Algebra 1: Spring Interim Assessment (ETO) 1) Juwon needs to cut three air conditioning pipes from a tube that is 7.2 meters long. The

second pipe is 60 centimeters longer than twice the length of the first pipe. The remaining pipe is 20 centimeters longer than the first pipe. The equation below represents this situation, where x is the length of the first pipe in meters.

What is the length, in meters, of the first pipe?

a. 1.60

b. 1.80

c. 2.12

d. 3.84

2) Which graph below best represents the following linear equation?

a.

b.

c.

d.

3) Let U = {s,o,p,h,i,a} and B = {a,i,o}. If set B is a subset of set U, what is ~B?

a. {o,p,s}

b. {i,p,s}

c. {a,h,p}

d. {h,p,s}

4) The clock of Big Ben of London became operational in 1859. Damian built two scale

models of the Clock Tower of Big Ben as shown below. The dimensions of both scale models are in centimeters.

What is the value of x?

5) The set of ordered pairs below defines a relation. { (-10,-20), (-2,3), (0,-5), (1,-9), (4,-4), (12,-1) } What is the value of the greatest element in the range of this relation?

6) What is the solution to the following system of linear equations?

a. (-1,2)

b. (-1,-2)

c. (1,-2)

d. (1,2)

7) What is the slope of the line graphed below?

a. 0

b. 1

c. 4

d. undefined

8) Felicia is planning to open an ice cream shop in Miami Beach and surveyed one hundred people to find out their favorite flavor of ice cream. Some people could not choose, so they gave more than one flavor as their answer. The results of the survey are in the Venn diagram below.

How many people chose only one flavor?

a. 12

b. 15

c. 37

d. 40

9) For one child, a childcare facility charges $150 per month for preschool and $5.50 per hour for each hour of childcare after preschool. The function below can be used to determine f(h), the monthly fee for childcare and preschool, where h represents the number of hours spent in childcare after preschool.

If the one-month charges for one child totaled $601, what was the total number of hours the child spent in childcare after preschool?

10) Kevin saves 20% of his total weekly earnings from his 2 part-time jobs. He earns $5.75 per hour at his first job and $6.55 per hour at his second job. Kevin works 20 hours this week at the first job and 10 hours this week at the second job. What is the amount that he will save this week?

11) Which equation represents the line shown in the graph below?

a.

b.

c.

d.

12) Maria sells paintings in an art gallery. She earns $375 each week plus a commission equal to 2.5% of her sales. This week her goal is to earn at least $500. Maria used the inequality shown below to calculate the amount in dollars, s, which she must sell in order to achieve her goal.

Which of the following shows the solution to this inequality?

a.

b.

c.

d.

13) A movie theater sells tickets and refreshments as a fundraiser. The data points below show the amount of money collected after every five customers completed all of their purchases.

What does the slope of the line of best fit represent?

a. The cost of one ticket

b. The average amount of money spent by each customer

c. The exact amount of money spent by each customer

d. The difference between the amounts spent by any group of two customers

14) Jennifer simplified the expression shown below.

Her final answer was in the form am

bn. If she simplified the expression correctly, what is

the value of n, the exponent on b?

15) The boundaries of Anita's ranch are plotted on the coordinate plane below.

What is the slope of the segment that represents the West Fence on the graph?

16) The table below shows the percent unemployed and average per capita income in a region

of the country.

Which equation represents p, the average per capita income in dollars, as a function of u, the percent unemployed?

a.

b.

c.

d.

17) Jack Watson is working in a lab making microchips for computers. He uses a "Super Tool" that measures the size of a transistor on a microchip by magnifying the transistor to twice its actual size and measuring the magnified size. The actual size of the transistor is x. The magnified size of the transistor must be within 4 nanometers of the magnified industry standard. The industry standard for the actual size is 80 nanometers. The inequality below models the range of the actual size of the transistor.

Which graph correctly represents the range in which the actual transistor size for a particular transistor is within the industry standard?

a.

b.

c.

d.

18) The graph below shows the average price of a gallon of gasoline in 2011.

Based on the graph, which of the following best describes the range of the value of average gasoline prices in 2011?

a.

b.

c.

d.

19) A news agent conducted a survey of sports magazine subscribers in a town and found that

there was circulation of only three sports magazines. He made the Venn diagram below to show the number of subscribers to each of the three magazines: Sports Illustrated (Set S), ESPN Magazine (Set E), and Outdoor Magazine (Set O).

How many subscribers belong to the set ?

20) Monique owns a catering business. Last weekend she catered two events in which all attendees were served either a chicken or a steak dinner. The table below shows some pricing informationa about these two events.

The following system of equations can be used to determine the before-tax prices of c dollars for each chicken dinner and s dollars for each steak dinner Monique served.

What is the before-tax price of a chicken dinner?

21) Which graph best represents the inequality below?

a.

b.

c.

d.

22) Which of the following equations is a line that is parallel to the line below?

a.

b.

c.

d.

23) The ratio of the length to the width in a full-size cello is approximately 8 to 3. What is the width of a full-size cello that is 45 inches long?

a. 16.9 inches

b. 30 inches

c. 50.6 inches

d. 90 inches

24) Latonya is planning to drive from her house to the Miami Dolphins stadium and arrive in

time for the beginning of the football game. Her arrival time depends on the traffic. If traffic is light, she will travel at an average speed of 60 miles per hour and arrive ½ hour early. If traffic is heavy, she will travel at an average speed of 36 miles per hour and arrive on time. The equation below can be used to model this situation, where t represents

What is the distance, in miles, from Latonya's house to the football stadium?

25) The set H represents several breeds of herding dogs. H = { Briard, Collie, Samoyed, Puli } The set T represents several breeds of hunting dogs. T = { Cur, Dachshund, Pointer, Spaniel, Setter } What is the total number of elements in the set ?

26)

Which expression represents in simplest form?

a.

b.

c.

d.

27) Denise can assemble a chair in 0.75 hour and a table in 0.4 hour. Which inequality best represents the number of chairs, c, and the number of tables, t, that Denise can assemble in one day if she works a maximum of 8 hours?

a.

b.

c.

d.

28) Nathan works at a shoe store. The equation below represents his daily earnings, y, based on selling x shoes.

What is represented by the slope in this equation?

a. The total amount of money Nathan earns each day

b. The total number of shoes Nathan sells each day

c. The amount of money Nathan earns if he sells no shoes

d. The amount of money Nathan earns for each shoe he sells

29) The line below represents the path of an airplane that passed through the coordinates (-4,1) and (2,4).

What is the slope of the line that represents the path of another plane that is traveling perpendicular to the first plane?

30) Over the past few years the number of 3-D movies has increased from documentaries to blockbusters. This has affected the amount of time movie-goers spend watching 3-D movies. Jake loves 3-D movies. For the past few years, he asked everyone he met about the time they spent watching 3-D movies compared with all movies they watched in a year. The graph shows the time people spent watching 3-D movies, in hours, and the total time they spent watching movies of all kinds, in hours.

What is the minimum value of the domain of this graph?

31) A concert hall is in the shape of a trapezoid and has the dimensions shown in the diagram

below.

Which expression is equivalent to the perimeter of the concert hall?

a.

b.

c.

d.

32) The equation below is used to calculate the balance of a savings account at the end of each month.

Which of the following shows this equation solved for the variable i?

a.

b.

c.

d.

33) Which of the following represents the graph of a function of x?

a.

b.

c.

d.

34) Simplify the expression below.

What is the coefficient of the m2 term?

35) What is the value of x, when and the denominator does not equal 0?

36) Lon caught 24 trout and bass while on a fishing trip. The total weight of his catch was 137

pounds. The average weight of the trout was 2.5 pounds and the average weight of the bass was 8 pounds. Which system of equations can be used to find t, the number of trout, and b, the number of bass, that Lon caught?

a.

b.

c.

d.

37) An architect designed an outdoor staircase for a house. The relationship between the height of the steps and the length of the tread is modeled by the equation below.

Which of the following represents the slope of the equation?

a.

b.

c.

d.

38) Which of the following is the solution to the inequality?

a.

b.

c.

d.

39) What is the solution to the following equation?

40) A city bus collected $3,150 in one day. The price of a regular fare was $3, and the price of a discount fare was $2. If a total of 1,200 people paid the fares on this bus, how many people paid the regular fare?

41) Which is an equation of the line in point-slope form that passes through the point (-8,1) and has a slope of -3/4?

a.

b.

c.

d.

42) What is the domain of the function graphed below?

a. All real numbers

b. All real numbers greater than or equal to -3

c. All real numbers greater than or equal to 0

d. All real numbers between -1 and 3

43) The owner of a clothing store buys leather jackets at a wholesale cost, then sells them to the public at a higher retail price. She determines the retail price of one jacket by tripling the wholesale cost and adding 10% of the wholesale cost. Which equation could be used to calculate r, the retail price of a jacket, based on w, the wholesale price of the jacket?

a.

b.

c.

d.

44)

Set A represents the ages of Adele's children. A = { 4, 5, 8, 9, 10, 13 } Set R represents the ages of Roger's children. R = { 7, 10, 12 } Set T represents the ages of Tammy's children. T = { 8, 13, 15 }

What is the smallest age in the set ?

45) Karen works as a salesperson for a local marketing company. Using the equations shown below, the company calculates her monthly earnings based upon her total sales for the month.

where

E represents total monthly earnings before taxes and withholding s represents the dollar amount of her total sales

Karen's total sales were greater than $5,000 in October. If her total monthly earnings for October $3,000, what was the value of her total monthly sales?

46) The universal set contains only sets A, B, and C. These sets are related as shown in the

Venn diagram below.

Which set represents ?

a. {s, r}

b. {u, v}

c. {w, u, v}

d. {n, o, p, q, t, u, v, w, x, y, z}

47) The expression (m6n5q3)2 is equivalent to which of the following?

a. m12n10q6

b. m36n25q9

c. 2m8n7q5

d. 2m12n10q6

48) Samantha is going shopping for shirts and shorts. Shirts cost $10 and shorts cost $15. Samantha will spend $90. The equation below can be used to find out how many shirts and shorts Samantha can buy, where x is the number of shirts and y is the number of shorts.

Which of the following graphs shows the graph of this equation?

a.

b.

c.

d.

49) Reginald graphed the line shown in the coordinate plane below.

What is the x-coordinate of the point at which the line intersects the x-axis?

50) What is g(-3) for the following equation?

51) Which graph shows the solution to the following inequality?

a.

b.

c.

d.

52) Let A = {3, 6, 9, 12} and B = {2, 4, 6, 8}. Which of the following represents ?

a. {6}

b. {2, 4, 6, 8}

c. {2, 3, 4, 8, 9, 12}

d. {2, 3, 4, 6, 8, 9, 12}

53) What is the x-intercept of the line defined by the equation below?

54) In his book The Travels of Marco Polo, the Italian explorer Marco Polo (1254-1324) details his adventures throughout Asia. Among the many topics he covers are politics, agriculture, military power, and the economies and religions of each area he visited. Polo is also credited with bringing the concepts of paper money and coal to Europe. To complete a study analyzing the influence of Marco Polo on the 13th century European economy, Ricardo needs to simplify an expression like the one shown below.

Ricardo simplified the expression to the form satbvc . What is the value of c, the exponent of v?

55) The Venn diagram shows the number of students who chose to participate in each of the three sports at Sports Camp.

Based on the diagram, what is the total number of students who did NOT participate in basketball?

56) Isabel reads 12 books from the library each month for m months in a row. Each month her

sister, Emma, reads half as many books as Isabel reads. Together they have read 108 books. The following equation represents this situation where m is the number of months that the girls have read.

Which of the following is the number of months it took Isabel and Emma to read 108 books?

a. 2 months

b. 3 months

c. 6 months

d. 12 months

57) Which graph shows a line with a y-intercept of -3 and an x-intercept of 2?

a.

b.

c.

d.

58) The scatterplot shows the relationship between the weekly total sales ($) and the number of different rug designs a rug store has.

If the store has 110 different rugs, what is the expected total sales ($) for the week?

a. $11,000

b. $31,000

c. $34,000

d. $38,000

59) Which of the following shows the equation below correctly solved for g?

a.

b.

c.

d.

60) What value of r makes the following equation true?

a. 3

b. 4

c. 6

d. 12