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12120 Review for Section 6a Test.notebook
1
January 21, 2020
1/21/20 Algebra 1Warmup: Graph the following quadratic equation by finding its key features.
Objectives Review Section 6a Test
yintercept xintercept(s) vertexaxis of symmetry
y = 4x2 + 8x 5
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12120 Review for Section 6a Test.notebook
2
January 21, 2020
Combination__ __ __ __ __ __#1 #2 #3 #4 #5 #6
Lockbox Six Questions Quadratics Standard Form.docx
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12120 Review for Section 6a Test.notebook
3
January 21, 2020
practice testPractice Test Quadratic Functions Standard Form Examination.docx
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12120 Review for Section 6a Test.notebook
4
January 21, 2020
All Quiz Retakes are Due Tomorrow for Section 6a
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Attachments
Solving System by Making a Table 2.docx
Solving System by Making a Table.docx
Solving System by Making a Table 2 KEY.pdf
Quadratic Features Review Problems Snowball fight.docx
Snowball fight Quadratic Features Review Problems.docx
6a. Key Objectives for Section 6a Test.docx
FSA_ALG1_PracticeTest_approved.pdf
Q Quadratic Word Problem Quiz.docx
Quadratic Functions Standard Form Examination Practice Test.docx
Practice Test Quadratic Functions Standard Form Examination.docx
Lockbox Six Questions Quadratics Standard Form.docx
Name: ______________________
Algebra 1: Solve Quadratic and Linear System by Making a Table
-2
-1
0
1
2
3
4
By looking at the table and graph, the solutions to the system of equations is at:
(_____, _____) and (_____, _____)
SMART Notebook
Name: ___________________________________
Algebra 1: Solving System by Making a Table
x
-6
-5
-4
-3
-2
-1
0
1
Solutions to the System: (_____, _____), (______, ______)
Name: ___________________________________
Algebra 1: Solving System by Making a Table
x
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-3
-2
-1
0
1
x
-6
-5
-4
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-2
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Solutions to the System: (_____, _____), (______, ______)
x
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Solutions to the System: (_____, _____), (______, ______)
x
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-2
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2
3
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Solutions to the System: (_____, _____), (______, ______)
SMART Notebook
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SMART Notebook
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
What is the maximum height of the object?
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
When will the ball hit the ground?
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
What is the maximum height of the object?
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
When will the object hit the ground?
Answer the following multiple choice questions
Which equations are represented by the graphs?
Answer the following multiple choice questions
Which equation is represented by the graph?
Answer the following multiple choice questions
Rank the following equations from LEAST STEEP to STEEPEST
a.
b.
c.
d.
e.
Rank the following equations from LEAST STEEP to STEEPEST
a.
b.
c.
d.
e.
Multiple Choice
If , which one of these equations is shifted up 3 units and shifted 4 units to the right?
a.
b.
c.
d.
Which of these equations opens down, and is steeper than ?
a.
b.
c.
d.
Multiple Choice
If , which one of these equations is shifted down 5 units and shifted 1 unit to the left?
a.
b.
c.
d.
Which of these equations opens up, and is wider than ?
a.
b.
c.
d.
ANSWER KEY
Multiple Choice
If , which one of these equations is shifted left 2 units and shifted 8 units up?
a.
b.
c.
d.
Which of these equations opens down when graphed, and is vertically compressed compared to ?
a.
b.
c.
d.
ANSWER KEY
1.
31
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18. No x-intercepts
19.
20. 114 feet
21. 4.67 seconds
22. 120 feet
23. 5.24 seconds
24. c,d
25. c,b
26. d,a
27. e,b,d,a,c
28. a,d,c,b,e
29. c,d
30. a,c
31. a,b
SMART Notebook
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
Find the y-intercept
Find the x-intercept(s)
Find the Vertex
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
What is the maximum height of the object?
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
When will the ball hit the ground?
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
What is the maximum height of the object?
The height of a launched object is given the equation where h is the height in feet and t is the time in seconds
When will the object hit the ground?
Answer the following multiple choice questions
Which equations are represented by the graphs?
Answer the following multiple choice questions
Which equation is represented by the graph?
Answer the following multiple choice questions
Rank the following equations from LEAST STEEP to STEEPEST
a.
b.
c.
d.
e.
Rank the following equations from LEAST STEEP to STEEPEST
a.
b.
c.
d.
e.
Multiple Choice
If , which one of these equations is shifted up 3 units and shifted 4 units to the right?
a.
b.
c.
d.
Which of these equations opens down, and is steeper than ?
a.
b.
c.
d.
Multiple Choice
If , which one of these equations is shifted down 5 units and shifted 1 unit to the left?
a.
b.
c.
d.
Which of these equations opens up, and is wider than ?
a.
b.
c.
d.
ANSWER KEY
Multiple Choice
If , which one of these equations is shifted left 2 units and shifted 8 units up?
a.
b.
c.
d.
Which of these equations opens down when graphed, and is vertically compressed compared to ?
a.
b.
c.
d.
ANSWER KEY
1.
31
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18. No x-intercepts
19.
20. 114 feet
21. 4.67 seconds
22. 120 feet
23. 5.24 seconds
24. c,d
25. c,b
26. d,a
27. e,b,d,a,c
28. a,d,c,b,e
29. c,d
30. a,c
31. a,b
SMART Notebook
Key Objectives for Section 6a Test: Quadratic Functions Standard Form
Algebra 1
The test will include, but is not limited to, the following concepts. The test will include these concepts, although it may isolate, expand, or combine any of the following…..
· Graph a function in both Standard Form and Vertex Form while identifying the features.
· Find features in contextual problems.
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function .
a. In how many seconds does the ball reach its maximum height?
b. What is the ball’s maximum height?
c. When will the ball hit the ground?
· Find solutions to systems by creating a table and graphing.
x
-2
-1
0
1
2
3
4
5
Solutions to the System: (_____, _____), (______, ______)
SMART Notebook
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Directions for Answering the Mathematics Practice Test Questions
If you don’t know how to work a problem, ask your teacher to explain it to you. Your teacher has the answers to the practice test questions.
You may need formulas and conversions to help you solve some of theproblems. You may refer to the Reference Sheet on page 5 as often as you like.
Use the space in your Mathematics Practice Test Questions booklet to do your work.
Algebra 1
FSA Mathematics
Practice Test Questions
The purpose of these practice test materials is to orient teachers andstudents to the types of questions on paper-based FSA tests. By using thesematerials, students will become familiar with the types of items and responseformats they may see on a paper-based test. The practice questions andanswers are not intended to demonstrate the length of the actual test, norshould student responses be used as an indicator of student performance onthe actual test. The practice test is not intended to guide classroominstruction.
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Page 2
All trademarks and trade names found in this publication are the property oftheir respective owners and are not associated with the publishers of thispublication.
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Page 3
Directions for Completing the Response Grids
1. Work the problem and find an answer.
2. Write your answer in the answer boxes at the top of the grid.
• Write your answer with the first digit in the left answer box OR withthe last digit in the right answer box.
• Write only one digit or symbol in each answer box. Do NOT leave ablank answer box in the middle of an answer.
• Be sure to write a decimal point, negative sign, or fraction bar in the answer box if it is a part of the answer.
3. Fill in a bubble under each box in which you wrote your answer.
• Fill in one and ONLY one bubble for each answer box. Do NOT fillin a bubble under an unused answer box.
• Fill in each bubble by making a solid mark that completely fills the circle.
• You MUST fill in the bubbles accurately to receive credit for your answer.
Answer boxesNegative signFraction barDecimal point
Number bubbles
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0000000
1111111
2222222
3333333
4444444
5555555
6666666
7777777
8888888
9999999
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Page 4
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1 1– 6 . 7 8– 5 . 32 3 61
When a percent is required to answer a question, do NOT convert thepercent to its decimal or fractional equivalent. Grid in the percent valuewithout the % symbol. Do the same with dollar amounts.
Do NOT write a mixed number, such as , in the answer boxes.
Change the mixed number to an equivalent fraction, such as , or to an
equivalent decimal, such as 13.25. Do not try to fill in , as it would be
read as and would be counted wrong.
534
1314
14
13
14
13
-------
`````
0000000
1111111
2222222
3333333
4444444
5555555
6666666
7777777
8888888
9999999
aaaaaaa
-------
`````
0000000
1111111
2222222
3333333
4444444
5555555
6666666
7777777
8888888
9999999
aaaaaaa
-------
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0000000
1111111
2222222
3333333
4444444
5555555
6666666
7777777
8888888
9999999
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OR
CORRECT INCORRECT
5 3 / 4 1 3 . 2 5 1 3 / 41
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Page 5
Algebra 1 EOC FSA Mathematics Reference Sheet
Customary Conversions
1 foot = 12 inches1 yard = 3 feet 1 mile = 5,280 feet1 mile = 1,760 yards
1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts
1 pound = 16 ounces 1 ton = 2,000 pounds
Metric Conversions
1 meter = 100 centimeters1 meter = 1000 millimeters1 kilometer = 1000 meters
1 liter = 1000 milliliters
1 gram = 1000 milligrams 1 kilogram = 1000 grams
Time Conversions
1 minute = 60 seconds 1 hour = 60 minutes1 day = 24 hours1 year = 365 days1 year = 52 weeks
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Page 6
BLANK PAGE
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Page 7
Session 1
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Go OnPage 8
FSA Algebra 1 Practice Test QuestionsSession 1
Use the space in this booklet to do your work. For multiple-choiceitems, fill in one bubble for the correct answer. For editing taskchoice items, matching items, and multiselect items, fill in thebubbles for all of the correct answers. For items with response grids,refer to the Directions for Completing the Response Grids on pages 3 and 4. If you change your answer, be sure to erase completely.Calculators are NOT permitted for Session 1 of this practice test.
1. Jeremy determines that . Part of his work is shown.
Which expression or equation should be placed in the blank to correctlycomplete Jeremy’s work?
A
B
C
D
15012
9 921
9 3 21
21
3 31 21
9
312
21
3 21
3
21
3 21
3 3 3 21
• •
21
3 21
3 3 3 21
21
• •
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Page 9
FSA Algebra 1 Practice Test Questions
Go On
Session 1
2. A bird drops a stick from the top of Miami Tower. The height of the stickafter x seconds is given by f (x) = 625 – 16x2.
1010
Select all the correct interpretations of the coordinates of the point at themaximum of the function f (x).
A the time it takes the stick to hit the ground
B the time when the stick is at its highest point
C the height of the stick when it is dropped from Miami Tower
D the time when the stick is dropped from the top of Miami Tower
E the distance of the stick from Miami Tower when it hits the ground
14706
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Go OnPage 10
FSA Algebra 1 Practice Test QuestionsSession 1
3. Some of the steps in Raya’s solution to 2.5 (6.25x + 0.5) = 11 are shown.
Select the correct reason for line 4 of Raya’s solution.
A Closure property
B Distributive property
C Addition property of equality
D Division property of equality
E Symmetric property of equality
14592
Statement Reason
1. 2.5 (6.25x + 0.5) = 11 1. Given
2. 2.
3. 3. Subtraction property of equality
4. x = 0.624 4. ?
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Page 11
FSA Algebra 1 Practice Test Questions
Go On
Session 1
4. Cora is using successive approximations to estimate a positive solution tof (x) = g (x), where f (x) = x2 + 13 and g (x) = 3x + 14. The table shows herresults for different input values of x.
Use Cora’s process to find the positive solution, to the nearest tenth, of f (x) = g (x).
14595
g (x)f (x)x
0
1
2
3
4
3.5
13
14
17
22
29
25.25
14
17
20
23
26
24.5
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0000000
1111111
2222222
3333333
4444444
5555555
6666666
7777777
8888888
9999999
aaaaaaa
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Go OnPage 12
FSA Algebra 1 Practice Test QuestionsSession 1
5. The system has the solution (3, –1), where F, G, H, P, Q,
and R are nonzero real numbers.
Select all the systems that are also guaranteed to have the solution (3, –1).
A (P + F)x + (Q + G)y = R + HFx + Gy = H
B (P + F)x + Qy = R + HFx + (G + Q)y = H
C Px + Qy = R(3P + F)x + (3Q + G)y = 3H + R
D Px + Qy = R(F – 2P)x + (G – 2Q)y = H – 2R
E Px + Qy = R5Fx + 5Gy = 5H
14581
Px Qy RFx Gy H
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Page 13
FSA Algebra 1 Practice Test Questions
Go On
Session 1
6. The production cost, C, in thousands of dollars, for a toy company tomanufacture a ball is given by the model C(x) = 75 + 21x – 0.72x2, wherex is the number of balls produced in one day, in thousands. The companywants to keep its production cost at or below $125,000. The graph shownmodels the situation.
What is a reasonable constraint for the model?
A –3.2 ≤ x ≤ 32.38
B 2.62 ≤ x ≤ 26.55
C –3.2 ≤ x ≤ 2.62 and 26.55 ≤ x ≤ 32.38
D 0 ≤ x ≤ 2.62 and 26.55 ≤ x ≤ 32.38
14582
C = 125
(–3.2, 0) (32.38, 0)
(14.58, 228.13)
(0, 75)
(26.55, 125)
x
C
(2.62, 125)
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Page 14
FSA Algebra 1 Practice Test QuestionsSession 1
This is the end of Session 1.
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Page 15
Session 2
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Go OnPage 16
FSA Algebra 1 Practice Test QuestionsSession 2
Use the space in this booklet to do your work. For multiple-choiceitems, fill in one bubble for the correct answer. For editing taskchoice items, matching items, and multiselect items, fill in thebubbles for all of the correct answers. For items with response grids,refer to the Directions for Completing the Response Grids on pages 3 and 4. If you change your answer, be sure to erase completely.Scientific calculators may be used for Session 2 of this practice test.
7. Sue removes the plug from a trough to drain the water inside. Thevolume, in gallons, in the trough after it has been unplugged can bemodeled by 4t2 – 32t + 63, where t is time, in minutes.
A. Select the correct property that will give Sue the amount of time ittakes the trough to drain.
A minimum
B maximum
C y-intercept
D zero
B. Select the expression that will reveal the property.
A 4(0)2 – 32(0) + 63
B (2t – 7) (2t – 9)
C 4(t – 4)2 – 1
D 4(t – 8)2 + 47
14715
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Page 17
FSA Algebra 1 Practice Test Questions
Go On
Session 2
8. Florida has 67 counties, and Texas has 254 counties.
• The mean population for the state of Florida by county is 291,834with a standard deviation of 467,012.03, and the median is 107,056.
• The mean population for the state of Texas by county is 104,127 witha standard deviation of 374,012.2261, and the median is 18,293.
Some of the data for both states are shown.
A business moves its corporate location from Texas to Florida. As a resultof the move, 8,193 people move from the largest Texas county to thesmallest Florida county, in terms of population.
Select all the population statistics that will be affected by this populationchange.
14712
Texas
PopulationCounty
95Smallest
7,057First quartile
18,293Median
49,426Third quartile
4,336,853Largest
Florida
PopulationCounty
8,349Smallest
27,013First quartile
107,056Median
337,362Third quartile
2,617,176Largest
Increases Decreases Stays the SameInterquartileRange of Florida
Mean of Texas
Median of Florida
StandardDeviation of Texas
A B C
D E F
G H I
J K L
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Go OnPage 18
FSA Algebra 1 Practice Test QuestionsSession 2
9. The graph shows the number of acres, in millions, of farmland in theUnited States from 1975 to 2008.
Which statement describes the average rate of change of the graph?
A The number of acres of farmland in the United States decreases by0.21 million each year.
B The amount of farmland in the United States decreases by 4.8 million acres each year.
C The time it takes the farmland in the United States to decrease by160 acres is 33 years.
D Every 5 years, the amount of farmland in the United Statesdecreases by 20 acres.
14704
Acr
es
(in
mil
lio
ns)
1,0801,0601,0401,0201,000
980960940920900
0
Years1975 19851980 19951990 20052000 2010
U.S. Farmland Area
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Page 19
FSA Algebra 1 Practice Test Questions
Go On
Session 2
10. The points on the graph show the population data, in millions, of thestate of Florida for each decade from 1900 to 2000. The data aremodeled by the function P (x) = 506975(1.43)x, shown on the graph.
What is the domain of the graph of P (x) that is shown?
A x ≥ 0
B 1900 ≤ x ≤ 2000
C all whole numbers
D 0 ≤ x ≤ 10
14604
2 4 6 8 10
181716151413121110987654321
y
x0
Florida Population since 1900
Decades since 1900
Po
pu
lati
on
(in
mil
lio
ns)
1 3 5 7 9 11
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Go OnPage 20
FSA Algebra 1 Practice Test QuestionsSession 2
11. A bird drops a stick from the top of Miami Tower. The height of the stickafter x seconds is given by f (x) = 625 – 16x2.
1010
What is the maximum value of f (x)?
14705
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1111111
2222222
3333333
4444444
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6666666
7777777
8888888
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Page 21
FSA Algebra 1 Practice Test Questions
Go On
Session 2
12. A librarian in a large city collects data about his summer readingprogram. He collects data for two years, 2011 and 2012, on how many books are read each week. His ordered data sets are shown.
The librarian writes a summary about his data, as shown.
Choose the correct word or phrase to fill in each blank in the summary.For each blank, fill in the circle before the word or phrase that is correct.
If you compare the means, it appears that in 2011 _________
[A approximately 71 fewer B approximately 71 more C approximately
15,229 fewer D approximately 15,229 more] books were read on
average than in 2012. When the medians for the two years are
compared, the data show that in 2011 _________ [A approximately
71 fewer B approximately 71 more C approximately 15,229 fewer
D approximately 15,229 more] books were read than in 2012. As far as
the spread of the data, both data sets have the same _________
[A range B lower quartile C upper quartile D interquartile range ].
15045
2011 2012
44,126 44,901 55,080 58,546 79,984 99,860
35,001 41,534 68,550 75,534 76,617 84,834
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Page 22
FSA Algebra 1 Practice Test QuestionsSession 2
This is the end of Session 2.
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Page 23
BLANK PAGE
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Office of AssessmentFlorida Department of Education, Tallahassee, FloridaCopyright © 2015 State of Florida, Department of State
SMART Notebook
Name: ___________________________
Algebra 1: Quadratic Word Problem Quiz
1. An object is launched up in the air. The equation for its height h in feet over t seconds is given by the function below.
a. What is the objects maximum height?
b. After how many seconds will it hit the ground?
Name: ___________________________
Algebra 1: Quadratic Word Problem Quiz
1. An object is launched up in the air. The equation for its height h in feet over t seconds is given by the function below.
c. What is the objects maximum height?
d. After how many seconds will it hit the ground?
SMART Notebook
Name: ________________________________
Algebra Section 6a: Quadratic Functions Standard Form Examination Practice Test
1. Circle the correct features and equation for the quadratic graph below.
a. Multiple Choice: What is the Vertex?
b. Multiple Choice: What is the Axis of Symmetry?
c. Multiple Choice: What are the Solutions/Zeros?
d. Multiple Choice: What is the Equation?
2. Find solutions to systems by creating a table and graphing the functions.
x
0
1
2
3
4
5
6
Solutions to the System: (_____, _____) and (______, ______)
3. Graph the following quadratic function by finding the key features listed below. Must show work in the boxes.
·
· (s)
·
·
Axis of Symmetry:
y-intercept:
x-intercept(s):
Vertex:
4. Graph the following quadratic function by finding the key features listed below. Must show work in the boxes.
·
· (s)
·
·
Axis of Symmetry:
y-intercept:
x-intercept(s):
Vertex:
5. Multiple Choice: An object is launched up in the air. The equation for its height h in feet over t seconds is given by the function below.
What is the maximum height of the object?
a. 25 feet
b. 190 feet
c. 129 feet
d. 221 feet
When will the object hit the ground?
a. 7.2 seconds
b. 5.3 seconds
c. 6.6 seconds
d. 8.5 seconds
6. Select all that apply.
· The graph has zeros at and
· The graph has its axis of symmetry at
· The graph has a minimum point at
· The graph has an x-intercept at
· The graph has a y-intercept at
· The graph represents the function
SMART Notebook
Name: ________________________________
Algebra Section 6a: Quadratic Functions Standard Form Examination Practice Test
1. Circle the correct features and equation for the quadratic graph below.
a. Multiple Choice: What is the Vertex?
b. Multiple Choice: What is the Axis of Symmetry?
c. Multiple Choice: What are the Solutions/Zeros?
d. Multiple Choice: What is the Equation?
2. Find solutions to systems by creating a table and graphing the functions.
x
0
1
2
3
4
5
6
Solutions to the System: (_____, _____) and (______, ______)
3. Graph the following quadratic function by finding the key features listed below. Must show work in the boxes.
·
· (s)
·
·
Axis of Symmetry:
y-intercept:
x-intercept(s):
Vertex:
4. Graph the following quadratic function by finding the key features listed below. Must show work in the boxes.
·
· (s)
·
·
Axis of Symmetry:
y-intercept:
x-intercept(s):
Vertex:
5. Multiple Choice: An object is launched up in the air. The equation for its height h in feet over t seconds is given by the function below.
What is the maximum height of the object?
a. 25 feet
b. 190 feet
c. 129 feet
d. 221 feet
When will the object hit the ground?
a. 7.2 seconds
b. 5.3 seconds
c. 6.6 seconds
d. 8.5 seconds
6. Select all that apply.
· The graph has zeros at and
· The graph has its axis of symmetry at
· The graph has a minimum point at
· The graph has an x-intercept at
· The graph has a y-intercept at
· The graph represents the function
SMART Notebook
Algebra 1: Quadratic Functions Standard Form Review Questions
1. For what value of x does the following quadratic function reach its maximum value?
a.
b.
c.
d.
2. Which equation matches the graphed function?
a.
b.
c.
d.
3. Determine the positive zero of the following function.
a.
b.
c.
d.
4. Which function will have no real roots (no x-intercepts)?
a.
b.
c.
d.
5. For what value of x does ?
a.
b.
c.
d.
6. Which statements are true about the graph?
I. The parabola opens down
II. It’s y-intercept is less than
III. The factored for of the graph is
a. III only
b. I and II only
c. II and III only
d. I, II, and III only
SMART Notebook
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