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The School District of Palm Beach County
Department of K-12 Curriculum
Winter Break Student Packet
Algebra 1
Algebra 1 Secondary Education MAFS.912.F‐IF.1.1 Calculator Neutral for this Standard
Name: _______________________________________________________ Date: ___/___/___ 1.
Complete the function by entering values from the box below into the table.
2, 5, 10 x y 1 2 2 5 3
2
2. Which of the following statements accurately describes the mapping diagram below?
A.
B.
C.
D.
x y 2 3 4 7 9 This diagram is not a function because 7 is used twice. This diagram is a function, since no domain values are repeated. This diagram is not a function because there are too many domain values. This diagram is not a functions because there aren’t enough range values. 3. Which of the relations below is not a function?
A.
B.
C.
D.
{(2, 7), (4, 13), (6, 19), (8, 25)} {(5, 2), (7, 2), (9, 2), (11, 2)} {(3, 1), (3, 4), (3, 9), (3, 16)} {(‐8, 8), (‐7, 7), (‐6, 6), (‐5, 5)} Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.F‐IF.1.1 Calculator Neutral for this Standard
4. Select all of the following that are functions. A. {(2, 4);(4, 2); (3, 4); (4, 3)} B. {(3, 13); (2, 12); (4, 14); (6, 16)} C. D. x
y
x
2 4 8 16 6
8
16
14
18
26
E. y
2
3
5
7
F. Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.F‐IF.1.1 Calculator Neutral for this Standard
5. After graphing the function below, Brenda noticed that one point was missing. Which of the following is the missing point in Brenda’s graph? A. (0, 3) B. (1, 2) C. (2, ‐1) D. (3, 2) Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.F‐IF.1.2 Calculator Neutral for this Standard
Name: _______________________________________________________ Date: ___/___/___ 1. Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades. The graph below shows the annual growth of the python population from beginning 2000 to 2010. What is the domain of the graph that is shown? A.
B.
C.
D.
X > 0 X < 10 0 < X < 10 0 < X < 1200 2. Melody graphed the function below to model the results of her experiment. What is the domain of Melody’s function? Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.F‐IF.1.2 Calculator Neutral for this Standard
3. Tori has a cell phone plan that charges $0.09 for each text message sent. Tori plans to spend no more than $40 per month on texting bill each month. If c(t )  0.09t represents the total number of text (t) that you send each month, what is the domain of the function? 4. Aron wrote the function f(x) = 25x – 15 find the amount of money he would make after washing x cars. Select all of the values below that are in the domain of Aron’s function. A. 2 B. 2.3 C. 5 D. 7.1 E. 10 5. Identify the domain of the function graphed below. Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.N‐RN.1.1 Calculator Not Allowed Name: _______________________________________________________ Date: ___/___/___ 1
1. Ned shows that 16  16 2 . Part of his work is shown below. Which expression or equation can be placed in the blank to correctly complete Ned’s work? 1
16 = 4 = 4 = 4
A.
4
1 1

2 2
1
2
= __________ = 16 B. 4 + 4 C. 4  4 = 44 D. 4  4 = 44
2. Select all of the expressions that are equivalent to the expression 64  3 . 2
16 A.
B. 16 C.
42 643 D.
E.
F.
3
642  64 
3
2
3. Larry and Jen are working together to simplify the expression 3 1252 . 1
3
Larry’s work shows: 125  5 2
Jen’s work shows: 125 3  25 Who is correct? Explain. Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.N‐RN.1.1 Calculator Not Allowed  12  13 
4. Rewrite the expression  7  7  as a radical.   
5. Match the expressions in the first column to their equivalent expression in the second column. 1
3
3 2
13 4 A. 13  
B.
13 
1
2
C.
13 
2
3
2
2
 
 98  23


D. 13  

132 133 4
133 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.N‐RN.1.2 Calculator is Neutral
Name: _______________________________________________________ Date: ___/___/___ 1. Rewrite each radical expression as an exponential expression. k 8
k k3 8
k2 2. Rewrite the expression below as a radical. 2
 7 3

  22 x 
3. Select all of the expressions below that are equivalent to the expression 3
1
13
3
y
6
A.
y43 y
B.
6
y13
. 216
 y4 y 3
 D. 
 6 


E. 6 y
43
y y
 6
C. 
10
3

 
1
3
y 
  216 
F. 
13
Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.N‐RN.1.2 1
 1080  2
4. Which expression is equivalent to 
 .  625 
25
A.
C. 6 30
25
D. 6 30
36 30
25
B.
25
36 30
5. Which of the following is equivalent to the expression 13 x 52 . A.
1
4
x 13
B.
x 52 C.
x4 D. x 13 Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Calculator is Neutral
Algebra 1 Secondary Education MAFS.912.N‐RN.2.3 Calculator NOT permitted
for this Standard Name: _______________________________________________________ Date: ___/___/___ 1. Write an algebraic proof to show whether the solution to the equation below is rational or irrational. x  2 
7 2. Is the product of 2 and 8 rational or irrational? Explain: ___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
__________________________________________________________________________. 3. The rectangle shown below has a length of 6 feet. 6 feet The value of the area of the rectangle, in square feet, is an irrational number. The number that represents the width of the rectangle must be ? Select the best answer to fill in the blank. A. A whole number. B. A rational number. C. An irrational number. D. A non‐real complex number Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education Algebra 1 Secondary Education MAFS.912.N‐RN.2.3 Calculator NOT permitted
for this Standard 4. Does either item below contradict the statement: “The sum of two rational numbers is a rational number”? Item I: 2 1 11
 
5 3 15
Item II: A.
B.
C.
D.
1 4
  1 5 5
Neither Item I nor Item II contradicts the given statement. Both Item I and Item II contradict the given statement. Item I contradicts the statement. Item II is an example when the statement is true. Item II contradicts the statement. Item I is an example when the statement is true. 5. Select all of the following that are rational. A. 25  9 B.    2 C.   2 D. E. 7 6 45
5
F. x  y , where x and y are irrational numbers Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education