Unit 3 Quest Review

Last updated over 3 years ago
17 questions
SHOW ALL OF YOUR WORK.
1

Select all of the ordered pairs you see on this graph:


1

Select all the quadrants that you see the ordered pairs in:


5

Graph y= \frac{3}{2} x -1.

Complete these order pairs and plot each as well. Lable each ordered pair with its coordinate point.
A (0,___)
B (3,___)
C (-3,___)
D (____,0)

2

Match the representation the correct slope

Draggable itemCorresponding Item
x=0
Zero slope
(2,2) and (-4,-1)
undefined slope
2x+3y=6
m=-2/3
y=0
m=1/2
m=-1/2
1

State the x- and y- intercepts for the following equation:

-3x +8y =48

1

For each pair of equations, state if they are parallel, perpendicular, or neither

3x - 4y = 12
4x +3y = 12

3

Graph y= 2x-2.

Then graph a line that is perpendicular to this line through (1,1).

Then graph a line that is parallel to the perpendicular line through (-1,-1).

PLEASE MAKE SURE TO RETURN THE GRAPH TO HOME WHERE THE ORIGIN IS IN THE MIDDLE OF THE GRAPH!

1

Graph the system. In the show work section, please state if the system has 1 solution, no solution, or infinitely many solutions.

y=x
-x+y=3

1

Graph the system. In the show work section, please state if the system has 1 solution, no solution, or infinitely many solutions.

y=\frac{-5}{2}x-10
5x+2y=-20

3

Graph the system of inequalities:
x+3y>6
2x-y\leq 8

3

Given the following system of inequalities, select ONLY THE TRUE STATEMENTS:



1

10 tacos and 6 drinks cost $19.50. 7 tacos and 5 drinks cost $14.25. If t is the cost per taco and d is the cost per drink. Write a system to represent the situation in the show work section.

1

There are 12 animals in a zoo enclosure. Some are geese and some are elephants. There are 40 legs in all.
How many of each animal are there?

HINT: IT'S A LINEAR SYSTEM! SHOW YOUR WORK!

2

The Junior Class must decide whether to use Liberty Hall or Sky Club for the location of the Junior Prom. Both establishments charge a hall fee as well as a price for each person who attends the prom. Information about the costs at each establishment is shown in the table and related graphs below.



Use the table and related graph to match the following:

Draggable itemCorresponding Item
If 50 people attend, the location with the lower cost is:
C=4p+110
The total Cost for the use of the Liberty Hall if p people attend
C=6p+25
The total Cost for the use of Sky Club if p people attend
Libety Hall
If 40 people attend, the location with the lower cost is:
Sky Club
The cost of both venues will be approximately the same if there are:
43 people who attend
2

Solve this system by Subsitution:

x+y=-1
x+y=-7

2

Solve this system by Elimination:

4x - 3y = -8
x+ 3y = 13

5

Sarah’s mom pays her $6 per hour to work in the yard and $4 per hour to clean the house. Sarah wants to earn $60, but does not want to work any more than 12 hours. What are the possible combinations of hours that Sarah could work her various chores?

Write and graph the system of linear inequalties. Suggest a solution to Sarah that would satisfy her situation.