Name_____________________________
Period__________
Date________
Unit Three PRACTICE Test – Honors Algebra
1. The amount of money that a newspaper pays for an article varies directly as the number of
words in the article. If the magazine pays $420.00 for a 600 word article, first solve for the
constant of variation k, then write the direct variation equation. How much will be paid for an
article of 900 words?
k = __________
Equation: ____________________
Amount paid: ________
2. The weight of an object on the moon, M, varies directly as the weight of the same object on
the Jupiter, J. A 200 pound object on the moon would weigh 1300 pounds on Jupiter. First solve
for the constant of variation k, then write the direct variation equation. How much would an
object weigh on Jupiter if it were 45 pounds on the moon?
k = __________
Equation: ____________________
Amount paid: ________
3. Write equations in both point-slope and slope-intercept form of the line that that passes
2
through the point (-6, 5) and is parallel to the line whose equation is y = 3x - 6?
Point-slope:
__________________
Slope-intercept: __________________
4. What is an equation of the line that passes through the point (6,1) and is perpendicular to the line
2
whose equation is y = x + 3?
3
Point-slope:
__________________
Slope-intercept: __________________
5. Tom and Sarah are graphing the following two lines on a graph.
2𝑥 + 3𝑦 = 12
3
𝑦= 𝑥+6
2
Tom thinks the two lines are perpendicular and Sarah thinks the two lines are parallel.
Who is correct?
A. Sarah is correct because the slope of the
two lines are the same.
C. Tom is correct because the slope of the
two lines are the same.
B. Sarah is correct because the slope of the
two lines are the opposite reciprocal.
D. Tom is correct because the slope of the
two lines are the opposite reciprocal.
6. The graph below describes the speed of a vehicle over a period of time.
Find the following rate of changes:
A. 0 to 4 secs
____________
B. 10 to 13 secs ____________
C. 20 to 22 secs ____________
7. The student council is selling scented candles to earn money for the Sadie Hawkins Dance.
The graph below shows the relationship between the number sold and the amount of money
earned.
Scented Candle Sales
What does the x-intercept represent?
________________________________________________
________________________________________________
What does the y-intercept represent?
________________________________________________
________________________________________________
What does the slope represent?
________________________________________________
8. Each table below shows a set of ordered pairs. Which table contains points that lie on a line
whose slope is ⅗ ?
A.
C.
x
y
x
y
3
3
3
5
6
8
8
8
-3
-7
2
2
B.
D.
x
y
x
y
9
-10
3
5
6
-5
8
8
3
0
-2
2
9. Given the table, answer the following:
Slope-intercept form: ________________________
Standard form: _____________________________
Point-slope form: ___________________________
Slope: _________
Zero: __________
Y-intercept: _________
10. Which of the following equations are represented by the graph?
I.
II.
III.
IV.
1
y = 2x + 5
2x − y = -5
y = (x − 2)(x − 3)
y + 7 = −2(x− 6)
A. I and II
C. II and III
B. II and IV
D. I and IV
x
y
1
-9
2
-8
3
-7
4
-6
11. A line is drawn through points (-9, -12 ) and (-6, -6). What is the x-coordinate of the xintercept of the resulting function?
12. The table below represents the number of students who attended the Sadie Hawkins Dance
during the years listed.
Year
Students Attended Dance
2000
350
2003
650
2006
950
2012
1550
Based on the data shown, what would be the best prediction of the number of students that
attended the homecoming dance in 2008? 2010?
2008: ____________
2010: ____________
13. Amy is training to run a marathon. In week 1, she ran 3 miles. In week 11, she ran 23 miles.
Which of the following represents this linear relationship if x is the training week number, and y
is the number of miles she ran?
A.
B. y = 2x + 1
C.
x
y
2
5
4
9
6
13
8
17
D. All of the above
14. Which of the following does not describe the graph below?
A. The x-intercept is (-4, 0)
C. As the x value increases by 4, the y value
increases by 3.
B. The y-intercept (0, 3)
D. The change in the y values is 3 when the
change in the x values is 4.
15. What is the equation of a line that is perpendicular to the line shown below and goes through
the point (2, 5)?
16. Which graph best represents the function y = 1.75x + 5?
17. Write the linear equation in slope-intercept form for the graph below:
18. Find the slope, zero and y-intercept of the line that passes through the
points (3, 5) and (3, -2).
Slope: _________
Zero: __________
Y-intercept: ___________
19. Write the linear equation represents the line that passes through the point (3,-4) and is
parallel to the x-axis? Graph the line on the given coordinate plane.
20. Write the linear equation of the line that passes through the point ( 2,-4) and is
perpendicular to the y-axis? Graph the line on the given coordinate plane.
21. Given the table below, determine the explicit rule, the missing value, slope, zero, y-intercept
and the equation of the line.
56
-27
64
-24
Explicit Rule
Slope
72
-21
80
-18
528
?
Missing Value
Zero
y-intercept
Equation of the line
22. If y varies directly with x, and x =
12
, when y = - 50, find y when x = -48.
5
23. Given the information below, find the following then graph the line.
Point (-4, 5)
Slope -
1
2
Zero
Equations
Point-slope form
Slope-intercept form
Standard form
y-intercept