Simplify (-9p+7)-(-9p+3)

4

300

Subtract (7.8-5.1t) from (2.8-3.2t).

1.9t-5

400

Subtract (6+4b-2k) from (-4b+15-7k).

-8b-5k+9

500

Find the difference of (0.5n+0.3) and (0.75n-0.45)

-0.25n+0.75