Alg 2 Final Review

Chapters 1 & 2

Chapter 4,5,6

Chapter 3

Chapter 7 & 9

Chapter 10 and 11

100

Is this a linear function:

y=x²+ 3x + 2

No, exponent

100

Factor this trinomial to solve for the zeros

x^{2 -}12x + 32

x = 4

x = 8

100

What is the index of the cubed root of 8.

100

9^2x+5=27^3x

x = 2

100

simplify:

(x²- 25)/(x+5)

x-5

200

What is the slope of this equation:

y=-5x - 4

m=-5

200

Add these polynomials

(4x²-3x) + (-2x²-4x + 6)

2x²-7x+6

200

What is the radicand of the square root of 25

200

Is this exponential growth or decay:

y=5000(0.25)^x

Decay (0.25) less than 1

200

Divide:

(24a²b³)/(4) / (3ab)/2)

4ab²

300

What are the x and y intercepts of this table

X Y

0 100

1 75

2 50

3 25

4 0

x - int (4,0)

y - int (0,100)

300

Subtract these polynomials

(8y²+4x-3) - (-2y²+ 3x + 9)

10y²+x-12

300

square root of 50 + 2 times the square root of 8?

9 times the square root of 2

300

Write as a logarithmic function

5³=125

log₅(125) = 3

300

What quadrant do you end up in 250 degree rotation

Quadrant 3

400

Solve the following equation for x:

4x - 5 = 3(x + 12)

x = 31

400

Solve this quadratic equation for its zeros:

7x²+26x+15 = 0

x = -3

x = -5/7

400

Solve the squared root equation:

square root of 2x + 4 = 16

x = 0

x = -4

400

Write in expanded form:

log₅(4xy)

log₅(4) + log₅(x) + log₅(y)

400

If the points (5,12) lie on a coordinate plane solve for r.

square root of 5² + 12²= r

r = 13

500

What is the domain and range of this function:

F(x) = 4x + 2

D: (- infinity, + infinity)

R: (- infinity, + infinity)

500

Solve by grouping

3x²+ 9x - 4x + 12 = 0

x = -3

x = 3/4

500

f(x) = 4x - 2

g(x) = 3x² - 4

(f of g)

12x² - 18

500

Convert to logarithmic form:

5^x+10 = 25

log₅(15) = x

log(15)/log(5) = 1.68

500

If triangle ABC is a right triangle and leg AB is 10 and leg BC is 5, what is the length of the hypotenuse AC?

Write in simplest radical form

5 square root of 5