Algebra Basics

Combining Like Terms

100

Combine Like Terms:  2x+4y+6x+8y

8x+12y

200

Combine Like Terms:   14x²+9y+10x+6x²

20x²+10x+9y

300

Combine Like Terms:   (2x²)^2+10x^2+9x

4x^4+10x^2+9x

400

Combine Like Terms:  (10x^2)^4+10x^2+8+13x^2

10,000x^8+23x^2+8

500

Combine Like Terms:  11x^2+400x^2+20x+(11x^2)^2

121x^4+411x^2+20x

Distributive Property

100

What does this equal:  9(x+1)

9x+9

200

What does this equal:  10x(12x+3)

120x^2+30x

300

What does this equal:  2x(3x+9)+4x(9+2)

6x^2+62x

400

What does this equal:   10x(2x-11)+25x^2

45x^2-111x

500

What does this equal:  23x(2x+3x)+3x

115x^2+3x

Equations

100

12+x=5

x=-7

200

3x=42

x=14

300

14=2x-10

x=12

400

-5(x+6)-10=10

x=-10

500

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

x=12

Evaluating

100

Evaluate:  x+2=9 what does x equal?

x=7

200

Evaluate:  2x+10=24 what does x equal?

x=7

300

Evaluate: 10x+9= 49 what does x equal?

x=4

400

Evaluate: 4x+10=2x+20 what does x equal?

x=5

500

Evaluate: 15x+30=30x what does x equal?

x=2

FOIL

100

What does the FOIL method stand for, and when do we use it?

FIRST

OUTER

INNER

LAST

Used to expand double brackets

200

(x+3)(x+2)

x²+5x+6

300

(x−4)(x+5)

x² + x − 20

400

(2x+1)(x+3)

2x² + 7x + 3

500

(3x−2)(2x+5)

6x² + 11x − 10