100 400 500 400 500 400 500 300 200 100 essential skills systems & matrices linear equations...

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Essential

Skills

Systems &

Matrices

Linear Equations

& Functions

Quadratics

Potpourri

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 they-coordinate have opposite signs, then point A must be located in what quadrant(s)?

Essential Skills - $100 Answer

Quadrant II or IV only


4If 2, then ?a b b a


16


If 12 8 10 , then ?x x x


−20


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?


$42


Members of the fire department lean a 30-footladder against a building. The side of the building is perpendicular to the level ground sothat 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?


28

Systems & Matrices - $100

What is the -coordinate of the

point in the standard ,

coordinate plane at which the 2 lines

2 6 and 3 4 intersect?

x

x y

y x y x

Systems & Matrices - $100 Answer

2


What is the value of

2 3

5 4

when 3 and 2?

x y

x y

x y


42


What system of inequalities is represented by the shaded region of the graph below?


2 and 3y x x


What expression must the center element of the matrix below contain so that the sums of each row, eachcolumn, and each diagonal are equivalent?

8 3

2 ? 6

7 4 3

x x x

x x

x x x


2x


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?


$0.70

Linear Equations & Functions - $100

What is the slope of any line

parallel to the line 7 9 6?x y

Linear Equations & Functions - $100 Answer

7

9


What is the slope-intercept form of 8x – y – 6 = 0?


y = 8x – 6


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 appliedfor the spring’s length to be 0.18 meters?

20.03

3L F


0.225


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)?


4


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?


240°

Quadratics - $100

What is the solution set to the equation above?

2 36 0x x

Quadratics - $100 Answer

0, 36

Quadratics - $200

If a rectangle measures 54 meters by 72 meters,what is the length, in meters, of the diagonal of the rectangle?


90

Quadratics - $300

Sketch the graph of the function f(x) as defined below.

2 2 for 1

7 for 1 5

4 for 5

x x

f x x x

x x

Quadratics - $400

*Daily Double!*

If (x – 7) is a factor of

2x2 – 11x + k,

what is the value of k?


21

Quadratics - $500Which of the following quadratic equations hassolutions x = 6a and x = −3b?

2

2

2

2

2

F. 18 0

G. 3 6 18 0

H. 3 6 18 0

I. 3 6 18 0

J. 3 6 18 0

x ab

x x b a ab

x x b a ab

x x b a ab

x x b a ab


2J. 3 6 18 0x x b a ab

Potpourri - $100

21

?2

x y

Potpourri - $100 Answer

2 21

4x xy y

Potpourri - $200

2If 5

and , then

4what is the value of ?

1

f x x x

g x x

g

f


2

7

Potpourri - $300

The temperature, t, in degrees Fahrenheit, in a certain town on a certain spring day satisfies theinequality shown below. Write a compoundinequality that shows the temperatures, t, in degrees Fahrenheit, that satisfy this range.

24 30t


6 54t

Potpourri - $400

The normal amount of lead in a certain water supply is1.5 × 10−5 milligrams per liter. Today, when the waterwas tested, the lead level found was exactly 100 timesas great as the normal level, still well below the EPA’saction level. What concentration of lead, in milligramsper liter, was in the water tested today?


31.5 10

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 musthave how many digits?


2

Final Jeopardy Category:

Linear Equations

Final Jeopardy Question

Kaya drove 200 miles in 5 hours of actualdriving time. By driving an average of 10miles per hour faster, Kaya could have savedhow many hours of actual driving time?

Final Jeopardy Answer

1

100 400 500 400 500 400 500 300 200 100 essential skills systems & matrices linear equations...

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