Exponents
Polynomials
Graphing
Solving
Misc.
100

Simplify the expression (5x3)(-2x4)

-10x7

100

Write the polynomial in standard form: -4x + x2 + 13x -25x3

-25x3 + x2 + 9x

100

What is the first step to graphing in standard form y = ax2+bx+c?

Finding the vertex (x = -b/2a)

100

Solve for x using any method: x2+2x+5 = 8

x = -3, 1

100

Find the inverse of the relations: (1, -10) (3, 4) and (5, 4)

(-10, 1) (4, 3) and (4, 5)

200

What is the degree of this polynomial: 5t2-13t3+1

3

200

Find the difference: (x2+1-x) - (3x2-1+4x)

-2x2-5x+2

200
Draw a basic example graph of a quadratic function.

downward or upward parabola

200

Solve the equation: -2x = 6x2

x= 0, -1/3

200

Create a table of values that represent a quadratic function

[teacher will check your solution]

300

Evaluate the expression 16-1/2

1/4

300

Factor the polynomial: 3x2-3x-6

3(x-2)(x+1)

300

Compare y = -(x+3)2+4 to the parent function y = x2

reflect over the x-axis, shift 3 units left, and shift 4 units up

300

Solve using the quadratic formula: 5x+ x = 4

x = 4/5, 1

300

Identify if the sequence is arithmetic or geometric. Then find the common difference or ratio: 1, -5, 25, -125, ...

geometric; common ratio = -5

400

Find the product: (x2+2)(3x-5)

3x3-5x2+6x-10

400

Solve the polynomial equation: 6x2 - 5 = -13x

x = -5/3 and 1/3

400

Find: (1) vertex, (2) axis of symmetry, (3) y-intercept, (4) domain, and (5) range for: y = -(x+3)2+4

(1) (-3, 4)

(2) x = -3 

(3) y-int: (0, -5)

(4) domain: all real #'s

(5) range: y is less than or equal to 4

400

Solve the equation 162x+1 = 32x+4

x = 16/3

400

Find the inverse of the polynomial: y = -5x + 10

y-1 = (x-10)/-5

500

Simplify the expression: (45/7y)1/2

3rad(35y) / 7y

500

Find the product: (3x2-7x-2)(4x+1)

12x- 25x- 15x - 2

500

Solve this system by graphing: 

y = x- 2x - 3

y = 2x - 3

(0, -3) and (4, 5)

[teacher will check graphs]

500

Solve the system using substitution: 

y = -x2 + 5x + 6 

y = x + 6

(0, 6) and (4, 10)

500

Factor the polynomial: 2x+ x- 18x - 9

(x+3)(x-3)(2x+1)