1-21-20 Review for Section 6a Test.notebook · 1/1/2020 · 12120 Review for Section 6a Test.notebook 1 January 21, 2020 1/21/20 Algebra 1 Warmup: Graph the following quadratic equation

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


2

January 21, 2020

Combination__ __ __ __ __ __#1 #2 #3 #4 #5 #6

Lockbox Six Questions Quadratics Standard Form.docx


3

January 21, 2020

practice testPractice Test Quadratic Functions Standard Form Examination.docx


4

January 21, 2020

All Quiz Retakes are Due Tomorrow for Section 6a

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

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-2

-1

0

1

Solutions to the System: (_____, _____), (______, ______)

Name: ___________________________________

Algebra 1: Solving System by Making a Table

x

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-5

-4

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-2

-1

0

1

x

-6

-5

-4

-3

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0

1


x

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-2

-1

0

1

2

3

4


x

-3

-2

-1

0

1

2

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SMART Notebook

SMART Notebook

Find the y-intercept

Find the x-intercept(s)

Find the Vertex



Find the Vertex



Find the Vertex



Find the Vertex



Find the Vertex



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?


When will the ball hit the ground?




When will the object hit the ground?

Answer the following multiple choice questions

Which equations are represented by the graphs?


Which equation is represented by the graph?


Rank the following equations from LEAST STEEP to STEEPEST

a.

b.

c.

d.

e.


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 Vertex



Find the Vertex



Find the Vertex



Find the Vertex



Find the Vertex



Find the Vertex




When will the ball hit the ground?






Which equations are represented by the graphs?


Which equation is represented by the graph?



a.

b.

c.

d.

e.


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


SMART Notebook

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.

All trademarks and trade names found in this publication are the property oftheir respective owners and are not associated with the publishers of thispublication.

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

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7777777

8888888

9999999

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0000000

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2222222

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4444444

5555555

6666666

7777777

8888888

9999999

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0000000

1111111

2222222

3333333

4444444

5555555

6666666

7777777

8888888

9999999

aaaaaaa

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1111111

2222222

3333333

4444444

5555555

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7777777

8888888

9999999

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4444444

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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

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

BLANK PAGE

Session 1

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

• •

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

Go OnPage 10


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. ?


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

Go OnPage 12


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


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)


This is the end of Session 1.

Session 2

Go OnPage 16


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


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

Go OnPage 18


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


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

Go OnPage 20


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

5555555

6666666

7777777

8888888

9999999

aaaaaaa


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


This is the end of Session 2.

BLANK PAGE

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:


·

· (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.


a. 25 feet

b. 190 feet

c. 129 feet

d. 221 feet


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 (______, ______)


·

· (s)

·

·

Axis of Symmetry:

y-intercept:

x-intercept(s):

Vertex:


·

· (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.


a. 25 feet

b. 190 feet

c. 129 feet

d. 221 feet


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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Documents

1-21-20 Review for Section 6a Test.notebook · 1/1/2020 · 12120 Review for Section 6a Test.notebook 1 January 21, 2020 1/21/20 Algebra 1 Warmup: Graph the following quadratic equation