Essential
Skills
Systems
Functions &
Inequalities
Quadratics
Potpourri
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Essential
Skills
Systems
Functions &
Inequalities
Quadratics
Potpourri
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Essential Skills - $100
There is the same number of boys and girls
on a school bus when it departs from
school. At the first stop, 4 boys get off the
bus and nobody gets on. After the first
stop, there are twice as many girls as boys
on the bus. How many girls are on the bus?
Essential Skills - $100 Answer
8
Essential Skills - $200
In the figure below, three line segments meet
at a point to form three angles. What is the
value of x? (Not drawn to scale.)
2x
 4 x   3x 
Essential Skills - $200 Answer
3
Essential Skills - $300
If p is an integer and 3 is the remainder when
2p + 7 is divided by 5, then p could be
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Essential Skills - $300 Answer
(B) 3
Essential Skills - $400
1
If x  , what is the
2
1
1
value of 
?
x x 1
Essential Skills - $400 Answer
0
Essential Skills - $500
How old was a person exactly 1 year
ago if exactly x years ago the person
was y years old?
Essential Skills - $500 Answer
y  x 1
Systems - $100
If 2r  5s and 5s  6t,
what does r equal in terms of t?
Systems - $100 Answer
3t
Systems - $200
For how many ordered pairs of
positive integers (x, y) is
2 x  3 y  6?
Systems - $200 Answer
one
Systems - $300
What is the value of k that
satisfies both equations below?
10  k  3
k5 8
Systems - $300 Answer
13
Systems - $400
Edna and Nancy leave the house of a common friend
at the same time and walk for 4 hours. Edna walks due
east at the average rate of 4 kilometers per hour and
Nancy walks due north at the average rate of 3 kilometers
per hour. What is the straight-line distance between
them, in kilometers, at the end of the 4 hours?
Systems - $400 Answer
20
Systems - $500
In the xy-plane, line l passes through
the origin and is perpendicular to the
line 4x + y = k, where k is a constant.
If the two lines intersect at the point
(t, t + 1), what is the value of t?
Systems - $500 Answer
4

3
Functions & Inequalities - $100
The figure below shows the graph of the function h.
Which of the following is closest to h(5)?
(A)
(B)
(C)
(D)
(E)
1
2
3
4
5
Functions & Inequalities - $100 Answer
(B) 2
Functions & Inequalities - $200
In the xy-coordinate plane, line l is perpendicular to
the y-axis and passes through the point (5, −3).
What is an equation of line l?
Functions & Inequalities - $200 Answer
y = –3
Functions & Inequalities - $300
The total daily profit p, in dollars, from producing
and selling x units of a certain product is given by the
function p(x) as defined below, where b is a constant.
If 300 units were produced and sold yesterday for a
total profit of $1,900, what is the value of b?
Functions & Inequalities - $300 Answer
200
Functions & Inequalities - $400
A regulation for riding a certain amusement park
ride requires that a child be between 30 inches
and 50 inches tall. Write an absolute value
inequality that can be used to determine whether
0r not a child’s height h satisfies the regulation
for this ride.
Functions & Inequalities - $400 Answer
Functions & Inequalities - $500
Functions & Inequalities - $500 Answer
(E) −8 ≤ xy ≤ 24
Quadratics - $100
For what value of x is the statement above FALSE?
(A)
(B)
(C)
(D)
(E)
−3
0
1/3
1
For no value of x
Quadratics - $100 Answer
(B) 0
Quadratics - $200
The figure above shows the graph of a quadratic
function f that has a minimum at the point (1, 1).
If f(b) = f(3), what is the value of b?
Quadratics - $200 Answer
1
Quadratics - $300
Q
R
P
S
In the figure above, PQRS is a rectangle, and
points Q and R lie on the graph of y = ax2,
where a is a constant. If the perimeter of
PQRS is 10, what is the value of a?
Quadratics - $300 Answer
3
Quadratics - $400
*Daily Double!*
x
0
1
2
3
f(x)
1
2
5
10
The table above gives values of the quadratic
function f for selected values of x. Write the
quadratic function that defines f.
Quadratics - $400 Answer
Quadratics - $500
At time t = 0, a ball was thrown upward from an
initial height of 6 feet. Until the ball hit the ground,
its height, in feet, after t seconds was given by the
function h below, in which c and d are positive
constants. If the ball reached its maximum height of
106 feet at time t = 2.5, what was the height, in
feet, of the ball at time t = 1?
Quadratics - $500 Answer
70
Potpourri - $100
According to a certain recipe, 25 pounds of
flour are needed to make 300 rolls.
At this rate, how many pounds of flour are
needed to make 12 rolls?
Potpourri - $100 Answer
1 pound
Potpourri - $200
Potpourri - $200 Answer
20
Potpourri - $300
A “simple square” is any integer greater than 1
that has only three positive integer factors –
itself, its square root, and 1. Which of the
following is a simple square?
(A)121
(B) 100
(C) 81
(D) 64
(E) 33
Potpourri - $300 Answer
(A) 121
Potpourri - $400
The perimeter of a rectangular plot of land is
250 meters. If the length of one side of the plot
is 40 meter, what is the area of the plot, in
square meters?
Potpourri - $400 Answer
3400
Potpourri - $500
If p, r, and s are three different prime numbers
greater than 2, and n = p × r × s, how many positive
Factors, including 1 and n, does n have?
Potpourri - $500 Answer
8
Final Jeopardy Category:
Systems
Final Jeopardy Question
A school ordered $600 worth of lightbulbs.
Some of the lightbulbs cost $1 each and
the others cost $2 each. If twice as many $1
bulbs as $2 bulbs were ordered, how many
lightbulbs were ordered altogether?
Final Jeopardy Answer
450