Algebra II Final Review

Algebra 1 / Geometry Review

100

Find the slope of (6,2) and (12, 14).

2

200

Solve for x:

80 = 43x - 6 

x = 2

300

What do you have to do when you divide by a negative in an inequality?

flip the sign

400

Solve the inequality:

12x - 4 < 32

x < 3

500

Solve the system of equations:

2x + y = -11

3x - y = -29

(-8,5)

Invereses

100

How do you find the inverse of a fraction?

Multiply by the reciprocal

200

Name the steps to finding the inverse of a graph.

1. Find two points and write each as an ordered pair

2. switch the x and y value inside each ordered pair

3. graph the new points and draw the line

300

Find is the inverse:

f(x) = 33x - 44

f^-1(x) = (x + 44) / 33

400

What happens to the domain and range when you find an inverse?

they switch

500

Find the inverse:

f(x) = 2x² - 12

f^-1(x) = sqrt((x + 12)/2)

Exponents

100

Write the exponent in expanded form:

12x⁹

12xxxxxxxxx

200

What are exponential functions the inverse of?

logarithms

300

Anything to what power is 1?

0

400

Write the following in expanded form:

(12xy)²

(12)(12)(x)(x)(y)(y)

500

What is the name of the property shown below:

x^ab = (x^a)^b

Power of a Power Property

Logarithms

100

Rewrite the log as an exponent:

log_b c = 17

b¹⁷ = c

200

Expand the log:

log (12xy)

log12 + logx + log y

300

Solve the log:

log₃81

4

400

Condense the log:

log 21 + 4log x - mlog y

log (21x⁴)/y^m

500

What is the standard base for a log?

10

Polynomials

100

Name the polynomial by degree and number of terms:

3x³ + 22x² - 29

Cubic Trinomial

200

Add the polynomials:

(6x² + 12) + (12x² - 1x - 22)

18x² - 1x - 10

300

Subtract the polynomials:

(99x² + 2x + 12) - (23x² -14x - 2)

76x² + 16x + 14

400

Multiply the polynomials:

(a + b) (a + b)

a² + 2ab + b²

500

Multiply the polynomials:

(3x² + 2x - 12) (2x +3)

6x³ + 13x² + 18x -36