ALGEBRA I & II
GEOMETRY
STATS & PROBABILITY
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100
The point(s) where a graph crosses the y-axis.
What is the y-intercept?

Follow-up:

Find the x- and y- intercepts of the graph:

6x-2y=30

100
Relationship of a right triangle's two legs and its hypotenuse.
What is the PYTHAGOREAN THEOREM?

Follow-up:

A right triangle's hypotenuse has length 8. If one leg has length 3, what is the EXACT measure of the other leg?

100
Statistical measure that represents the number that appears most in a set of data.
What is the MODE?

Follow-up:

Given the set of 10 values:

3, 7, 2, 5, 12, 7, 6, 3, 7, 8

Calculate the MEAN, MEDIAN and MODE:

log (base 2) (1/64)?

100
The inverse function, or inverse operation, of an exponential function.
What is a LOGARITHMIC FUNCTION?

Follow-up:

What is the value of:

log (base 2) (1/64)?

100
Type of sequence where each term is separated by a common difference (d).
What is an ARITHMETIC SEQUENCE?

Follow-up:

What is the nth term of the arithmetic series:

2 + 5 + 8 + 11 + ...

200
The process of breaking a polynomial down into parts that when multiplied together give the original polynomial.
What is FACTORING?

Follow-up:

Completely factor:

x^3 - 5x^2 y + 6xy^2

200
4(pi)r^2

(this is a formula for...)

What is the SURFACE AREA of a SPHERE?

Follow-up:

A basketball has a diameter of about 10 inches.

What is the approximate SA (rounded to hundredths), in square inches?

200
Type of permutation used when order is not important.
What is a COMBINATION?

Follow-up:

In Pennsylvania, the Amish have license plates

that have 3 alpha-numeric characters (letters or numbers).

The first 2 characters must be a letter (A-Z), no repeats,

and the last character must be a number (0-9).

How many possible license plates exist?

200
Allows us to rewrite any logarithm into a form more suitable for a scientific calculator.
What is CHANGE OF BASE FORMULA?

Follow-up:

What is the solution to the equation:

4^x = 24?

(give decimal answer to 2 decimal places.)

200
When a finite number of terms of an infinite series are added together.
What is a PARTIAL SUM?

Follow-up:

What is the sum of the infinite geometric series:

8 + 4 + 2 + 1 + .5 + ...

300
Pairs of values such as (3+i) and (3-i)
What are CONJUGATE PAIRS?

Follow-up:

What is an equivalent form of 3/(4-i)?

300
(pi)d, or 2(pi)r
What is CIRCUMFERENCE of a CIRCLE?

Follow-up:

If a cylindrical can measures 25 inches in diameter, how many inches will it roll in 10 revolutions along a smooth surface?

300
When the occurrence of one event does not affect the probability of the other.
What is an INDEPENDENT EVENT?

Follow-up:

One bag contains 3 green marbles and 4 white marbles.

A second bag contains 4 green marbles and 5 white marbles.

If a marble is drawn from each bag, what is the probability that they are both green?

300
The minimum, or maximum point of a parabola.
What is the VERTEX?

Follow-up:

Find the vertex of f(x) = x^2 - 8x + 2

300
The time it takes for 50% of a substance to decay.
What is HALF-LIFE?

Follow-up:

An odor has a 'half-life' of 6 minutes.

If 6000 cubic centimeters is released, how much would remain after 25 minutes?

(round answer to 2 decimal places)

400
Two lines that have slopes that are 'negative reciprocals' of each other.
What are PERPENDICULAR lines?

Follow-up:

Give TWO equations, both in y=mx+b form, FIRST of a line PARALLEL to, SECOND, PERPENDICULAR to the line

y = -4x + 2

400
A line segment of a circle whose endpoints both lie on the circle.
What is a CHORD?

Follow-up:

A circle has 2 chords, AB and XY, that intersect at M.

If AM = 5, MB = 14, and XM = 7, what is the length of MY?

(a picture would probably help...)

400
When two independent events have no effect on one another.
What is MUTUALLY EXCLUSIVE?

Follow-up:

On April 25th, the chance of rain is 10% in Sacramento

and 80% in Chicago.

Assume the chance of rain in the two cities is independent.

What is the probability that it will not rain in either city?

400
This is a special factorization that allows us to

factor polynomials of the form x^3 + y^3.

What is SUM OF TWO CUBES?

Follow-up:

Factor:

64a^3 + b^3

400
Method that can solve ANY quadratic equation.
What is the QUADRATIC FORMULA?

Follow-up:

Solve:

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

500
The first step in solving the equation:

1/A + 1/B = 1/T

What is FIND COMMON DENOMINATORS?

Follow-up:

Mr. Lam can eat a box of popcorn in 30 minutes, while Mr. Andrews takes 20 minutes. How long would it take both of them to eat the box of popcorn, assuming their same rates?

500
Two identical objects that have the same shape. More precisely, one can be obtained from the other by uniformly 'scaling'.
What are SIMILAR SHAPES?

Follow-up:

The perimeters of two squares are in a ratio of 2 to 3. What is the ratio between the areas of these two squares?

500
Value that shows how much variation or dispersion exists from the average (mean), or expected value.
What is STANDARD DEVIATION?

Follow-up:

Given a list of 4, 5, 6, 9, 13

(mean is about 7)

Which value best estimates the standard deviation for the data?:

A) 3.3 B) 7.4 C) 10.8 D) 13.5

500
Use of n equations to simultaneously solve for n variables.

(Where n is more than 1; according to the Fundamental Theorem of Algebra)

What is a SYSTEM OF EQUATIONS?

Follow-up:

Solve the system:

x + y + z = 9

2x - y + 2z = 15

3x - 2y - 4z = 8

500
A 40-year old, formerly involved with the school athletics, and proud alumni of JFK that has come back to serve his school...
Who is MR. SWEITZER?

Follow-up:

Beth is two years older than Julio. Gerald is twice as old as Beth.
Debra is twice as old as Gerald. The sum of their ages is 38. How old is Beth?

(A) 3 (B) 5 (C) 6 (D) 8

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