Algebra II - Final Review

Question 1

To find the axis of symmetry of a quadratic equation in standard form...

Accepted Answer

...use x = -b/2a

Question 2

Exponential growth or decay equation:

Accepted Answer

y = a(1 ± r)t

Question 3

The _____ Property is used to solve an equation in the form (x + 3)(x - 9) = 0

Accepted Answer

Zero Product

Question 4

Point-slope form of a linear equation

Accepted Answer

y - y1 = m(x - x1)

Question 5

To factor x2 + 3x - 18...

Accepted Answer

...find numbers that multiply to be -18 and add to be 3.

Question 6

In a box-and-whisker plot...

Accepted Answer

...each piece of the plot contains 25% of the data., ...the middle 50% of the data is in the box.

Question 7

To rewrite a logarithm in exponential form...

Accepted Answer

...logab = c becomes ac = b.

Question 8

When there is a negative under the square root...

Accepted Answer

...we can simplify with i = √-1.

Question 9

logab + logac = ?

Accepted Answer

logabc

Question 10

________ is not a method of data collection.

Accepted Answer

biased cluster sample

Question 11

When graphing an inequality in two variables on the coordinate plane...

Accepted Answer

...we shade where the ordered pairs work., ...we use a dashed line for <> and solid line for ≥≤.

Question 12

For all quadratic functions opening upward, the domain is ____ and the range is _____.

Accepted Answer

all real numbers, y ≥ the y coordinate of the vertex

Question 13

A permutation...

Accepted Answer

...is given by the formula nPr = n! / (n - r)!, ...is an arrangement in which order matters.

Question 14

When simplifying a power to a power...

Accepted Answer

...we multiply the exponents

Question 15

To solve a system of 3 equations by elimination the key is...

Accepted Answer

...to make a plan using A, B, and C., ...to add 2 pairs of equations, making same variable cancel.

Question 16

To solve by completing the square...

Accepted Answer

...we add (b/2)2 to both sides.

Question 17

Name the vertex of y = (x - 4)2 + 3

Accepted Answer

(4, 3)

Question 18

Probability is...

Accepted Answer

...what we want over the total things that could happen., ...measured from 0 (impossible) to 1 (certain).

Question 19

Slope is...

Accepted Answer

m = (y2 - y1) / (x2 - x1), rise / run

Question 20

The formula for the probability of independent events is...

Accepted Answer

P(A and B) = P(A) ⋅ P(B)

Question 21

______ is not a sampling method.

Accepted Answer

Simulation

Question 22

Finding the standard deviation of a data set can be summarized by...

Accepted Answer

...mean, differences, square, mean, square root

Question 23

The x-intercept(s) of a quadratic equation are found...

Accepted Answer

...by looking at where the graph crosses the x-axis., ...by putting in 0 for y in the equation.

Question 24

Data about a population is a ____. Data about a sample is a ____.

Accepted Answer

parameter, statistic

Question 25

Most calculators can't calculate logs with bases other than _ & _, we can use the _ for others.

Accepted Answer

10, e, Change of Base Formula

Question 26

Horizontal transformation

Accepted Answer

y = f(x - h)

Question 27

To rewrite a fractional exponent...

Accepted Answer

...the bottom number is the root and top is the exponent., ...remember the roots are in the ground.

Question 28

The areas under the normal curve from left to right are...

Accepted Answer

...0.15%, 2.35%, 13.5%, 34%, 34%, 13.5%, 2.35%, 0.15%

Question 29

To solve an equation with variables in the exponent(s)...

Accepted Answer

...take the logarithm of both sides of the equation., ...rewrite both sides using the same base.

Question 30

When taking roots to solve an equation...

Accepted Answer

...we need ± for even roots.

Question 31

The discriminant...

Accepted Answer

...tells the no. & type of solutions of a quadratic equation, ...is b2 - 4ac., ...is found under the square root of the quadratic formula.

Question 32

The minimum or maximum of the quadratic function is found...

Accepted Answer

...by looking at the y coordinate of the vertex.

Algebra II - Final Review

Questions 32

Algebra II - Final Review

Questions 32