EOC review

Factor/ Simplify

100

Factor the trinomial.

x⁴+32x²+256

(x+16)²

200

Factor out a mononomial (find the GCF)

31a⁶b³+63a⁵

GCF: a⁵

Factored form: a⁵(31ab³+63)

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.

400

Factor the polynomial 

12x⁵ + 34x⁴ - 12x³ 

2x³(6x²+17x-6)

500

Simplify.

(6x³+8x²+8) - (7x³-7x²+3x-8)

-x³+15x²-3x+16

Exponent Rules

100

expand the following

193^-6

1/193⁶

200

(6x³)²

36x⁶

^{expanded power rule}

300

Convert from scientific notation to standard. 

3.2 x 10^-7

.00000032

400

(-3p^-5)(2p⁸)

-6p³

500

4^-2

1/16

negative exponents 

Polynomial operations

100

x(7x²+4)

7x³+4x

200

Simplify the product

(3fg⁶)²(fg)⁴

9f⁶g¹⁶

300

Factor out a mononomial (find the GCF)

9m⁴n⁵-27m²n³

GCF: 9m²n³

Factored form: 9m²n³(m²n²-3)

400

(6x³+2x-3)(-2x-4)

-12x⁴-24x³-4x²-2x+12

500

Name the polynomial.

24x⁶-2x³-5

6th degree trinomial 

Quadratics

100

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

b²-4ac > 0

2

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 

300

Solve using quadratic formula. 

2x²+7x=9

x = 1 , -9/2

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

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

Exponential Functions

100

exponential growth looks like your __ hand.

right

200

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

y=2*(3)^-x-3

Vertical shift down 3

300

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

f(x)=5*.03^x

exponential decay 

400

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

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

vertical shift up 5

500

Find the balance in the account after the given period.

$2000 principal earning 5.4% compounded annually after 4 years 

$2468.27