MAFS Algebra 1

FSA EOC Review

Day 19 - Student Packet

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Day 19: FSA EOC Review MAFS.912.A-CED.1.2

1. Lawrence's parents pay him a base allowance of $10 per week and $3.20 per hour for extra chores he completes. Mr. Williams pays Lawrence $7.80 per hour to fix broken washing machines at the laundromat. Which equation models Lawrence's total weekly income?

A. ( ) B.

C. D. ( )

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2. Write the radical expression in rational exponent form.

√

A.

B.

C.

D.

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3. The function ( ) gives the number of person-hours it takes to assemble engines in a factory. What is a reasonable domain for ( )?

A. The nonnegative rational numbers B. The real numbers

C. The nonnegative integers D. The nonnegative real numbers

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4. A grocery store offers a coupon for $2 off when a customer buys 6 or more bottles of water. The water costs $1.75 per bottle. Shauna uses the function ( ) to find the total dollars it costs to buy bottles of water. When she uses the function to find how many bottles she can buy for $5, she finds , so she concludes she could buy 3 bottles of water for $5. Explain what error Shauna made.

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5. Sal is having a yard sale. He plans to sell his old DVDs and CDs. Combined, he has 75 DVDs and CDs. He prices them at $1.50 per CD and $4.50 per DVD. Let represent the number of DVDs Sal sells and represent the number of CDs Sal sells. He sells all of his DVDs and CDs and earns $262.50. Which of the following equations should be included in a system that reflects the constraints of this situation?

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6. Rita reads a book at a steady pace. Rita graphs her progress through the book by putting the time in hours on the horizontal axis and chapters remaining on the vertical axis. Which equation describes Rita’s graph?

A.

B.

C.

D.

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7. Susan measures her son Jeremy’s height at various ages. The results are shown below. Which of the following is a statement of causation?

AGE ( years) Height (inches)

8 44

9 48

10 52

11 55

12 58

13 62

A. When Jeremy was 13 years old, he was 62 inches tall.

B. There appears to be a relationship between Jeremy’s age and height.

C. As Jeremy’s age increases, his height also increases.

D. Jeremy’s age affects his height.

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8. A local supermarket sells chicken for $2.49/lb and pork for $3.19/lb. Todd buys c pounds of chicken and pounds of

pork. Which of the following inequalities represents that Todd only has $40 to spend?

A.

B.

C.

D.

1 2 3 4 5 6 7 8 9 t

3

6

9

12

15

18

21

24

27

30 C

3

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9. Solve (

)

. Justify each step taken.

Steps Reasons

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10. The ideal gas law, , is a well-known equation in science that describes the behavior of gases. is the

pressure of the gas, is the volume of the gas, n is the amount of the gas, is a constant, and is the temperature

of the gas. Which of the following statements about the ideal gas law are true? Select all that apply.

Dividing both sides of the equation by V results in an equation solved for P.

Dividing both sides of the equation by R results in an equation solved for T.

Subtracting P from both sides of the equation results in an equation solved for V.

Dividing both sides of the equation by RT results in an equation solved for n.

Subtracting PV from both sides of the equation and then dividing both sides of the equation by results

in an equation solved for R.

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11. Which of the following expressions can be rewritten as a difference of squares? Select all that apply.

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12. Which values of give the expression

a real number result when simplified?

A.

B.

C.

D.

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MAFS.912.A-SSE.1.1a

13. A theme park cost $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and

hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases d hot dogs and b

hamburgers, the amount of money he spends can be modeled by the equation . Which of the

following are correct interpretations for parts of this equation?

represents the cost of entering the park.

represents the cost of purchasing d hot dogs.

represents the cost of purchasing d hamburgers.

represents the cost of entering the park.

represents the cost of purchasing b hot dogs.

represents the cost of purchasing b hamburgers.

represents the cost of entering the park.

represents the cost of purchasing d hot dogs and b hamburgers.

MAFS.912.A-CED.1.1

14. A department store offers a frequent-buyers reward card. Every time a customer earns 100 or more points, the

customer receives a gift certificate. Each purchase is worth 12 points, and customers automatically earn 25 points

when they sign up. Which inequalities could be used to find the number p of purchases a customer needs to make to

earn the first gift certificate?

–

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15. Determine whether each of the following are rational or irrational.

Rational Irrational

The product of √ and

( ) evaluated at √

The sum of √ and √

( ) evaluated at

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16. Yara runs 2 miles the first day. She wants to run a quarter of a mile farther each day. What type of graph would

show how much she runs each day?

A. exponential

B. quadratic

C. linear

D. none of the above

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MAFS.912.A-SSE.1.2

17. If Jan jogged miles and Julie jogged miles, how many times longer was Julie’s travel distance

than Jan’s?

A. 3

B. 16

C. 24

D. 63

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18. Lena made 32 ounces of a fruit drink mix using pineapple juice and grapefruit juice. The number of ounces of pineapple juice in the fruit drink mix is 5 more than 2 times the number of ounces of grapefruit juice in the fruit drink mix. Which graph shows the number of ounces pineapple juice, x, and the number of ounces of grapefruit juice, y, in the fruit drink mix? What system of equations was used to create the graph?

A.

B.

C.

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D.

19. Jerome is constructing a table of values that satisfies the definition of a function. Which number(s) can be placed in

the empty cell so that the table of values satisfies the definition of a function? Select all that apply.

-5

-1

0

2

11

17

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20. The data set below shows 15 students’ scores on a test. Describe the shape of the data distribution if the student

who scored 100 is not included in the data set.

A. The data distribution is skewed right.

B. The data distribution is symmetric.

C. The data distribution is skewed left.

D. It is impossible to determine the shape of the data distribution.

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MAFS.912.F-LE.1.1

21. The table below represents the function F.

3 4 6 7 8

( ) 9 17 65 129 257

The equation that represents this function is:

A. ( ) B. ( )

C. ( ) D. ( )

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22. Marcello is tiling his kitchen floor with 45 square tiles. The tiles come in whole-number side lengths of 6 to 12

inches. The function ( ) , where s is the side length of the tile, represents the area that Marcello can

cover with the tiles. What is the domain of this function?

A. All real numbers between 6 and 12, inclusive

B. All rational numbers between 6 and 12, inclusive

C.

D.

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23. The graph shows the speed of an airplane during a trip from Tucson to Las Vegas. Which situation is best

represented by the graph?

A. An airplane took off and increased speed steadily for 15 minutes. For 30 minutes, the plane flew at 600 mph.

The airplane then steadily decreased speed until it landed 20 minutes later.

B. An airplane took off and increased speed steadily for 15 minutes. For 30 minutes, the plane flew at 600 mph.

The airplane began to slow down steadily until its speed was 300 mph. The airplane circled the airport for about

7 minutes, and then slowed down steadily until it landed 15 minutes later.

C. An airplane took off and increased speed steadily for 15 minutes. For 30 minutes, the plane flew at 600 mph.

The airplane began to slow down steadily until the speed was 100 mph. The airplane circled the airport for

about 10 minutes, and then slowed down steadily until it landed 15 minutes later.

D. An airplane took off and increased speed steadily for 15 minutes. For 45 minutes, the plane flew at 600 mph.

The airplane began to slow down steadily until the speed was 300 mph. The airplane circled the airport for

about 7 minutes, and then slowed down steadily until it landed 75 minutes later.

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MAFS.912.S-ID.3.8

24. Which of the following correlation coefficients indicate a strong linear correlation? Select all that apply.

-0.872691 0.568962

-0.658799 0.798264

-0.125866 0.989862

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25. Jewelers consider weight, cut grade, color, and clarity when pricing diamonds. In researching jewelry prices, Yvonne

makes the following statements based on her observations. Which of the statements are statements of causation?

Select all that apply.

Heavier diamonds tend to be sold at higher prices.

A particular diamond costs $264.

Higher clarity drives up the price of a diamond.

There appears to be a relationship between color and price.

A darker color decreases a diamond’s clarity.

Diamonds with lower cut grades seem to sell at lower prices.

Each activity will be graphed, with time on the horizontal axis. Match the activities with appropriate scales for the

horizontal axis.

26. Graphing the remaining amount of a sandwich against the time taken to eat it

A. 0 days to 60 days

27. Graphing the distance traveled against the time taken to drive to work 30 miles away during rush hour

B. 0 seconds to 2 seconds

28. Graphing the length of a signature against the time spent writing it C. 0 minutes to 10 minutes

29. Graphing the amount of weight lost against the time spent on a new diet and exercise regimen

D. 0 hours to 24 hours

30. Graphing the distance traveled against the time taken to fly from the east coast of the United States to Buenos Aires.

E. 0 hours to 10 hours

F. 0 minutes to 60 minutes

G. 0 seconds to 30 seconds

H. 0 days to 3 days

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31. Keith determines the zeros of the function ( ) to be -6 and 5. What could be Keith’s function?

A. ( ) ( )( ) B. ( ) ( )( )

C. ( ) ( )( ) D. ( ) ( )( )

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MAFS.912.A-REI.3.5

32. Which of the following systems of equations has the same solution as the given system?

A.

B.

C.

D.

MAFS.912.N-RN.2.3 33. Given:

√

√

√

√

Which expression results in a rational number?

A. B.

C. D.

MAFS.912.F-LE.1.1

34. The table below shows the average yearly balance in a savings account where the interest is compounded annually.

No money is deposited or withdrawn after the initial amount is deposit.

Year Balance (in Dollars) 0 380.00

10 562.49

20 832.63

30 1,232.49

40 1,824.39

50 2,700.54

Which type of function best models the given data?

A. Linear function with a negative rate of change

B. Linear function with a positive rate of change

C. Exponential decay function

D. Exponential growth function

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MAFS.912.F-BF.2.3

35. Jean graphed

Then she shifted the -intercept down 3 units and doubled the slope. What is the

equation of her new line?

A.

B.

C.

D.

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36. Determine whether each function’s average rate of change on the interval to is equal to 2.

( ) YES NO

( ) YES NO

( )

YES NO

( ) YES NO

( ) YES NO

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37. Which of the following inequalities have the solutions shown on the graph?

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38. Which of the following is the best approximation of the solution of the equation ( ) ( )?

A. B.

C. D.

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39. The data sets below show the numbers of cookies purchased by students at a bake sale. Which of the data sets is

represented by the dot plot?

A. 2 2 4 4 1 1 5 1 3 2 1

B. 2 4 4 2 3 3 2 1 1 3 5 1 2 2 1

C. 1 2 1 1 2 1 2 2 3 4 5 1 3 4 4

D. 3 2 2 3 1 3 1 4 4 5 1 1 1 2 2

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40. Which expression is the simplified form of (

)

?

A.

B.

C.

D.

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MAFS.912.A-APR.1.1

41. Simplify each of the following expressions to determine which are linear.

( ) ( )

( ) ( )

( ) ( )

( ) ( )

( ) ( )

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42. A basketball player gets 1 point for each free throw, 2 points for each shot inside the 3-point line, and 3 points for

each shot from outside the 3-point line. A player scores 30 points in a game. Write a linear equation in three

variables to represent this situation. If the player made 3 free throws and 6 shots inside the 3-point line, how many

shots did she make from outside the 3-point line?

A. ;

5 shots from outside the 3-point line

B. ;

5 shots from outside the 3-point line

C. ;

15 shots from outside the 3-point line

D. ;

15 shots from outside the 3-point line

43. To print custom-designed T-shirts, Maria must pay a $45 fee plus $15 for each T-shirt. What equations could be used to find the number of T-shirts Maria could print with $390?

MAFS.912.N-RN.2.3 44. Which of the following are equal to ( )

. Assume that is positive. Select all that apply.

√

√

√

√

√

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MAFS.912.S-ID.2.6 45. The table shows the median weight, in pounds, of babies born at a particular hospital for the first 6 months after

they are born. The line y = 1.7x + 8.1 is fit to the data in the table, resulting in the residual plot below. Which of the

following are true? Select all that apply.

The residuals do not appear to follow a pattern.

The residuals are mostly below the x-axis.

The residuals are relatively small compared to the data values.

The residuals are relatively large compared to the data values.

The line is a good fit to the data.

MAFS.912.N-RN.2.3 46. Which of the following is equal to √( )

? Assume that is positive.

A.

B.

C.

D.

MAFS.912.F-BF.1.1

47. In a factory, the cost of producing n items is ( ) . Which function describes the average cost of

producing one item when n items are produced?

A. ( )

B. ( )

C. ( )

D. ( )

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48. Two websites launched at the beginning of the year. The number of visits ( ) to website is given by some

exponential function, where is the time in months after the website is launched. The number of visits ( ) to

website is given by some quadratic function. The graph of each function is shown below. For each of the given

values, compare ( ) and ( )

t 2 ( ) ( ) ( ) ( )

t 3 ( ) ( ) ( ) ( )

t 4 ( ) ( ) ( ) ( )

t 5 ( ) ( ) ( ) ( )

t 12 ( ) ( ) ( ) ( )

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49. Write (√ )

using rational exponents. Assume and are both positive.

A.

B.

C.

D.

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50. Which of the following do not have integer exponents when rewritten in rational exponent form and simplified?

Assume that s is nonnegative.

√

√

√

√

√

√

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51. Let ( ) and ( ) . Find ( ) ( ) and ( ) ( ). Simplify your answers.

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52. A company provides bus trips to various events for adults and children. The company charges $15 for each adult and $8 for each child for a trip to an upcoming play. The bus has a maximum capacity of 40 people, and the company needs to earn a minimum of $400 from this event to make a profit.

a. Write a system of inequalities that represents this situation and graph it.

b. Graph the system of inequalities from part a.

c. 20 adults and 15 children are going to the play. Can the bus hold that many people and does the company make a profit? Explain by using the graph from part b.

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53. Gwendolyn has already read 130 pages of her 400-page summer reading book. If she reads at an average rate of 45

pages per hour, how long will she need to finish the book? Write and solve an equation to find the answer. Show

your work.

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54. The domain of the function ( ) is given as . What is the range? Show your work.

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55. What is the solution to the following system of equations?

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56. A minor league baseball team wants to sell ad space on their outfield wall to local businesses. The team

originally thinks about charging $250 per ad. However, the local businesses know that the more ads there

are, the less focus each individual ad will get, so they’re not willing to pay as much per ad if they know

there will be more of them. The team does market research and finds that they can get $250 for one ad,

$245 per ad for two ads, $240 per ad for three ads, and so on. The total revenue from all the outfield

banners is calculated using the expression a(250 - 5(a - 1)). Interpret what the expression 250 - 5(a - 1)

represents, and explain your reasoning.

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57. Martha’s text message plan costs $15.00 for the first 1000 text messages sent plus $0.25 per text over

1000 sent. Let ( ) represent the cost of sending t text messages over 1000. Sketch a graph of this

relationship, and find and interpret the ( ) .