Slope Practice Assessment Document
UNCOMMON SCHOOLS
Date
Name
Team
8th Grade Algebra
ALG.08.UNIT.N02.26-27.USI
60 minutes, Calculator ON
Unit 2 Assessment: Slope/ Rate of Change
(Practice Version)
1
A.REI.10 8.EE.6
Which of the following could represent the graph of the equation \(x = 3\)?
a)
x y 3 -3 3 -3
b)
x y 3 -3 3 -3
c)
x y 3 -3 3 -3
d)
x y 3 -3 3 -3
2
F.LE.5 8.F.4
A bakery is cooling a fresh batch of artisan bread. The temperature of the bread, \(T\), in degrees Fahrenheit, can be determined using the equation \(T = 375 - 3.5m\), where \(m\) is the number of minutes the bread has been cooling on the rack. What does the number \(-3.5\) represent in the equation?
a) The temperature of the bread when it is first taken out of the oven.
b) The temperature of the bread after \(m\) minutes have passed.
c) The total change in temperature of the bread after \(m\) minutes have passed.
d) The change in temperature of the bread every minute.
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3
F.LE.2 8.F.4
Which of the following equations represents the line graphed on the coordinate plane?
a) \(y = \frac{1}{2}x - 1\)
b) \(y = \frac{1}{2}x + 2\)
c) \(y = 2x - 1\)
d) \(y = 2x + 2\)
x y 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 2 4 6 8 -2 -4 -6 -8
4
F.LE.2 8.F.4
What equation represents the table of values shown below?
| x | y |
|---|
| \(-6\) | \(-7\) |
| \(-3\) | \(-3\) |
| \(0\) | \(1\) |
| \(3\) | \(5\) |
| \(6\) | \(9\) |
A. \(y = 4x + 1\)
B. \(y = \frac{4}{3}x + 1\)
C. \(y = 1x + \frac{4}{3}\)
D. \(y = 1x + 4\)
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5
F.IF.9 8.F.2
The table and graph below show data about the time spent reading and the number of pages read by Elena and Marcus.
Reading Data for Elena
| Time (hours) | Number of Pages |
|---|
| 3 | 105 |
| 5 | 175 |
| 6 | 210 |
Reading Data for Marcus Time (in hours) Number of Pages 0 50 100 150 200 250 300 350 400 450 500 1 2 3 4 5 6 7 8 9 10 (2, 90) (6, 270) (10, 450)
Which statement correctly compares the reading speed of Elena and Marcus?
A. Each hour, Marcus reads 10 pages less than Elena.
B. Each hour, Marcus reads 10 pages more than Elena.
C. Each hour, Marcus reads 5 pages less than Elena.
D. Each hour, Marcus reads 5 pages more than Elena.
6
F.IF.7.a 8.EE.6
Which equation represents a line with an undefined slope?
A) \(y = -5\)
B) \(x = 4\)
C) \(y = 3x\)
D) \(y = 0\)
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7
F.IF.6 8.F.4
The table below shows the total earnings of a freelance graphic designer based on the number of hours worked.
| Hours Worked (x) | Total Earnings (y) |
|---|
| 2 | $45.00 |
| 5 | $112.50 |
| 8 | $180.00 |
What is the rate of change in earnings per hour?
A) $67.50 / hour
B) $22.50 / hour
C) $35.00 / hour
D) $45.00 / hour
8
A.CED.1 8.EE.6
A line has a slope of 4 and passes through the points \((2, y)\) and \((5, 17)\). What is the value of \(y\)?
A) 3
B) 5
C) 7
D) 12
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9
F.IF.6 8.EE.6
What is the slope of the line passing through the points \((3, 4)\) and \((7, 16)\)?
A) \(-3\)
B) \(\frac{1}{3}\)
C) \(3\)
D) \(4\)
10
F.LE.1.b 8.F.3
Jennifer determined that the table below represented a linear relationship.
| x | Y |
|---|
| \(-3\) | \(14\) |
| \(0\) | \(8\) |
| \(3\) | \(2\) |
| \(6\) | \(-6\) |
Part A) Do you agree or disagree with Jennifer? Explain your reasoning. And if you disagree, which value would you change to make it a linear relationship?
Part B) Show mathematical evidence (work) to justify your answer by calculating the rate of change between successive points. (and if you changed any point, find the rate of change with the new points).
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11
F.LE.2 8.F.4
What is the equation of the line that goes through the points \((-6, 0)\) and \((0, 3)\)?
A) \(y = \frac{1}{2}x - 6\)
B) \(y = \frac{1}{2}x + 3\)
C) \(y = 2x - 6\)
D) \(y = -\frac{1}{2}x + 3\)
12
F.IF.9 F.LE.5
Marcus is comparing two summer job offers:
- Job A: Pay is modeled by the equation \(y = 19x + 20\), where \(x\) is the number of hours worked and \(y\) is the total pay in dollars.
- Job B: Pays a flat setup bonus of $50, plus $16 for every hour worked.
Which job offers a higher hourly rate of change, and by how much per hour? Justify your conclusion using mathematical evidence.
Job
Difference: $
Justification:
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