Algebra I H 2008 2009 Semester 1 Assessment Released

Algebra I H 2008–2009 Semester 1 Assessment — Released

DRAFT

BEGIN PART I (50 questions)

1. Find the product:

2. Find the sum of the matrices:

2008–2009 1 GO ON

Clark County School District Revised 07/22/2009

Algebra I H 2008–2009 Semester 1 Assessment — Released

DRAFT

3. The distributions of two students’ grades are shown below:

Which statement about the box-and-whisker plots is true?

A. Yang’s highest grade is greater than Jose’s highest grade.

B. Yang’s lowest grade is greater than Jose’s lowest grade.

C. Yang’s median grade is greater than Jose’s median grade.

D. Yang’s range of grades is greater than Jose’s range of grades.

2008–2009 1 GO ON

Clark County School District Revised 07/22/2009

Algebra I H 2008–2009 Semester 1 Assessment — Released

DRAFT

4. There are 4 red marbles, 6 blue marbles, and 2 black marbles in a bag. What is the probability of randomly selecting a red marble from the bag on the first try?

5. A fair 6-sided number cube is rolled once and a fair coin is flipped once. What is the probability that an odd number is rolled and a head is flipped?

6. Simplify the expression:

A. –18

B. –10

C. 5

D. 12

7. Evaluate the expression when y = 6.

A. –13

B. –3

C. 11

D. 13

8. Evaluate the expression 2x – 8y + 9 when x = and y = 0.

A. –21

B. –3

C. 12

D. 15

9. Use the table below to write an algebraic expression that represents the value of the nth term of the sequence.

A. n + 2

B. n + 3

C. 2n + 3

D. 3n + 2

10. Simplify the expression:

A. 7x – 4

B. 7x – 32

C. 2x + 1

D. 2x – 7

11. Simplify the expression:

12. Write an expression for the perimeter of the rectangle:

A. 2xy

B. 6xy

C. 4x + 2y

13. Which of the following tables represent functions?

A. I and IV only

B. II and III only

C. I, II, and IV only

D. I, III, and IV only

14. Determine which of the following are functions:

A. I and III only

B. II and IV only

C. II, III, and IV only

D. I, II, III and IV

15. Which input-output table represents the function ?

A. / Input / Output
2 / 1
3 / 2
6 / 9
8 / 13
B. / Input / Output
2 / 1
3 / 2
6 / 5
8 / 13
C. / Input / Output
2 / 1
3 / 3
6 / 5
8 / 13
D. / Input / Output
2 / 1
3 / 3
6 / 9
8 / 13

16. Let a function be defined as . What is ?

A. –18

B. –6

C. 0

D. 14

17. Translate the table into words:

A. The output is three more than negative four times the input.

B. The output is negative three times the input.

C. The output is two less than negative three times the input.

D. The output is three less than negative four times the input.

18. Which sentence represents the equation , where y is Devon’s age and x is his sister’s age?

A. Devon is 3 years younger than seven times his sister’s age.

B. Devon is 3 years older than seven times his sister’s age.

C. Devon is 7 years younger than three times his sister’s age.

D. Devon is 7 years older than three times his sister’s age.

19. What is the range of the following relation?

20. Solve the equation .

A. x = –80

B. x = –5

C. x = 5

D. x = 80

21. Solve the equation for x:

2x – 6 + 3x = 14.

A. x =

B. x =

C. x = 4

D. x = –4

22. Solve the equation .

A. y = –4

B. y = –2

C. y = 1

D. y = 3

23. Which point on the number line represents the solution of ?

A. Point A

B. Point B

C. Point C

D. Point D

24. Solve for y in the equation .

C. y = 4w – x

25. Sara uses the equation P = 8h + 40 to figure her weekly pay, P, in dollars, for h hours. How many hours should Sara work to earn exactly $320 this week?

A. 35 hours

B. 40 hours

C. 45 hours

D. 50 hours

26. The $189 selling price of a cell phone is $51 more than 3 times the wholesale cost. What is the wholesale cost?

A. $36

B. $46

C. $80

D. $138

27. Graph the inequality x < –7.

28. Solve the following inequality for x:

29. What is the solution set of ?

B. {1}

30. Solve the compound inequality:

and

C. or

D. or

31. Solve the compound inequality and graph its solution:

32. Solve the inequality below:

C. or

D. or

33. Which statement is true about the characteristics of the three lines in the graph below?

A. They have the same equation.

B. They have the same slope.

C. They have the same x-intercept.

D. They have the same y-intercept.

34. A job pays a base salary of $30,000. Each year an employee will earn an additional $2,000. The graph of an employee’s salary over 10 years is shown below.

What would happen to the graph if the base salary was changed from $30,000 to $40,000?

A. The graph would translate down.

B. The graph would translate up.

C. The graph would rise less steeply from left to right.

D. The graph would rise more steeply from left to right.

35. Find the slope of the line in the graph.

36. Find the slope of the line that contains the points and .

D. 3

37. Find the slope of the line that contains the points (8, 3) and (8, 8).

B. 0

D. undefined

38. What are the x- and y-intercepts of ?

A. x-intercept = 9; y-intercept = –3

B. x-intercept = ; y-intercept = –3

C. x-intercept = –3; y-intercept =

D. x-intercept = ; y-intercept = 9

39. Use the graph below.

What is the equation of the line in the graph?

40. Graph the linear equation:

41. Write the equation
in standard form.

42. Write the equation
in slope-intercept form.

43. Identify a point-slope equation of the line that passes through the point (–4, 5) and has a slope of .

44. What is the equation of the line in slope-intercept form passing through the points in the table?

x / −2 / 0 / 2 / 4 / 6
y / −3.5 / −3 / −2.5 / −2 / −1.5

45. Which is an equation of a line perpendicular to ?

D. y = 3x + 3

46. Which equation represents the line that contains the point (–3, 14) and is parallel to the line ?

47. The scatterplot below represents distances a walker traveled (in miles) versus time (in hours).

Based on a linear model of the data, which choice below is the best prediction for the distance traveled after 4 hours?

A. 2 miles

B. 5 miles

C. 8 miles

D. 12 miles

48. Casey made a scatter plot to show the total number of text messages remaining on her plan throughout the month.

Which linear equation best models Casey’s data?

49. Graph the linear inequality .

50. Use the graph below.

What is the equation of the absolute value function?

END PART I

GO ON TO PART II

2008–2009 1 GO ON

Clark County School District Revised 07/22/2009

Algebra I H 2008–2009 Semester 1 Assessment — Released

DRAFT

BEGIN PART II (10 questions)

1. Identify the histogram AND box-and-whisker plot that represents the game scores given below.

Game scores for the Minneapolis Mighty Minnows
Game / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9
Score / 22 / 31 / 18 / 9 / 28 / 13 / 31 / 52 / 42

2. An electronics store sells CD players and phones. The store makes a $75 profit on the sale of each CD player and a $30 profit on the sale of each phone. Let c represent the number of CD players sold; let p represent the number of phones sold. The store wants to make a profit of at least $255.00 from its sales of CD players and phones. Which inequality describes this situation?

3. How many solutions does the equation have?

A. No real solution

B. One solution

C. Two solutions

D. Infinitely many solutions

4. What is the value of t in the equation when ?

A. 9

B. –3

C. –5

D. –9

5. Solve the equation for n:

6. Rocio’s cell phone plan charges 10 cents for the first minute and 2 cents for each additional minute. If a phone call costs 38 cents, how many minutes long was it?

A. 23 minutes

B. 19 minutes

C. 15 minutes

D. 14 minutes

7. Latasha has a monthly base salary of $200 and earns a $10 commission for each item she sells. Gil has a monthly base salary of $300 and earns a $5 commission for each item he sells. How many items would each need to sell to earn the same amount?

A. 6 items

B. 20 items

C. 33 items

D. 100 items

8. What steps would move from one point to another point on the line ?

A. 2 units up, 1 unit to the right

B. 2 units up, 1 unit to the left

C. 1 unit down, 2 units to the right

D. 1 unit up, 2 units to the right

9. Roberto filled a swimming pool with water. When he started, the pool already had 1,200 gallons of water. The table shows the number of gallons (g) of water in the pool after filling it for h hours.

Number of
Hours (h) / Number of
Gallons (g)
0 / 1,200
1 / 1,700
2 / 2,200
3 / 2,700
4 / 3,200

Which equation should be used to determine the number of gallons (g) in the pool after h hours?

2008–2009 1 GO ON

Clark County School District Revised 07/22/2009

Algebra I H 2008–2009 Semester 1 Assessment — Released

DRAFT

10. Which phrase best describes the pattern in the scatterplot?

A. interpolation

B. positive correlation

C. negative correlation

D. no correlation

END PART II

2008–2009 16

Clark County School District Revised 07/22/2009

Algebra I H 2008–2009 Semester 1 Assessment — Released

Free Response

DRAFT

1. Justify each step used to solve the algebraic equation .

List each step Justification for each step

2. Use the graph of the linear relation below to answer each question.

A. Complete the table of values below:

B. Explain why this relation is a function.

C. Write the linear equation, in function notation, that models the graph.

2008–2009 1 GO ON

Clark County School District Revised 07/22/2009

Algebra I H 2008–2009 Semester 1 Assessment — Released

Free Response

DRAFT

3. A rental car company charges a $35.00 fee plus an additional $0.15 per mile driven.

A. Write a linear equation to model the cost (C) of renting a vehicle as a function of miles driven (m).

B. A renter paid $65.00 when a vehicle was returned. How many miles was the vehicle driven? Show all work.

C. How would the graph of the cost equation in Part A differ from the graph of ? What would this mean in the context of the cost of renting a vehicle?

2008–2009 2

Clark County School District Revised 07/22/2009