Factor/ Simplify
Exponent Rules
Polynomial operations
Quadratics
Exponential Functions
100

Factor the trinomial.

x4+32x2+256

(x+16)2

100

expand the following

193-6

1/1936

100

x(7x2+4)

7x3+4x

100

How many solutions does the quadratic have if the statement below is true?

b2-4ac > 0

2

100

exponential growth looks like your __ hand.

right

200

Factor out a mononomial (find the GCF)

31a6b3+63a5

GCF: a5

Factored form: a5(31ab3+63)

200

(6x3)2

36x6

expanded power rule

200

Simplify the product

(3fg6)2(fg)4

9f6g16

200

Suppose you launch a model rocket with an upward starting velocity of v ft/s. You can use the equation h=-16t2+vt to find the rocket's altitude h feet t seconds after launch. Supposed the upward starting velocity is 160 ft/s. When will the rocket hit the ground? 

10 seconds 

200

Given f(x)=a*bx-c+d. Describe the transformation in the example below. ( v or h)

y=2*(3)-x-3

Vertical shift down 3

300

if x2+bx+c=(x+p)(x+q)

When b and c are positive, then p will be ___ and q will be ___.

When b and c are positive, then p will be positive, and q will be positive.

300

Convert from scientific notation to standard. 

3.2 x 10-7

.00000032
300

Factor out a mononomial (find the GCF)

9m4n5-27m2n3

GCF: 9m2n3

Factored form: 9m2n3(m2n2-3)

300

Solve using quadratic formula. 

2x2+7x=9

x = 1 , -9/2

300

State whether the equation represents exponential growth, decay, or neither. 

f(x)=5*.03x

exponential decay 

400

Factor the polynomial 

12x+ 34x- 12x

2x3(6x2+17x-6)

400

(-3p-5)(2p8)

-6p3

400

(6x3+2x-3)(-2x-4)

-12x4-24x3-4x2-2x+12

400

What is the best method to solve this quadratic? factoring, graphing, completing the square, square roots, or quadratic formula

5x2-13x-1=0

Quadratic formula

400

Given f(x)=a*bx-c+d. Describe the transformation in the example below. ( v or h)

y=1/2 *(2)x+5

vertical shift up 5

500

Simplify.

(6x3+8x2+8) - (7x3-7x2+3x-8)

-x3+15x2-3x+16

500

4-2

1/16

negative exponents 

500

Name the polynomial.

24x6-2x3-5

6th degree trinomial 

500

A rectangular sheet of paper has an area of 55in2. Its dimensions are (x+2) inches by (x+8) inches. What are the dimensions of sheet of paper?

5x11 inches

500

Find the balance in the account after the given period.

$2000 principal earning 5.4% compounded annually after 4 years 

$2468.27