Unit 5 Test
Name: _______________________________
Date: ______________
Block: ________
1. Write an equation of the line shown in point-slope form and in slope–intercept form.
point-slope form: ______________________________
(–3,3)
(3,–1)
slope-intercept form: ____________________________
_________________________________________________________________________________________
Write the equation of the line in standard form with the given information.
2.
equation: ___________________
__________________________________________________________________________________________
Write the equation of the line in point-slope form with the given information.
3. slope of
and passes through (−4, 1)
4. passes through (9, −1) and (−3, 5)
equation: _________________________
equation: _______________________
________________________________________________________________________________________
Write the equation of the line in slope-intercept form with the given information.
5. slope of −2 and passes through (3, 5)
6. passes through (−1, 15) and (2, 6)
equation: _________________________
equation: ________________________
7. Is the line passing through (8, −4) and (3, 6)
parallel to y
? Show work and explain.
8. Write an equation, in slope-intercept form, of the
line that passes through the point (3, –2) and is
parallel to the line y = 4x + 1.
__________________________________________________________________________________________
9. Graph the following equation from
10. Graph the following inequality:
point-slope form:
point: _______ slope: _______
_________________________________________________________________________________________
11. The cost of a school banquet is $70 plus $11 for each person attending. Write an equation that gives the
total cost as a function of the number of people attending. What is the cost for 62 people? (choose the
best answer)
B. y = 11x – 70; $612
A. y = 70x + 11; $4351
C. y = 70x – 11; $4329
D. y = 11x + 70; $752
_________________________________________________________________________________________
12. Anthony just got a job at Best Buy. Below is a table of his income over the past few weeks.
Weeks, x
Pay in
dollars, y
3
5
7
9
11
800
1300
1800
2300
2800
a) Write an equation in point-slope form representing the relationship between the weeks Anthony worked
and his total pay.
b) Write an equation in slope-intercept form representing this situation.
c) What does the slope of the equation represent in this situation?
d) After how many weeks will Anthony have $4800? Justify your answer(show your work).
e) What is the dependent part of this situation?
13. Katie has $400 in a savings account. She is saving money for a trip to England to visit her uncle. She
figures that she can save $75 every month from babysitting. Write an inequality that can be used to find out
how many months it will take until she has at least $1000 in the bank. Then, use the inequality to find the
number of months.
inequality: ________________
months: __________
_________________________________________________________________________________________
14. For an after school job, Brynn is paid $30 for 5 hours of work. When a student was asked how much Brynn
would make if she worked 7 hours, the student answered $210. Is the student’s answer reasonable? Explain
why or why not.
_________________________________________________________________________________________
15. Choose all the inequalities that are represented by the graph.
A.
B.
C.
D.
__________________________________________________________________________________________
16. Paula and her friends are going to the matinee at the local movie theater . They pay $5 for a movie ticket
plus $2 for each candy. Which of the following does not represent the given situation?
B.
A.
x
0
1
2
3
y
5
7
9
11
C.
D.
{(0, 5), (4, 13),
(6, 15), (8, 21)}
________________________________________________________________________________________
17. What is the equation in standard form of the line that passes through the point (1, 24) and
has a slope of
?
A.
B.
C.
D.
_________________________________________________________________________________________
18. What is the equation of the line that has slope of 0 and passes through the point (6, –8)?
A.
B.
C.
D.
19. In which step below does a mistake first appear in the steps of converting an equation in point-slope form to
standard form?
Step 1
A. Step 1
B. Step 2
Step 2
Step 3
C. Step 3
D. Step 4
Step 4
__________________________________________________________________________________________
20. Which one of the four lines graphed below represents the function
?
a
A. line a
B. line b
C. line c
D. line d
d
c
b
_________________________________________________________________________________________
21. Which situation can be represented by
22. Two functions are given below:
?
A. The number of eggs, y, in x dozen eggs for sale
after 4 dozen eggs are sold
How does the graph of f compare with the graph of g?
B. The cost, y, of buying x movie tickets that sell for
$8 each
A. The graph of f is less steep than the graph of g
B. The graph of f has the same y-intercept as thegraph of g
C. The cost, y, after a $4 discount, of buying x T-shirts
that sell for $12 each
C. The graph of f is parallel to the graph of g
D. The number of inches, y, in an x-foot-tall tree after
D. The graph of f is steeper than the graph of g
cutting off 4 feet
____________________________________________________________________________________________
23. A bird sanctuary needs at least 500 lbs of corn per month. The storage shed contains 87 lbs of corn on the
first day of the month. If corn is bought in 40-lb bags, which inequality can be used to calculate how many bags
of corn, x, are needed for the month?
A.
B.
C.
D.