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Algebra 1 Semester 2 Instructional Materials 2015-2016 Released 12/17/15 2015-2016 Algebra 1 Semester 2 Instructional Materials for the WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Math Common Final blueprint for this course. When used as test practice, success on the Instructional Materials does not guarantee success on the district math common final. Students can use these Instructional Materials to become familiar with the format and language used on the district common finals. Familiarity with standards vocabulary and interaction with the types of problems included in the Instructional Materials can result in less anxiety on the part of the students. Teachers can use the Instructional Materials in conjunction with the course guides to ensure that instruction and content is aligned with what will be assessed. The Instructional Materials are not representative of the depth or full range of learning that should occur in the classroom.
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Page 1: Algebra 1 Semester 2 Instructional Materials...Algebra 1 Semester 2 Instructional Materials 2015-2016 Released 12/17/15 4. Which of the following is the solution for x |in the equation

Algebra 1 Semester 2 Instructional Materials 2015-2016

Released 12/17/15

2015-2016

Algebra 1 Semester 2

Instructional Materials for the WCSD Math Common Finals

The Instructional Materials are for student and teacher use and are aligned to the

Math Common Final blueprint for this course. When used as test practice, success

on the Instructional Materials does not guarantee success on the district math

common final.

Students can use these Instructional Materials to become familiar with the format

and language used on the district common finals. Familiarity with standards

vocabulary and interaction with the types of problems included in the Instructional

Materials can result in less anxiety on the part of the students.

Teachers can use the Instructional Materials in conjunction with the course guides

to ensure that instruction and content is aligned with what will be assessed. The

Instructional Materials are not representative of the depth or full range of learning

that should occur in the classroom.

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Algebra 1 Semester 2 Instructional Materials 2015-2016

Released 12/17/15

1. Which of the following graphs represents 𝑓(π‘₯) =1

2|π‘₯ βˆ’ 3| βˆ’ 2 ?

A.

C.

B.

D.

2. Which of the following functions represent 𝑔(π‘₯) and β„Ž(π‘₯) based on the following information:

𝑔(π‘₯) is the result of reflecting the graph of 𝑓(π‘₯) = |π‘₯| over the x-axis, then translating

the function up one unit.

β„Ž(π‘₯) is the result of translating the graph of 𝑓(π‘₯) = |π‘₯| up one unit, then reflecting the

function over the x-axis.

A. 𝑔(π‘₯) = βˆ’|π‘₯| + 1

β„Ž(π‘₯) = βˆ’|π‘₯| + 1

C. 𝑔(π‘₯) = βˆ’|π‘₯ + 1| β„Ž(π‘₯) = βˆ’|π‘₯ βˆ’ 1|

B. 𝑔(π‘₯) = βˆ’|π‘₯| βˆ’ 1

β„Ž(π‘₯) = βˆ’|π‘₯| + 1

D. 𝑔(π‘₯) = βˆ’|π‘₯| + 1

β„Ž(π‘₯) = βˆ’|π‘₯| βˆ’ 1

3. Which of the following is the solution for x in the equation βˆ’2|π‘₯ + 3| + 6 = 10 ?

A. π‘›π‘œ π‘ π‘œπ‘™π‘’π‘‘π‘–π‘œπ‘› C. π‘₯ = 1

B. π‘₯ = βˆ’5, π‘₯ = βˆ’1 D. π‘₯ = βˆ’5

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4. Which of the following is the solution for x in the equation βˆ’3|π‘₯ + 4| = βˆ’6 ?

A. π‘₯ = βˆ’2 C. π‘₯ = βˆ’2 and π‘₯ = 6

B. π‘₯ = βˆ’6 and π‘₯ = βˆ’2 D. π‘›π‘œ π‘ π‘œπ‘™π‘’π‘‘π‘–π‘œπ‘›

5. If 𝑓(π‘₯) = 2|π‘₯ + 3| βˆ’ 4 and 𝑔(π‘₯) =1

2π‘₯ + 5, use the tables below find the x-value(s) where

𝑓(π‘₯) = 𝑔(π‘₯).

𝑓(π‘₯) = 2|π‘₯ + 3| βˆ’ 4

π‘₯ 𝑓(π‘₯) βˆ’7 4 βˆ’6 2 βˆ’5 0 βˆ’4 βˆ’2 βˆ’3 βˆ’4 βˆ’2 βˆ’2 βˆ’1 0 0 2 1 4 2 6 3 8 4 10

𝑔(π‘₯) =1

2π‘₯ + 5

π‘₯ 𝑔(π‘₯) βˆ’7 1.5 βˆ’6 2 βˆ’5 2.5 βˆ’4 3 βˆ’3 3.5 βˆ’2 4 βˆ’1 4.5 0 5 1 5.5 2 6 3 6.5 4 7

A. π‘₯ = 2, 4, 6 C. π‘₯ = βˆ’6, 2

B. π‘₯ = 2, 6 D. π‘›π‘œ π‘ π‘œπ‘™π‘’π‘‘π‘–π‘œπ‘›

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6. Which graph below models the solutions to the equation βˆ’3|π‘₯ + 2| + 4 = βˆ’2π‘₯ ?

A.

C.

B.

D.

7. What is the simplified form of (4π‘”βˆ’3β„Ž4)βˆ’3 ?

A.

βˆ’12𝑔6

β„Ž12 C.

12𝑔9

β„Ž

B. βˆ’64𝑔9

β„Ž12 D.

𝑔9

64β„Ž12

8. Let 𝑓(π‘₯) = βˆ’3𝑐1/2 and 𝑔(π‘₯) = 2𝑐15/2π‘‘βˆ’8. Find β„Ž(π‘₯) = 𝑓(π‘₯) βˆ™ 𝑔(π‘₯).

A. β„Ž(π‘₯) =

βˆ’6𝑐8

𝑑8 C. β„Ž(π‘₯) =

βˆ’5𝑐7

𝑑8

B. β„Ž(π‘₯) =6𝑑8

𝑐8 D. β„Ž(π‘₯) = βˆ’6𝑐𝑑

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9. What is the simplified form of 36π‘šβˆ’4𝑛6

4π‘šπ‘›βˆ’2π‘βˆ’4 ? (Assume that π‘š β‰  0, 𝑛 β‰  0, and 𝑝 β‰  0)

A. 9𝑛4𝑝4

π‘š3 C.

9𝑛8𝑝4

π‘š5

B. 9𝑛8

π‘š5𝑝4 D.

9π‘š5

𝑛8𝑝4

10. Simplify: √18

42

A. √21

7 C. 3

B. √63

7 D. √3

11. Find the simplified form of the following expression, assuming π‘₯ β‰  0, 𝑦 β‰  0, and 𝑧 β‰  0:

(2π‘₯βˆ’4𝑦5𝑧3

π‘₯7𝑦𝑧0)

βˆ’2

A. βˆ’4𝑧6

π‘₯6𝑦8 C.

π‘₯6

4𝑦8𝑧6

B. π‘₯22

4𝑦8𝑧6 D.

𝑦5𝑧3

4π‘₯11

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12. Which of the following expressions is equivalent to (3βˆ’1π‘₯0)βˆ’2 + (2𝑦0)βˆ’3 βˆ’ 5 [3 (1

3π‘₯3)

0

]?

A. 𝑒𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑 C. βˆ’57

8

B. 41

8 D. βˆ’6

7

8

13. A moving company sells boxes for packing items. The large box has a volume of

6π‘₯3 + 2π‘₯2 + 3 cubic units. The medium box has a volume of 2π‘₯3 + 8π‘₯ βˆ’ 5 cubic units. A

customer purchases two large boxes and one medium box. What is the total volume of the

purchased boxes?

A. 14π‘₯6 + 12π‘₯3 + 1 cubic units C. 14π‘₯3 + 2π‘₯2 + 8π‘₯ βˆ’ 2 cubic units

B. 14π‘₯6 + 4π‘₯2 + 8π‘₯ + 1 cubic units D. 14π‘₯3 + 4π‘₯2 + 8π‘₯ + 1 cubic units

14. What is the product of the binomials: (π‘Ÿ βˆ’ 8)(π‘Ÿ + 5) ?

A. π‘Ÿ2 βˆ’ 40 C. π‘Ÿ βˆ’ 3

B. π‘Ÿ2 + 13π‘Ÿ βˆ’ 40 D. π‘Ÿ2 βˆ’ 3π‘Ÿ βˆ’ 40

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15. What is the simplified form of (𝑏 + 7)2 ?

A. 𝑏2 + 14𝑏 + 49 C. 𝑏2 + 49𝑏 + 49

B. 𝑏2 + 49 D. 𝑏 + 49

16. The polynomial π‘₯2 + 11π‘₯ + 30 is factorable. One factor is (π‘₯ + 6), what is the other

factor?

A. (π‘₯ + 1) C. (π‘₯ βˆ’ 5)

B. (π‘₯ + 3) D. (π‘₯ + 5)

17. Which of the following is a factor of 3π‘₯2 βˆ’ 12 ?

A. (π‘₯ + 12) C. (π‘₯ βˆ’ 2)

B. (π‘₯ βˆ’ 4) D. (π‘₯ + 4)

18. Which of the following is a factor of 2π‘₯2 + 7π‘₯ βˆ’ 30 ?

A. (π‘₯ βˆ’ 5) C. (π‘₯ βˆ’ 12)

B. (π‘₯ + 6) D. (π‘₯ βˆ’ 6)

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19. Select all of the expressions that are equivalent to βˆ’π‘₯2 + 3π‘₯ + 10.

I. (π‘₯ + 5)(π‘₯ βˆ’ 2)

II. βˆ’(π‘₯ + 2)(π‘₯ βˆ’ 5)

III. (βˆ’π‘₯ βˆ’ 2)(π‘₯ βˆ’ 5)

IV. (π‘₯ + 2)(5 βˆ’ π‘₯)

A. I only C. II and III

B. II only D. II, III, and IV

20. What is the simplified form of (βˆ’3𝑏 + 7)2?

A. 9𝑏2 βˆ’ 42𝑏 + 49 C. βˆ’9𝑏2 βˆ’ 42𝑏 + 49

B. 9𝑏2 + 49 D. βˆ’9𝑏2 + 49

21. Find an equivalent form of 2(𝑏 + 7)2?

A. 2𝑏 + 14 C. 2𝑏2 + 98

B. 2𝑏2 + 28𝑏 + 98 D. 4𝑏2 + 56𝑏 + 196

22. The expression π‘₯2 + 𝑏π‘₯ + 𝑐 factors to the expression (π‘₯ + 𝑝)(π‘₯ + π‘ž) where 𝑏, 𝑐, 𝑝, and π‘ž

represent non-zero rational numbers. If 𝑏 < 0 and 𝑐 < 0, then which of the following statements

is true?

A. both 𝑝 and π‘ž are positive

B. 𝑝 is positive and π‘ž is negative where |𝑝| > |π‘ž|

C. 𝑝 is positive and π‘ž is negative where |𝑝| < |π‘ž|

D. both 𝑝 and π‘ž are negative

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23. What is the sum of the solutions of π‘₯2 + 8π‘₯ = 84 ?

A. βˆ’8 C. 8

B. βˆ’5 D. 0

24. Solve for x in 16π‘₯2 βˆ’ 49 = 0 .

A. π‘₯ = Β±

49

16 C. π‘₯ =

16

49

B. π‘₯ = Β±7

4 D. π‘₯ =

7

4

25. The height (β„Ž), in feet, of a person jumping off a diving platform can be modeled by the equation

β„Ž = βˆ’16𝑑2 + 4𝑑 + 6 where 𝑑 represents the time in seconds the person is in the air. After how

many seconds does the person jumping off the platform enter the water?

A. βˆ’

1

2 π‘ π‘’π‘π‘œπ‘›π‘‘ C.

4

3 π‘ π‘’π‘π‘œπ‘›π‘‘π‘ 

B. 3

4 π‘ π‘’π‘π‘œπ‘›π‘‘ D. 2 π‘ π‘’π‘π‘œπ‘›π‘‘π‘ 

26. Given the equation and graph of 𝑦 = βˆ’π‘₯2 βˆ’ 1, what is the domain and range?

A. Domain: π‘Žπ‘™π‘™ π‘Ÿπ‘’π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘ 

Range: 𝑦 β‰₯ 1

B. Domain: π‘Žπ‘™π‘™ π‘Ÿπ‘’π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘ 

Range: 𝑦 ≀ 1

C. Domain: π‘Žπ‘™π‘™ π‘Ÿπ‘’π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘ 

Range: 𝑦 ≀ βˆ’1

D. Domain: βˆ’1 ≀ π‘₯ ≀ 1

Range: 𝑦 ≀ βˆ’1

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27. Which of the following quadratic functions represents the function graphed below?

A. 𝑦 =

1

2π‘₯2 βˆ’ 5

B. 𝑦 = 2π‘₯2 βˆ’ 5

C. 𝑦 =1

2(π‘₯ + 5)2

D. 𝑦 = 2(π‘₯ βˆ’ 5)2

28. Which of the following graphs represents 𝑓(π‘₯) = (π‘₯ βˆ’ 4)2 + 3 ?

A.

C.

B.

D.

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29. Translate the graph of 𝑓(π‘₯) = π‘₯2 four units to the left, three units up and compress the graph by a

factor of 1

2. Which of the following is the function after the transformations?

A. 𝑓(π‘₯) =

1

2(π‘₯ + 4)2 + 3 C. 𝑓(π‘₯) = 2(π‘₯ + 4)2 + 3

B. 𝑓(π‘₯) =1

2(π‘₯ βˆ’ 4)2 + 3 D. 𝑓(π‘₯) = 2(π‘₯ βˆ’ 4)2 + 3

30. Which of the following is the vertex for 𝑓(π‘₯) = βˆ’4(π‘₯ βˆ’ 5)2 + 2 ?

A. (25, 2) C. (βˆ’5, 2)

B. (βˆ’20, 2) D. (5, 2)

31. What is the y-intercept of the graph of 𝑦 = 2(π‘₯ βˆ’ 1)2 + 3 ?

A. (1, 3) C. (0, 3)

B. (0, 5) D. (0, 1)

32. Given the graph of 𝑦 = π‘₯2, what is the solution for x after the transformation down four units and

left three units?

A. π‘₯ = βˆ’2, π‘₯ = 2

B. π‘₯ = 3

C. π‘₯ = βˆ’5, π‘₯ = βˆ’1

D. π‘₯ = βˆ’4, π‘₯ = 3

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33. Which of the following are the x-intercepts for 𝑦 = (π‘₯ + 2)2 βˆ’ 16

A. (βˆ’6, 0), (2, 0) C. (βˆ’6, 0), (βˆ’2, 0)

B. (βˆ’2, 0), (16, 0) D. (2, 0), (βˆ’16, 0)

34. Which of the following is a solution to 2π‘₯2 + 14π‘₯ = 18 ?

A. π‘₯ =7 Β± √85

2 C. π‘₯ =

βˆ’7 Β± √85

2

B. π‘₯ =βˆ’7 Β± √13

2 D. π‘₯ =

14 ± √340

4

35. Which of the following is the vertex form for 𝑓(π‘₯) = π‘₯2 + 4π‘₯ + 7 ?

A. 𝑓(π‘₯) = (π‘₯ + 2)2 + 3 C. 𝑓(π‘₯) = (π‘₯ + 2)2 + 7

B. 𝑓(π‘₯) = (π‘₯ βˆ’ 2)2 + 4 D. 𝑓(π‘₯) = (π‘₯ βˆ’ 2)2 + 3

36. What is the vertex of the function 𝑓(π‘₯) = βˆ’2π‘₯2 + 8π‘₯ βˆ’ 9 ?

A. (βˆ’4, βˆ’73) C. (βˆ’2, βˆ’33)

B. (4, βˆ’9) D. (2, βˆ’1)

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37. Before a truck can drive through a tunnel, it must be determined if the load can fit safely

through the tunnel. The parabola 𝑓(π‘₯) = βˆ’1

4(π‘₯ βˆ’ 8)2 + 16 models the curve of the tunnel.

If a truckload is 12 𝑓𝑒𝑒𝑑 high what is the maximum width it could be?

A. 4 𝑓𝑒𝑒𝑑

B. 8 𝑓𝑒𝑒𝑑

C. 12 𝑓𝑒𝑒𝑑

D. 16 𝑓𝑒𝑒𝑑

38. Describe how the graph of the function 𝑓(π‘₯) = π‘₯2 changes after the transformation

𝑓(π‘₯ + 7) is applied.

A. The graph is translated 7 units up. C. The graph is translated 7 units left.

B. The graph is translated 7 units down. D. The graph is translated 7 units right.

39. Which of the following properly describes the graph of the function 𝑓(π‘₯) =1

2(π‘₯ βˆ’ 6)2 βˆ’ 10 ?

A. The graph of the function is compressed vertically by a factor of 1

2 and translated to the

right 6 units and down 10 units from the parent function.

B. The graph of the function is compressed vertically by a factor of 1

2 and translated to the

left 6 units and down 10 units from the parent function.

C. The graph of the function is stretched vertically by a factor of 2 and translated to the

left 6 units and down 10 units from the parent function.

D. The graph of the function is stretched vertically by a factor of 2 and translated to the

right 6 units and down 10 units from the parent function.

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40. If 𝑓(π‘₯) = 𝑔(π‘₯) and 𝑓(π‘₯) = 2(π‘₯ βˆ’ 5)2 + 3, then which of the following functions can

represent 𝑔(π‘₯)?

A. 𝑔(π‘₯) = π‘₯2 βˆ’ 10π‘₯ + 28 C. 𝑔(π‘₯) = 2π‘₯2 βˆ’ 20π‘₯ + 53

B. 𝑔(π‘₯) = 2π‘₯2 βˆ’ 10π‘₯ + 3 D. 𝑔(π‘₯) = 2π‘₯2 βˆ’ 20π‘₯ + 50

41. Sarah is standing on the top of a diving board with a height of 50 feet. When she dives off,

she reaches a height of 30 feet in 2 seconds. Determine the quadratic function, 𝑓(𝑑), that

would model Sarah’s height 𝑑 seconds after she jumps off the diving board.

A. 𝑓(𝑑) = βˆ’5(𝑑 βˆ’ 0)2 + 30 C. 𝑓(𝑑) = βˆ’5(𝑑 βˆ’ 0)2 + 50

B. 𝑓(𝑑) = 5(𝑑 βˆ’ 0)2 + 30 D. 𝑓(𝑑) = (𝑑 βˆ’ 0)2 + 50

42. A rocket was shot up into the air. The graph shows the height of its flight 𝑑 seconds after it

was shot. At about what height was the rocket after 3 seconds? How long did it take the

rocket to come back down to the ground?

A. The height of the rocket was 12 yards after 3 seconds. It took the rocket 12 seconds to

return to the ground.

B. The height of the rocket was 3 yards after 3 seconds. It took the rocket 12 seconds to

return to the ground.

C. The height of the rocket was 30 yards after 3 seconds. It took the rocket 0 seconds to

return to the ground.

D. The height of the rocket was 30 yards after 3 seconds. It took the rocket 12 seconds to

return to the ground.

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43. Which of the following best describes the data in the table?

π‘₯ 1 2 3 4

𝑦 3 9 27 81

A. Exponential with a growth factor of 3

B. Linear with a rate of change of 6

C. Quadratic with a second difference of 12

D. none of the above

44. Since the year 2001 the population of community A grows exponentially as illustrated in

the table. The exponential rate of growth is 1.3. What are the units for the rate of growth in

the table?

π‘¦π‘’π‘Žπ‘Ÿ 2001 2002 2003 2004 2005 2006 π‘π‘’π‘œπ‘π‘™π‘’ 1200 1560 2028 2636.4 3427.32 4455.52

A. people per year

B. years per people

C. years

D. people

45. Determine which of the following equations represent exponential growth or decay.

Equation 1 Equation 2 Equation 3 Equation 4

𝑦 = 1.5βˆ’π‘₯

𝑦 = 0.8π‘₯

𝑦 = 0.5βˆ’π‘₯

𝑦 = 2.7π‘₯

A. Equation 1: Growth

Equation 2: Growth

Equation 3: Decay

Equation 4: Decay

C. Equation 1: Decay

Equation 2: Growth

Equation 3: Growth

Equation 4: Decay

B. Equation 1: Decay

Equation 2: Decay

Equation 3: Growth

Equation 4: Growth

D. Equation 1: Growth

Equation 2: Decay

Equation 3: Decay

Equation 4: Growth

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46. If 𝑓(π‘₯) = 3 βˆ™ 4π‘₯ and 𝑔(π‘₯) = 3 βˆ™ 2π‘₯, compare the functions and determine which of the

following statements is correct.

A. The x-intercept of 𝑓(π‘₯) is greater than the x-intercept of 𝑔(π‘₯).

B. The y-intercept of 𝑓(π‘₯) is greater than the y-intercept of 𝑔(π‘₯).

C. The functions increase at the same rate.

D. The functions have the same y-intercept.

47. What is the solution for x in 4π‘₯ = 64 ?

A. π‘₯ = 16 C. π‘₯ = 3

B. π‘₯ = 4 D. π‘₯ = 2

48. What is the solution for x in 52π‘₯βˆ’9 = 125 ?

A. π‘₯ = 6 C. π‘₯ = 5

B. π‘₯ = 4 D. π‘₯ = 3

49. What is the solution to the system graphed?

A. (2, 4)

B. (4, 2)

C. (1, 2)

D. π‘›π‘œ π‘ π‘œπ‘™π‘’π‘‘π‘–π‘œπ‘›

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50.

What is the solution for x in the system?

{𝑦 = 8

𝑦 = 2π‘₯

A. π‘₯ =

1

3 C. π‘₯ = 1

B. π‘₯ =1

2 D. π‘₯ = 3

51. Which of the following represents the function 𝑓(π‘₯) = 2π‘₯ βˆ’ 5 ?

A.

C.

B.

D.

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52. Write a recursive formula for the sequence below, assuming 𝑓(1) is the first term in the sequence:

3, βˆ’6, 12, βˆ’24, 48 …

A. 𝑓(1) = βˆ’6 and 𝑓(𝑛) = 𝑓(𝑛 βˆ’ 1) βˆ™ (βˆ’2), for 𝑛 β‰₯ 2

B. 𝑓(1) = βˆ’2 and 𝑓(𝑛) = 𝑓(𝑛 βˆ’ 1) βˆ™ 3, for 𝑛 β‰₯ 2

C. 𝑓(1) = 3 and 𝑓(𝑛) = 𝑓(𝑛 βˆ’ 1) βˆ™ (βˆ’2), for 𝑛 β‰₯ 2

D. 𝑓(1) = 3 and 𝑓(𝑛) = 𝑓(𝑛 βˆ’ 1) βˆ’ 9, for 𝑛 β‰₯ 2

53. Write an explicit formula for the geometric sequence given π‘Ž3 = 1 and π‘Ž5 = 0.25. Assume the

common ratio is positive.

A. π‘Žπ‘› = 8(0.25)π‘›βˆ’1 C. π‘Žπ‘› = 0.5(4)π‘›βˆ’1

B. π‘Žπ‘› = 4(0.5)π‘›βˆ’1 D. π‘Žπ‘› = 0.25(8)π‘›βˆ’1

54. Which of the following functions is equivalent to the function 𝑓(π‘₯) = (1

3)

2

?

I. 𝑔(π‘₯) = 3βˆ’2

II. 𝑔(π‘₯) =1

9

III. 𝑔(π‘₯) = (2

3)

βˆ’1

IV. 𝑔(π‘₯) = 2(βˆ’3)

V. 𝑔(π‘₯) =1

6

VI. 𝑔(π‘₯) = 9βˆ’1

A. I, III, V

B. II, IV, VI

C. I, II, VI

D. III, V, VI

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55. A supervisor at a factory is testing the company’s packaging machines for accuracy. The machines

are labeled X, Y, and Z. The company standard for packaging a product is that each bag should

contain 6 to 10 π‘œπ‘’π‘›π‘π‘’π‘ . The supervisor randomly chose 10 bags from each machine and recorded

the results in the table below. Based on the dot plots below, which statement is correct?

A. Machine X is both the most consistent and the most accurate.

B. Machine X and Y are equally consistent, but Machine Y is the most accurate.

C. Machine Z is both the most consistent and the most accurate.

D. Machine Z is the most consistent, but Machine Y is the most accurate.

56. A fast food chain took a random survey of some of their stores to find the average number of sodas

they sell per day. The data collected is given below. Which measure of central tendency best

represents the data? Justify your answer.

{165, 142, 153, 160, 135, 140, 155, 30, 162, 157}

A. The mean would be best because there is an outlier.

B. The mean would be best because there is not an outlier.

C. The median would be best because there is an outlier.

D. The median would be best because there is not an outlier.

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57. The two-way frequency table shows all of the grades for males and females in a science class. If

the females were to have the same percent of B’s as the males, how many more females would

need to get a B in the class?

A. 2

A B C D F

Females 6 3 4 2 1

Males 3 6 1 0 2

B. 3

C. 4

D. 5

58. Use the table below to help determine which function has the greatest value as x gets larger and

larger.

π‘₯ 𝑓(π‘₯) = π‘₯ + 3 𝑔(π‘₯) = 3π‘₯ β„Ž(π‘₯) = π‘₯3 𝑖(π‘₯) = 3π‘₯

3

4

5

6

A. 𝑓(π‘₯) has the greatest value as x gets larger and larger.

B. 𝑔(π‘₯) has the greatest value as x gets larger and larger.

C. β„Ž(π‘₯) has the greatest value as x gets larger and larger.

D. 𝑖(π‘₯) has the greatest value as x gets larger and larger.

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59. The maximum height reached by a bouncing ball is given by β„Ž(π‘₯) = 10(0.75)π‘₯ where h is

measured in feet and x is the bounce number. Describe the domain of this function and what it

means when π‘₯ = 0.

A. The domain is all real numbers. When the bounce number π‘₯ = 0, the height h of the ball is

10 𝑓𝑒𝑒𝑑, which represents its original height of the ball before it is dropped and bounces.

B. The domain is all real numbers. When the bounce number π‘₯ = 0, the height h of the ball is

7.5 𝑓𝑒𝑒𝑑, which represents its original height of the ball before it is dropped and bounces.

C. The domain is all nonnegative integers, or 0, 1, 2, 3, … . The domain represents the bounce

number x and does not have units. When π‘₯ = 0 the height h of the ball is 10 𝑓𝑒𝑒𝑑, which

represents its original height of the ball before it is dropped and bounces.

D. The domain is all nonnegative integers, or 0, 1, 2, 3, … . The domain represents the bounce

number x and does not have units. When π‘₯ = 0 the height h of the ball is 7.5 𝑓𝑒𝑒𝑑, which

represents its original height of the ball before it is dropped and bounces.

60. In the box-and-whisker plots below, which class has the greater interquartile range of arm spans?

What is the interquartile range for that class?

A. Class A; 12 inches C. Class A; 4 inches

B. Class B; 5 inches D. Class B; 9 inches

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The Department of Transportation requires guardrails to be constructed at a height of 48 inches

with a tolerance of 3 inches. The boxplots below show the measurements for three different

companies on their last 100 projects. Using the formula |π‘Ž βˆ’ 48| ≀ 3, where π‘Ž is the actual

measurement.

61. Which company is most accurate in their guardrail construction?

A. L&M Construction C. Traffic Guards, Inc.

B. TJ Highway Co. D. L&M Construction and Traffic Guards, Inc.

62. Which company is most consistent in their guardrail construction?

A. L&M Construction C. Traffic Guards, Inc.

B. TJ Highway Co. D. L&M Construction and Traffic Guards, Inc.

63. What type of histogram is shown below?

A. skewed left

B. skewed right

C. symmetric

D. uniform

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64. Describe the relationship between the two variables based on the scatterplot below.

A. As the winning times (π‘₯) increase, the years (𝑦) decrease.

B. As the years (π‘₯) increase, the winning times (𝑦) increase.

C. As the years (π‘₯) decrease, the winning times (𝑦) decrease.

D. As the years (π‘₯) increase, the winning times (𝑦) decrease.

65. Which of the following is a reasonable trend line (line of best fit) for the scatterplot below?

A. 𝑦 =

1

3π‘₯ + 8

B. 𝑦 =

1

2π‘₯ βˆ’ 3

C. 𝑦 =

2

3π‘₯ + 3

D. 𝑦 = 3π‘₯ + 3

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Algebra 1 S2 Instructional Material Answers 2015-2016

Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 11

1. D 7. D 13. D 26. C 43. A 55. D

2. D 8. A 14. D 27. B 44. A 56. C

3. A 9. C 15. A 28. A 45. B 57. D

4. B 10. A 16. D 29. A 46. D 58. D

5. C 11. B 17. C 30. D 47. C 59. C

6. B 12. C 18. B 31. B 48. A 60. B

19. D 32. C 49. A 61. A

20. A 33. A 50. D 62. B

21. B 34. C 51. B 63. B

22. C 35. A 52. C 64. D

23. A 36. D 53. B 65. C

24. B 37. B 54. C

25. B 38. C

39. A

40. C

41. C

42. D


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