Essential
Skills
Linear
Systems &
Equations
Matrices & Functions
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
Linear
Essential Systems & Equations
Matrices & Functions
Skills
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
Point A is to be graphed in a quadrant, not
on an axis, of the standard (x, y) coordinate
plane. If the x-coordinate and the
y-coordinate have opposite signs, then
point A must be located in what
quadrant(s)?
Essential Skills - $100 Answer
Quadrant II or IV only
Essential Skills - $200
If a  b  2, then
b  a 
4
?
Essential Skills - $200 Answer
16
Essential Skills - $300
If 12 x   8  10  x  , then x  ?
Essential Skills - $300 Answer
−20
Essential Skills - $400
Mr. Dietz is a teacher whose salary is $22,570 for
this school year, which has 185 days. In Mr.
Dietz’s school district, substitute teachers are paid
$80 per day. If Mr. Dietz takes a day off without
pay and a substitute teacher is paid to teach Mr.
Dietz’s classes, how much less does the school
district pay in salary by paying a substitute teacher
instead of paying Mr. Dietz for that day?
Essential Skills - $400 Answer
$42
Essential Skills - $500
Members of the fire department lean a 30-foot
ladder against a building. The side of the
building is perpendicular to the level ground so
that the base of the ladder is 10 feet away from
the base of the building. To the nearest foot,
how far up the building does the ladder reach?
Essential Skills - $500 Answer
28
Systems & Matrices - $100
W hat is the x -coordinate of the
point in the standard
 x, y 
coordinate plane at w hich the 2 lines
y  2 x  6 and y  3 x  4 intersect?
Systems & Matrices - $100 Answer
2
Systems & Matrices - $200
W hat is the value of
2x
3y
5x
4y
w hen x   3 and y  2 ?
Systems & Matrices - $200 Answer
42
Systems & Matrices - $300
What system of inequalities is
represented by the shaded region of
the graph below?
Systems & Matrices - $300 Answer
y   2 x and x  3
Systems & Matrices - $400
What expression must the center element of the matrix
below contain so that the sums of each row, each
column, and each diagonal are equivalent?
 x

2 x

 7 x
8x
?
4 x
3x 

6x

3 x 
Systems & Matrices - $400 Answer
2x
Systems & Matrices - $500
The cost of a hamburger and a soft
drink together is $2.10. The cost of 2
hamburgers and a soft drink together is
$3.50. What is the cost of a soft drink?
Systems & Matrices - $500 Answer
$ 0 .7 0
Linear Equations & Functions - $100
W hat is the slope of any line
parallel to the line 7 x  9 y  6 ?
Linear Equations & Functions - $100 Answer

7
9
Linear Equations & Functions - $200
What is the slope-intercept form of
8x – y – 6 = 0?
Linear Equations & Functions - $200 Answer
y = 8x – 6
Linear Equations & Functions - $300
The length L, in meters, of a spring is given by the
equation below, where F is the applied force in
newtons. What force, in newtons, must be applied
for the spring’s length to be 0.18 meters?
L
2
3
F  0.03
Linear Equations & Functions - $300 Answer
0.225
Linear Equations & Functions - $400
What is the y-intercept of the line in the standard
(x, y) coordinate plane that goes through the points
(−3, 6) and (3, 2)?
Linear Equations & Functions - $400 Answer
4
Linear Equations & Functions - $500
A restaurant occupying the top floor of a
skyscraper rotates as diners enjoy the view.
Ling and Sarah notice that they began their
meal at 7:00 P.M. looking due north. At 7:45
P.M. they had rotated 180° to a view that was
due south. AT this rate, how many degrees
will the restaurant rotate in 1 hour?
Linear Equations & Functions - $500 Answer
240°
Quadratics - $100
2
x  36 x  0
What is the solution set to the equation above?
Quadratics - $100 Answer
 0,
3 6
Quadratics - $200
If a rectangle measures 54 meters by 72 meters,
what is the length, in meters, of the
diagonal of the rectangle?
Quadratics - $200 Answer
90
Quadratics - $300
Sketch the graph of the function f(x) as
defined below.
 x  2 for x  1

f  x    x  7 for 1  x  5
 4  x for x  5

2
Quadratics - $300 Answer
Quadratics - $400
*Daily Double!*
If (x – 7) is a factor of
2x2 – 11x + k,
what is the value of k?
Quadratics - $400 Answer
 21
Quadratics - $500
Which of the following quadratic equations has
solutions x = 6a and x = −3b?
F. x  18 ab  0
2
G . x  x  3 b  6 a   18 ab  0
2
H . x  x  3 b  6 a   18 ab  0
2
I. x  x  3 b  6 a   18 ab  0
2
J. x  x  3 b  6 a   18 ab  0
2
Quadratics - $500 Answer
J. x  x  3 b  6 a   18 ab  0
2
Potpourri - $100
2
1

 x  y  ?
2

Potpourri - $100 Answer
1
4
x  xy  y
2
2
Potpourri - $200
If f
x 
x  x5
and g  x  
2
x , then
w hat is the value of
g 4
f 1 
?
Potpourri - $200 Answer
2
7
Potpourri - $300
The temperature, t, in degrees Fahrenheit, in a
certain town on a certain spring day satisfies the
inequality shown below. Write a compound
inequality that shows the temperatures, t, in
degrees Fahrenheit, that satisfy this range.
t  24  30
Potpourri - $300 Answer
6  t  54
Potpourri - $400
The normal amount of lead in a certain water supply is
1.5 × 10−5 milligrams per liter. Today, when the water
was tested, the lead level found was exactly 100 times
as great as the normal level, still well below the EPA’s
action level. What concentration of lead, in milligrams
per liter, was in the water tested today?
Potpourri - $400 Answer
1.5  10
3
Potpourri - $500
A certain perfect square has exactly 4 digits (that is,
it is an integer between 1,000 and 9,999).
The positive square root of the perfect square must
have how many digits?
Potpourri - $500 Answer
2
Final Jeopardy Category:
Linear Equations
Final Jeopardy Question
Kaya drove 200 miles in 5 hours of actual
driving time. By driving an average of 10
miles per hour faster, Kaya could have saved
how many hours of actual driving time?
Final Jeopardy Answer
1