M^2ANS

Quadratic Equations

100

x²-4x+3 = 0 what are the zeros

x = 1 

and 

x = 3

200

2x²+3x+2 = 0, what is the sum of the solutions 

-3/2

300

3x²+28x+49 > 0 what is the solution set to the inequality?

All real numbers except -7

400

what is a if ax²+4x-16 = 0 and x = -4 and x = 2?

a = 2

500

if u+t = x+5 and u-t = 3x+7, what is the zeros of u²-t²?

x = -5

and

x = -7/3

Logarithms

100

Write in logarithmic form

16^3/4 = 8

answer: log₁₆8 = 3/4

200

Write in exponential form

log_1/51/625 = 4

(1/5)⁴ = 1/625

300

log₂5 + log₂x = log₂(x + 20)

x = 5

400

Combine into a single logarithm with a coefficient of one

2log₄x + 5log₄y - 1/2log₄z

answer: log₄(x²y⁵/√z)

500

log₂K = 2log₂6 + log₂10 - 3

K = 45

Square Root Func

100

Describe the translations of the functions. 

\sqrt{x+7}+3

Translates left 7 and up 3

200

Find the domain and range of the function.

\sqrt{x-3}-4

Domain: x > 3

Range: y > -4

300

What is the inverse of a square root? 

x^2

400

Find the X and Y intercepts of 

\sqrt{7x+2}

x = (2/7, 0) 

y = (0,\sqrt{2})

500

Find the inverse of 

\sqrt(4x + 5)

(x^(2)-5)/(4)

Absolute Value Func

100

Describe the graph of: y = |x - 5| + 1

5 units to the right, 1 unit up

200

The point of intersection of the two lines which intersect creating a "V" in an absolute value graph is called

Vertex

300

What is the vertex of 

y=|x - 9| + 7

(9,7)

400

Solve for x.

|7x - 12| = 23

x = 5, -11/7

500

Solve the inequality

|18 - 4x| + 4 ≤ 12

x = 5/2 ≤ x ≤ 13/2

Functions

100

Is this a function?

X_Y

-2_3

0_2

-1_-1

3_2

-2_0 

Yes.

200

what is the transformation of f(x)=(x+4)²+3?

three up; four left

300

(24x²y⁵)/(-3x⁵y³)

(-8y²)/(x³)

400

What method of factoring would be used of this function: 

3x²-39x³+108x²

grouping

500

what is the degree of the polynomial function 

f(x)= 3x⁴ -2x³ +5x² -7x +1

4.