H. Algebra 2 Review

Quadratic/Polynomial

100

Find the difference:

(x⁴+6x²-8)-(3x³-2x²+2x-3)

x⁴-3x³+8x²-2x-5

200

Is the following polynomial even, odd or neither?

-x⁴+3x³+8

Neither; has both odd and even exponents

300

Solve the system of equations graphically:

y=x²-4x+3

y=-2x-2

No real solution!

400

Use synthetic division to find the remainder:

(k³-k²-k-2)/(k-2)

Remainder is 0

500

Solve the systems of equations algebraically:

y-3x=-7

y=x²+6x-17

(-5,-22) and (2,-1)

Exponential/Logarithms

100

Evaluate:

log₂₅5

0.5 or 1/2

200

Write the following as an exponential or logarithmic equation:

lnx=4

6^x=1700

e⁴=x

log₆1700=x

300

Solve for x:

81^x-1=9

x=1.5 or 3/2

400

Rewrite the following as a single logarithm:

5log2-(4log2-log4)

log8

500

Solve for x:

log₅(x+1)+log₅x=log₅20

x=4 (-5 is extraneous)

Radicals & Rationals

100

Rewrite the cube root of x as a base with a rational exponent

x^1/3

200

List all transformations from the parent function:

h(x)=-(1/(x-1))-2

Reflection over x-axis, right 1 and down 2

300

Solve for x:

4+(x-1)^1/3=2

x=-7

400

Find the inverse of f(x), when f(x)=2x^1/2

f^-1(x)=(x/2)²

500

Solve the following for x:

(1/(x-3))=(x/(9-3x))

x=-3; 3 is extraneous 

Trigonometry

100

Name a positive and negative coterminal angle with 274

634 and -86

200

Convert 160 degrees to radians

8pi/9

300

Find sin(90)

sin(90)=1

400

Find cot(225)

cot(225)=1

500

Draw the shape of a cosine graph

Top, Middle, Bottom, Middle, Top...

Surprise!

100

What are the calculator steps to find x-intercepts on a graph?

Graph your equation, "2nd trace", "zero", "left bound", "right bound"

200

Something Mrs. Bell is bad at?

Answers may vary, but words.

300

Which team can do the tiger clap the loudest??

Based on volume

400

What percent of data falls within one standard deviation of the mean?

68%

500

Why did Mrs. Bell's dog, Lucy, refuse to drink the water with 8 ice cubes in it?

Because it was too cubed (2³) LOL