ALGEBRA 1 REVIEW

Combine Like terms

100

3x+2x=?

5x

200

5x-3x+2=?

2x+2

300

x+x+3y+2y=?

2x+5y

400

x²-4x+x²-2x-5x³=?

-5x³+2x²-6x

500

x³-4x²+2xy+4x³-2y+2x-3+5xy=?

5x³-4x²+7xy+2x-2y-3

Multi-Step Equations

100

2x+2=4

x=1

200

4x-11x+8=36

x=-4

300

-2(x-4)-5=-15

x=9

400

2x-(-4x+5)-8=-31

x=-3

500

-2(x+2)/3 = 12

x=-20

Adding/Subtracting Polynomials

100

(5x+2)+(9x+6)

14x+8

200

(-4x+3)+(-5x-2)

-9x+1

300

(-10x²+8)+(-11x²-3)

-21x²+5

400

(-13x²+4x) - (-15x²+2x)

2x²+2x

500

(8x³-4x-2) - (-8x²+12x+10)

8x³+8x²-16x-12

Multiplying Polynomials

100

(3x)(5x)

15x²

200

(3x-2)(9x)

27x²-18x

300

(8y²-4y)(-5y+2)

-40y³+36y²-8y

400

(−3x+1)(−2x²+5x+5)

6x³−17x²−10x+5

500

(-9x⁴+8y)(3x+y-2)

-27x⁵-9x⁴y+18x⁴+24xy²+8y²-16y

Vocabulary

100

What is a letter that represents a number called?

Variable

200

What is Rise/Run known as

Slope

300

What is an expression with multiple variables called? 

(example: 4x+8y+5)

Polynomial

400

What is the number in front of a variable called?

Coefficient

500

What is the equation of a line? (Slope-Intercept)

y=mx+b