Algebra 1 Review

Quadratic Equations

100

k² - 64=0

8, -8

200

z² + 13z + 42 = 0

-6, -7

300

w² - 6w - 72 = 0

-6, 12

400

h² + 4h - 5 = 0

-5, 1

500

y² - 8y = 0

0, 8

Vocabulary

100

Irrational number

A number that cannot be expressed as a fraction.

Or

A non-terminating, non-repeating decimal.

200

Standard form

A polynomial that written with terms arranged from largest exponent to smallest exponent.

300

Degree of a polynomial

The largest exponent in the polynomial

400

Median and mode

Median is the middle number

Mode is the value that occurs most often

500

Leading coefficient

The number in front of the term with the highest exponent

Equations/inequalities

100

Solve for x: -3(x + 2) = 12

x= - 6

200

Solve for x: 2x - 7 > 2.5x + 3

x < - 20

300

Solve for x: -2(x - 3) = 3x - 4

x=2

400

Solve for x: (2/3)(3 - 2x) = (3/4)

15/16

500

7x - 3(4x - 8)<=6x + 12 - 9x

x>=6

Polynomials

100

What is the degree of the polynomial: 

5x - 3x² - 1 + 7x³

3

200

(5x² + 7x - 8) + (-8x² - 9x - 10)

-3x² -2x - 18

300

Simplify: (-x² +3x - 7) - (4x² + 5x - 2)

-5x² - 2x - 5

400

(x - 2)( x + 5)

x²+3x-10

500

Find the product: (x - 2)(2x²+3x-1)

2x³- x² -7x + 2

Factoring

100

b² + 8b + 7

(b+7)(b+1)

200

n²-11n+10

(n-10) (n-1)

300

2m⁴+6m²

2m²(m² + 3)

400

b² - 144

(b - 12)(b + 12)

500

3p³+9p² - 12p

3p(p²+3p-4)