Math 0099 Solutions to Practice Test 3

1
Math 0099 Solutions to Practice Test 3

• Chapter 8 and 7.6
• Equations in Two Variables
• 25 Questions
• 4 points each
• You will be able to use a study guide.
• Calculators are allowed.

2
1a. Find the slope of the line passing through
the following points

• a. (-5, 7) and (-4, -2)

3
1b. Find the slope of the line passing through
the following points

• b. (3, 5) and (-2, 5)

4
1c. Find the slope of the line passing through
the following points

• c. (3, -8) and (3, 5)

STOP
The slope is undefined. The line is vertical.
5
2. Graph 2x y 2
(0, 2)

• y-intercept ______
• x-intercept ______

(1, 0)
(2, -2)
6
3. Find the x- intercept, the y-intercept, the
slope and then graph 2x 3y -12.
7
4. Find the x- intercept, the y-intercept, and
the slope of the line y -5x 8.
8
5. Write the equation of the line that has a
slope of -4/5 and passes through (5, -3). Your
final answer should be in standard form, Ax By
C.

• Use point-slope and then write it in standard
  form.

9
6. Find the equation of the straight line that
passes through (5, -3) and (-4, 2). Your final
answer should be in standard form, Ax By C.

• Find slope
• Use point-slope and then write it in standard
  form.

10
7. Determine the equation for a horizontal line
passing through the point (5, 2).

• Recall that horizontal lines have the form
• y k
• k is any y value of any point on the line.
• So the answer is y 2
• If this problem had been about vertical lines
  then the answer would have been
• x 5

11
8. Find the equation of line that passes through
(3, 5) that is perpendicular to 4x y 12. Your
final answer should be in standard form, Ax By
C.

• Find slope
• Find the perpendicular
• Use point-slope and then write it in standard
  form.

12
9. What is the slope of every line parallel to 5x
4y 12?

• The slope of every line parallel will have the
  same slope as the original line.

Solve for y to find the slope.
13
10. Consider the relation (3, 1),
(5, 2), (3, 3), (7, 2). Find the domain and
range of this relation. Is the relation a
function?

• Domain 3, 5, 7
• Range 1, 2, 3
• Since the domain 3 goes to both 1 and 3 we know
  this is not a function.

14
11. Find
15
12. Find
16
13. Find
17
14. Write a formula for
18
15. Write a formula for
19
16. Find x so that the line connecting (-7, 2)
and (x, 8) has a slope of 2.
Answer a
20
17. Find the x- and y-intercept of y 4x 16

• All of the answer choices have the same y
  intercept -16, which is correct.
• Let y 0 and then you will find the x-intercept.
• 0 4x 16
• 16 4x
• 4 x

Answer a
21
18. Find the equation of the straight line that
passes through (5, -5) and (-4, 1).

• Find slope
• Only answers b and c have that slope

Answer c
22
19. The line that passes through (2, -1) which is
parallel to 3x 2y has a y intercept of

• First determine the slope.
• Now plug into y mx b

Answer d
23
20. Find
Answer b
24
21. Solve this system by graphing.
The solution appears to be (2, 0). We must verify
this answer in both equations.
25
22. Solve this system using the addition method.
26
23. Solve this system using the substitution
method.
27
24. Solve this system using the addition method.
28
25. If tickets for a show cost 3.00 for adults
and 2.00 for children, how many of each kind of
ticket were sold if a total of 50 tickets were
sold for a total of 120?

• A Adults tickets
• C Childrens Tickets

20
30
29
26. The sum of two numbers is 110. The
difference of the two numbers is 10. Find the
two numbers.
60
50
30
27. How much 25 antifreeze and 50 antifreeze
should be combined to give 40 gallons of 30
antifreeze?

• x amount of 25 antifreeze
• y amount of 50 antifreeze
• x y 40
• .25x .50y .30(40)

32 GALLONS
8 GALLONS
Not on test, but
56 Page 448 looks interesting