Algebra 1

Solving Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 15x - 7 = 2x + 6

x = 1

300

Solve: 21 + x = 2(x - 6)

x = 33

400

Solve: x² - 5 = 11

x = -4,4

500

Solve: x² - 7x + 10 = 0

x = 5

x = 2

Functions

100

 Is this a function:

 {(1, 2), (2, 3), (2, 4)} 

No

200

 simplify: 3(6wd - 3) + 3wd 

Algebra: 21wd - 9 

300

 Solve for a: 

ax + b = c 

Algebra: a = (c - b)/x 

400

 a(b - c) - 2a(c + b)

-1ab - 3ac

500

 What's the domain of x = 3? 

Algebra: 3 

Linear Equations

100

What is the equation for the slope-intercept.

Algebra: y= mx + b

200

Write the following equation in slope-intercept form:  5(x + 2y) = 20

y = -1/2x + 2

300

Write the following equation in Standard Form:

y=-2/3x+4

2x + 3y = 12

400

What is this linear form called?

y - y₁ = m(x - x₁)

Point - Slope Form

500

Write the equation of this graph in slope-intercept form:

y = -4x -14

Slope

100

Find the slope: 

2(3x - y)  = -10 

m = 3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

What is the slope of the line perpendicular to 3x+2y=12

2/3

400

What is the slope of the line x=4

undefined

500

 What's the slope of the line passing through (3,9) (5,4)

slope: -5/2

Multiplying Polynomials

100

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

6x²-11x-10

200

(x+3)(x-3)

x²-9

300

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

12x²+23xy+20y²

400

(3x+2)²

9x²+12x+4

500

(-3x+7)(2x²-5x+4)

-6x³+29x²-47x+28

Factoring

100

x^2-x-12

(x-4)(x+3)

200

x²+8x+7

(x+1)(x+7)

300

x^2-49

(x+7)(x-7)

400

x²+2x-35

(x+7)(x-5)

500

3x² - 7x - 20

(3x + 5)(x - 4)

Quadratic Formula

100

9x²-7x-4=0

(7+sqrt(193))/18 and (7-sqrt(193))/18

200

8x²+7x-8=0

(-7+sqrt(305))/16 and (-7-sqrt(305))/16

300

9x²+4x-16=0

(-2+2sqrt(37))/9 and (-2-2sqrt(37))/9

400

9x²-6x-11=0

(1+2sqrt(3))/3 and (1-2sqrt(3))/3

500

4x²-x-8=0

(1+sqrt(129))/8 and (1-sqrt(129))/8