Name: ____________________________________

1. Use the graph below to answer the question(s).

Select all of the following statements that are true based on the graph above:

There are four parts where the graph is decreasing.

Part A has a rate of change that is greater than the rate of change for Part D.

Part B is increasing for the interval 1 < x < 2.

Parts A, B, D, and E are increasing.

The absolute value of the rate of change for Part C is greater than the absolute value of the rate ofchange for Part A.

1.

2.

3.

4.

2. 3 Which inequality represents the translation of thefollowing sentence?

"Twelve less than a number is greater than thatsame number divided by two."

1. x − 12 ≥ 2x

2. 12 − x ≥

3. x − 12 >

4. x − 12 <

3. 2 Which of the following graphs represents the solution setfor −(−5x + 5) > 2(3x − 4)?

1.

2.

3.

4.

4. 4 What is the correct verbal expression for the algebraic

expression x − 7?

1. One-half a number decreased by −72. One-half a number increased by 73. Twice a number increased by 74. One-half a number decreased by 7

5. 1 Which equation would best model this situation?

Al bought a sound system that lost a total of $650.00,and he also bought some CD’s at $9.99 each. The totalthat Al spent was $719.93. How many CD’s did Al buy?[Ignore sales tax.]

1. 650.00 + 9.99n = 719.932. 650.00 − 9.99n = 719.933. 650.00 × 9.99n = 719.934. 650.00 ÷ 9.99n = 719.93

6. 1 In which graph do the plotted points lie on the line y = x− 2?

7. The Monogram Club sells food and drink during South Fayette HS soccer games.

25 ham-bbq sandwiches and 12 drinks cost $83.75.50 ham-bbq sandwiches and 27 drinks cost $171.25.

What is the cost of each sandwich?

Answer: The cost of each ham-bbq sandwich is $2.75.

8. 4 Identify the nonlinear functions.

1. Function 1 and Function 22. Function 2 and Function 33. Function 1 and Function 34. Function 1, Function 2, and Function 3

9. 4 Which inequality represents the translation of the following sentence?

"The product of a number and three is less than or equal to that number decreased by five."

1. 3x ≤ 5 − x2. 3x ≥ x − 53. 3 + x ≤ x − 54. 3x ≤ x − 5

1.

2.

3.

4.

10. 1 The table below shows the number of seats in a theater based on the number of rows. Row, n Number of Seats, S

1 182 313 444 575 70

Which function represents the number of seats in a theater with n rows?

1. S(n) = 18 + 13(n − 1)2. S(n) = 13 + 18(n − 1)3. S(n) = 5n + 134. S(n) = 13n + 18

11. 3 A population that initially has 20 ducks approximately doubles every 10 years. Which graph represents thispopulation?

12. 4 Which function has a greater rate of change than the function graphed below?

1. 7x − 12y = 32. 4y − x = −43. x − 2y = 44. 10y − 8x = 15

13. 2 The students at Myers Park HS were given information about two linear functions. Function f has an x-intercept of8 and a y-intercept of -6. Function g is shown in the graph below.

What is the slope of the function with the greater slope?

1.

2.

3.

4.

14. 2 Which equation would best model this situation?

There are 3 flights that depart from New York and arrive in London. Combined, the 3 planes hold 1,200 people. Ifthere are 405 seats in the first plane, and 345 more seats in the third plane than in the second, how many seats arethere in the second plane?

1. 405 + 1,200 + x + x = 3452. 405 + x + x + 345 = 1,2003. 405 + x + 345x = 1,2004. 405(2x) + 345 = 1,200

15. 4 Which inequality represents the translation of the following sentence?

"Four more than two times a number is less than or equal to five."

1.4 + 2x > 5 3. 4 + 2x ≥ 52.2x + 4 < 5 4. 2x + 4 ≤ 5

16. 3 Castle Learning sells seat licenses of their student-based educational tutor program. The table below shows the costof a license based on the number of add-ons. Add-ons, x Cost, C

1 $4.502 $5.753 $7.004 $8.25

Which function represents the cost of a license with x add-ons?

1. C(x) = 3.25x + 1.252. C(x) = 1.25 +4.5(x − 1)3. C(x) = 4.5 + 1.25(x − 1)4. C(x) = 1.25x + 4.5

17. 1 Tom purchased a vehicle for $25,675 that is expected to depreciate 12.5% per year. The function for the value ofthe car can be written as f(x) = 25675(0.875)x, where x represents the number of years since purchase.

Which of the following would represent the RANGE of this function from year 6 thru 10 of ownership? Round tothe nearest dollar.

1. R = 6,754 ≤ f(x) ≤ 11,5232. R = 6,754, 11,5233. R = 6,754, 7,719, 8,822, 10,082, 11,5234. R = 6,754 < f(x) < 11,523

18. 4 The students at Hough HS were given information about two linear functions.

What is the slope of the function with the smaller slope?

1. -

2. -

3. -

4. -

19. 3 Three of the four options below represent the same linearfunction, and one does not.

I. The output is the product of the input and fiveincreased by two.

II.

III. y + 5x = 2

IV.

x y 0 2

1 72 123 17

Which one does not belong?

1. I2. II3. III4. IV

20. Is 5 a solution to each of the equations below? Select Yes or No for equations A – D.

A. x + 8 = 10 Yes No

B. 3(x + ) − 7 = 21 − x Yes No

C. 2x + x − 5 = -20 Yes No

D. 0.5x = Yes No

21. 2 Which option correctly pairs the words that mean thesame thing?

1. slope and y-intercept2. slope and rate of change3. slope and initial value4. initial value and rate of change

22. 1 Consider the two linear functions below:

What is true about the y-intercept of Function 1 and Function 2?

1. The y-intercept of both functions is positive.2. The y-intercept of both functions is negative.3. The y-intercept of Function 1 is positive and the rate of change of Function 2 is negative.4. The y-intercept of Function 1 is negative and the rate of change of Function 2 is positive.

23. 2 To finish a home improvement project, Scott needs torent a truck.

The equation y = 19.95 + 20x represents the totalcost, y, of renting a truck from Company Afor x hours.The table below shows the cost for renting a truckfrom Company B for various lengths of time.

Time(hours)

1 3 5 7 12

TotalCost

$36.00

$71.00

$106.00

$141.00

$228.50

Which statement accurately describes the per hourcharges for each company?

1. Company B charges $2.45 less per hour thanCompany A.

2. Company B charges $2.50 less per hour thanCompany A.

3. Company B charges $2.45 more per hour thanCompany A.

4. Company B charges $2.50 more per hour thanCompany A.

24. Determine whether each of the following represents a function or not. Select Yes or No for graphs A – D.

A. Yes

No

B. Yes

No

C. Yes

No

D. Yes

No

1.

2.

3.

4.

25. 3 Given the following system ofequations:

What is the value of x + y?

1.12 3. 52.10 4.−1

26. 3 What is the correct verbal expressionfor the given algebraic equation: 2x +3 = 4.

1. Twice a number decreased by3 is 4.

2. Twice a number is −1.3. Twice a number increased by 3

is 4.4. A number squared increased

by 3 is 4.

27. 2 Which representations are functions?

I

II

(1, 1), (2, 1), (3, 2), (4, 3), (5, 5),(6, 8), (7, 13)

III

IV y = 2x

1. I and II2. II and IV3. III, only4. IV, only

28. 4 Use the graph below to answer the question.

Which answer best describes the graph of Jamie’s trip?

1. Jamie left home and drove for an hour, stopped for a half hour, and then finished the rest of the journeyhome.

2. Jamie drove at a constant speed for an hour, put the car on cruise control for 30 minutes, and finished hertrip driving through traffic.

3. Jamie traveled at a constant speed for the first hour of her trip home. She then stopped for gas andsomething to eat. She continued her trip for the next hour until she hit traffic and had to slow her speed.

4. Jamie traveled at a constant speed, stopped for a break, and then traveled at one speed for an hour and aslightly faster speed for the last 60 minutes.

29. 1 A gardener started his business selling 20 varieties of plants. Every two years, he sells an additional 3 varieties ofplants. Which graph represents this relationship?

30. 3 Which of the following graphs represents the solution setfor −3x + 2 ≤ −4x − 4?

1.

2.

3.

4.

31. 1 Which of the following descriptions represents thesolution set for the following inequality graphed on anumber line?

4x + 2 > 3x − 5

1. There is an open circle at −7 and shading towardszero.

2. There is a closed circle at −7 and shading towardszero.

3. There is a closed circle at −7 and shading towards−10.

4. There is an open circle at −7 and shading towards−10.

32. Which of the functions models the sequence shownbelow? Select all that apply.

12, 16, 25, 41, …

33. Determine whether each of the following representsthe following relation: (−3, 4), (5, 2), (0, −2), (−3, −1),(2, 4). Select Yes or No for A – D.

A. Yes

No

B. This relation is not a function. Yes

No

C. Yes

No

D. D = -3, 0, 2, 5; R = -2, 1, 4 Yes

No

34. Determine whether each of the following representsa function or not. Select Yes or No for graphs A – D.

A. Yes

No

B. Yes

No

C. Yes

No

D. Yes

No

35. 4 Consider the two linear functions below:

What is true about the rate of change of Function 1 and Function 2?

1. The rate of change of both functions is positive.2. The rate of change of both functions is negative.3. The rate of change of Function 1 is positive and the rate of change of Function 2 is negative.4. The rate of change of Function 1 is negative and the rate of change of Function 2 is positive.

36. 4 Which of the following graphs represents the solution set for 7x − 1 ≥ 3x + 7?

1.

2.

3.

4.

1.

2.

3.

4.

37. 3 Daphne saw a reduction in her internet usage timebecause of poor grades. Daphne's internet time is 5

minutes more than than of Isaac's internet time. Which

graph represents the possible times of Daphne's andIsaac's internet times?

38. Beginning in 2000, the annual average movie ticketprice in the U.S. increased by a constant amount until2015.

In 2005, the average cost of a ticket was $6.40.In 2010, the average cost of a ticket was $7.90.

How much did a ticket cost in 2000?

Answer: In 2000, the average cost of a movie ticket inthe U.S. was $4.90.

39. Look at each linear relation represented below.Identify which choices show an undefined slope? SelectYes or No for options A through D.A. The line represented by x = 2 Yes No

B. The line represented by y = 2 Yes No

C. Yes No

D. The line that connects the points (−3, 4)and (−3, 1)

Yes No

40. Given the situation described below:

A car travels at a speed of 50 for about 1 hourThe car then slows down gradually to a stop.Then after about another hour the car starts again and gradually increases its speed to 35 and travels forabout 1 hour at 35

Choose the graph(s) that represent this situation:

41. Given the following expression:

Fill in the missing blanks of the sentence to create thecorrect verbal expression.

Answer: A number decreased by 4 then multiplied by 7is divided by 2.

42. 4 Three of the four options below represent the same linearfunction, and one does not.

I. The output is four less than twice the input.

II. y = 2x − 4

III.

IV.

x y 0 −4

2 −34 −26 −1

Which one does not belong?

1. I2. II3. III4. IV

43. 4

The graph above represents the cost of bananas compared to the weightof the bananas for Company A. Company B uses the equation c = 1.5wto figure out the cost, c, for a certain weight, w, in pounds of bananas.

Select the statement that is true.

1. The unit rate for Company A is greater than the unit rate forCompany B.

2. Two pounds of bananas would cost the same at Company A andCompany B.

3. Eight pounds of bananas costs no more than $10 at Company Aand Company B.

4. Ten pounds of bananas costs more at Company B than atCompany A.

44. In the table below, y is a linear function of x.

x y

−7 −39

1 −7

12 37

What is the value of y when x = 0?

Answer: The value of y is -11.

45. 1 Which of the following graphs represents the solution set for 3(x − 1) <2(x + 3)?

1.

2.

3.

4.

1.

2.

3.

4.

46. Cassandra sells merchandise at the local golf course.

35 golf shirts and 60 golf shorts cost $3,017.50.68 golf shirts and 180 golf shorts cost $8,146.00.

What is the cost of each golf shirt?

Answer: The cost of each golf shirt is $24.50 or 24.5.

47. Determine whether each of the following representsa function or not. Select Yes or No for graphs A – D.

A. Yes

No

B. Yes

No

C. Yes

No

D. Yes

No

48. 4 Jesse and Sabrina both play soccer. Jesse's practice time

is 10 minutes less than of Sabrina's practice time.

Which graph represents the possible times of Jesse's andSabrina's practice times?

49. 2 Which of the following graphs represents the solution setfor −2(x − 1) ≥ x − 4?

1.

2.

3.

4.

50. The expression 2(7x − 3) can be described as whichof the following? Check all that apply.

The product of 2 and the quantity 7 times anumber x less 3.

The product of 7 times a number x and 2 less 3.

The difference of 14 times a number x and −6.

The product of 2 and the quantity 7 times a number xless than 3.