OHS Keystone Assessment Algebra Testing

OHS Keystone Assessment
Algebra
Testing Period 2
ADMINISTRATOR COPY
OHS Keystone Assessments Algebra 1 - Test 2 v3.1
1.
Which of the following graphs is NOT a function?
A.
B.
C.
D.
Standard
A1.2.1.1.2
Description
Determine whether a relation is a function, given a set of points or a graph.
Webb's Cognitive - DOK Level 1
Correct Answer: D
2.
Which of the following maps is a function?
A.
B.
C.
D.
Standard
A1.2.1.1.2
Description
Determine whether a relation is a function, given a set of points or a graph.
Webb's Cognitive - DOK Level 2
Correct Answer: A
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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3.
Which value of x will NOT make the pairing a function:
{(1, 4), (x, 5), (3, 6), (4, 7)}
A.
B.
C.
D.
Standard
A1.2.1.1.2
2
4
6
8
Description
Determine whether a relation is a function, given a set of points or a graph.
Webb's Cognitive - DOK Level 2
Correct Answer: B
4.
Erica went shopping for new clothes for school. She bought a pair of jeans for
$39.58 and several shirts for $7.88 each. If x represents the number of shirts she
bought, which of the following equations should be used to find y, the total cost of
Erica’s shopping trip?
A.
B.
C.
D.
Standard
A1.2.1.2.1
y = $7.88x + $39.58
y = $39.58x + $7.88
x = $7.88y + $39.58
x = $39.58y + $7.88
Description
Create, interpret, and/or use the equation, graph, or table of a linear
function.
Webb's Cognitive - DOK Level 2
Correct Answer: A
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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5.
The table below shows values of y as a function of x.
Which linear equation best describes the relationship between x and y? A.
B.
C.
D.
Standard
A1.2.1.2.1
y = 2.5x + 5
y = 3.75x + 2.5
y = 4x + 1
y = 5x
Description
Create, interpret, and/or use the equation, graph, or table of a linear
function.
Webb's Cognitive - DOK Level 2
Correct Answer: B
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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6.
State the domain and range for the following graph:
A.
B.
C.
D.
Standard
A1.2.1.1.3
domain: {-8, -3, 2, 7}, range: {-8, -3, 2, 7}
domain: {-6, -3, 0, 3}, range: {-6, -3, 0, 3}
domain: {-6, -3, 0, 3}, range: {-8, -3, 2, 7}
domain: {-8, -3, 2, 7}, range: {-6, -3, 0, 3}
Description
Identify the domain or range of a relation (may be presented as ordered
pairs, a graph, or a table).
Webb's Cognitive - DOK Level 1
Correct Answer: C
7.
Match the table with the following function: A.
B.
C.
D.
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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Standard
A1.2.1.2.2
Description
Translate from one representation of a linear function to another (i.e., graph,
table, and equation).
Webb's Cognitive - DOK Level 1
Correct Answer: C
8.
Two cell phone companies have weekly service plans. Company A charges $15
dollars a week and gives you a one-time discount of $5. Company B has a one-time
$10 sign-up fee and charges $12 a week. After how many weeks would the total
cost for each cell phone company add up to be the same?
A.
B.
C.
D.
Standard
A1.2.1.1.2
3
5
7
8
Description
Determine whether a relation is a function, given a set of points or a graph.
Webb's Cognitive - DOK Level 2
Correct Answer: B
9.
The following graph shows a system of equations representing two students. The
equations were graphs based on the relationship of x (weeks) and y (money left). Explain what the solution/intersection is representing.
A.
B.
C.
D.
Standard
A1.1.2.2.2
After one week, both students have four dollars in their account.
After the fifth week, one of the students ran out of money.
After four weeks, each student had one dollar left in their account.
One student is losing money and one student is gaining money.
Description
Interpret solutions to problems in the context of the problem situation. Note:
Limit systems to two linear equations.
Webb's Cognitive - DOK Level 2
Correct Answer: A
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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10. If a student is given two linear equations and asked to find the intersection point,
which of the following could NOT be an answer given to the problem?
A.
B.
C.
D.
Standard
A1.1.3.2.2
no solution
one solution
two solutions
all solutions
Description
Interpret solutions to problems in the context of the problem situation. Note:
Limit systems to two linear inequalities.
Webb's Cognitive - DOK Level 1
Correct Answer: C
11. Looking at the picture below, what could be a solution to the system of inequalities?
A.
B.
C.
D.
Standard
A1.1.3.2.2
(0, 4)
(2, 0)
(0, -4)
(-3, 0)
Description
Interpret solutions to problems in the context of the problem situation. Note:
Limit systems to two linear inequalities.
Webb's Cognitive - DOK Level 2
Correct Answer: C
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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12. On the Smith farm, Amanda can peek through her basement window and see the
yard, but all she can see are the legs of the animals. She counts 34 legs altogether
and knows that her father always puts 12 animals in the yard at a time.
Amanda uses the following system of equations, where x is the number of pigs and y
is the number of chickens to determine how many of each animal are in the yard.
x + y = 12
4x + 2y = 34 How many of each animal are in the yard?
A.
B.
C.
D.
Standard
A1.1.2.2.2
5 pigs, 7 chickens
4 pigs, 9 chickens
6 pigs, 6 chickens
6 pigs, 5 chickens
Description
Interpret solutions to problems in the context of the problem situation. Note:
Limit systems to two linear equations.
Webb's Cognitive - DOK Level 2
Correct Answer: A
13. Identify the solutions for the following inequality:
-3x + 10 > 5
A.
B.
C.
D.
Standard
A1.1.3.1.2
Description
Identify or graph the solution set to a linear inequality on a number line.
Webb's Cognitive - DOK Level 2
Correct Answer: C
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14. Cellular phone company A charges $30 per month plus $0.15 per minute.
Cellular phone company B charges $50 per month plus $0.10 per minute.
In the following system of inequalities, x is the total number of minutes used and y
is the amount of the monthly bill.
Company A: y > 30 + 0.15x Company B: y > 50 + 0.10x Which of the following is a true statement?
A. If a customer with Company A talks for 100 minutes, their bill will be no
more than $40.
B. If a customer’s bill with Company A is $65, they talked for at least 250
minutes.
C. If a customer’s bill with Company B is $70, they talked for at least 250
minutes.
D. If a customer with Company B talks for 100 minutes, their bill will be at least
$60.
Standard
A1.1.3.2.2
Description
Interpret solutions to problems in the context of the problem situation. Note:
Limit systems to two linear inequalities.
Webb's Cognitive - DOK Level 2
Correct Answer: D
15. Tina can type at least 60 words per minute. Write and graph an inequality to model
this solution.
A. t < 60
B. t > 60
C. t > 60
D. t < 60
Standard
A1.1.3.1.2
Description
Identify or graph the solution set to a linear inequality on a number line.
Webb's Cognitive - DOK Level 2
Correct Answer: B
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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16. Write a compound inequality that represents each situation. Graph your solution. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and
minimum speed is 20 miles per hour.
A. 20 > x > 50
B. 20 < x < 50
C. 20 < x < 50
D. 20 > x > 50
Standard
A1.1.3.1.1
Description
Write or solve compound inequalities and/or graph their solution sets on a
number line (may include absolute value inequalities).
Webb's Cognitive - DOK Level 2
Correct Answer: C
17. The table below represents what a movie club charges monthly, based on the
number of movies purchased during the month.
Which expression can be used to determine the monthly cost if a member purchases
m number of movies?
A.
B.
C.
D.
Standard
A1.2.1.1.1
11.50m
7.50 + 11.50m
7.50m
11.50 + 7.50m
Description
Analyze a set of data for the existence of a pattern and represent the pattern
algebraically and/or graphically.
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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Webb's Cognitive - DOK Level 2
Correct Answer: B
18. The graph below shows the extent of ice in the Arctic since 1978. The linear trend
line indicates that the Arctic is losing an average of 44,000 square kilometers of ice
per year.
If this trend continues, approximately how long will take before the Arctic loses
another 200,000 square kilometers?
A.
B.
C.
D.
Standard
A1.1.2.1.1
2 years
5 years
10 years
25 years
Description
Write, solve, and/or apply a linear equation (including problem situations).
Webb's Cognitive - DOK Level 2
Correct Answer: B
19. Solve the compound inequality. Graph your solution. 2x - 2 < -12 or 2x + 3 > 7
A. x < -5 or x > 2
B. x < -5 or x > 5
C. x < -7 or x > 5
D. x < -12 or x > 2
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Standard
A1.1.3.1.1
Description
Write or solve compound inequalities and/or graph their solution sets on a
number line (may include absolute value inequalities).
Webb's Cognitive - DOK Level 2
Correct Answer: A
20. Which graph is the solution to the following system of inequalities: y < 2x + 1
y < -x - 1
A.
B.
C.
D.
Standard
A1.1.3.2.1
Graph A
Graph B
Graph C
Graph D
Description
Write and/or solve a system of linear inequalities using graphing. Note: Limit
systems to two linear inequalities.
Webb's Cognitive - DOK Level 2
Correct Answer: A
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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21. Choose the system of inequalities that best matches the graph below.
A. y < 2x + 2 y < x
B. y < x - 2 y > -x
C. y < 2x + 2 y > -x
D. y < 2x y < x
Standard
A1.1.3.2.1
Description
Write and/or solve a system of linear inequalities using graphing. Note: Limit
systems to two linear inequalities.
Webb's Cognitive - DOK Level 2
Correct Answer: C
22. Which set of ordered pairs below contains the following domain: domain = {-3, 0, 1, 5}
A.
B.
C.
D.
Standard
A1.2.1.1.3
{(5, 6), (0, -2), (1, 3), (-3, 7), (5, -2)}
{(3, -3), (1, -4), (0, -2), (5, 4)}
{(3, 5), (8, -3), (4, 0), (-3, 1)}
{(6, -3), (0, 5), (1, 1), (-2, 0), (-8, 1)}
Description
Identify the domain or range of a relation (may be presented as ordered
pairs, a graph, or a table).
Webb's Cognitive - DOK Level 1
Correct Answer: A
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23. Leah is earning money to buy a new phone by babysitting and dog walking. She
charges $8 per hour to babysit and $6 per hour to dog walk. The shaded region in
the graph below represents the total number of hours she needs to babysit (b) and
dog walk (d) to make at least $250. Use the graph to determine which scenario would earn Leah the minimum amount
of money she needs.
A.
B.
C.
D.
Standard
A1.1.3.1.3
24 hours of babysitting and 6 hours of dog walking
16 hours of babysitting and 17 hours of dog walking
18 hours of babysitting and 21 hours of dog walking
20 hours of babysitting and 12 hours of dog walking
Description
Interpret solutions to problems in the context of the problem situation. Note:
Linear inequalities only.
Webb's Cognitive - DOK Level 2
Correct Answer: C
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24. At the amusement park, the paddle boats have a sign posted: Which of the following can be the weights of the two riders?
A.
B.
C.
D.
Standard
A1.1.3.1.3
(100, 200)
(240, 0)
(150, 340)
(100, 150)
Description
Interpret solutions to problems in the context of the problem situation. Note:
Linear inequalities only.
Webb's Cognitive - DOK Level 1
Correct Answer: B
25. Which equation is represented in the graph?
A.
B.
C.
D.
Standard
A1.2.1.2.2
y = (4/3)x + 2
y = -3x + 2
y = -(4/3)x + 2
y = -(3/4)x + 2
Description
Translate from one representation of a linear function to another (i.e., graph,
table, and equation).
OHS Keystone Assessments Algebra 1 - Test 2 v3.1 © (All rights reserved–Permission to reproduce required)
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Webb's Cognitive - DOK Level 1
Correct Answer: D
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