Alegebra II Jeperody

Quadratic Functions

100

Solve: x^2-5x-14=0

x=7

x=-2

200

Solve: x^2-5x=0

x=0

x=5

300

What is the point where the graph curves?

y=(x-7)^2+3

(7,3)

400

Solve :

z^2−16z+61=2z−20

z=9

500

Solve: 4x^2+24=20x

x=2

x=3

Factoring

100

Factor:  20y⁶-15y⁴+40y²

Answer: 

5y²(4y⁴-3y²+8)

200

Factor:

9m³-27m

Answer:

9m(m²-3)

300

Factor completely:

3x⁵-75x³ 

Answer:

3x³(x-5)(x+5)

400

Factor Completely:

(x²-4)(x²+6x+9) 

Answer:

(x-2)(x+2)(x+3)²

500

Factor the expression

x³-8x²-2x+16

Answer:

(x-8)(x²-2) 

Logarithms

100

Solve: log(7)49

Answer=2

200

Solve: log(8)2

Answer= 1/3

300

Rewrite the following in the form log(c) 

log(5) + log(4)

Answer= log(20)

400

Rewrite the following on log(c) form 

log(6)-log(2)

Answer= log(3)

500

Evaluate the Logarithm (change the base rule)

log(8)5≈

Answer= 0.774

Exponential Functions

100

Solve for x

(625/256)(5x−4)=1

(5x-4) is in the exponent 

x= 4/5 or 0.8

200

Solve for x

9(3x-10) = (1/81) (1/6)

(3x-10) and (1/6) are both exponent values 

x= 29/9

300

Solve for x

3(x-9) = 81 (5x+4)

(x-9) and (5x+4) are both exponential values 

x= -13/19

400

solve for x

56(3x-8) =1

(3x-8) is an exponential value 

x= 8/3

500

Solve for x

(1/64) (-8x+3) = (1/16) (7x-2)

(-8x+3) and (7x-2) are both exponential values 

x=13/38

Synthetic Division

100

Simplify this division problem 

x⁴ +5x³+3x²/x

Answer=x³+5x²+3x

200

Simplify the division problem 

x²+x-6 / x+3

Answer= x-2

300

Simplify the division problem 

3x³+10x²+7x / x+1

Answer= 3x²+7x

400

Simplify this division problem (will have remainder) 

x²-7 / x+3

Answer= x-3+2 / x+3

500

Simplify division problem (will have remainder) 

x²+5x+5 / x+3

Answer= x+2+ -1/x+3