Algebra IA Final

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Algebra IA CR Final

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Algebra I Name____________________________________

1 A.1AJeri can row a boat at a speed of 8 miles per hour with the current. The number of miles, m, she rows with the current in h hours can be represented by the function m=8h. Which of the following is the dependent quantity in this function?

A The amount of time Jeri rows C The weight of Jeri’s boatB The number of miles Jeri rows D The speed of the current

2 A.1BIn many parades, flowers are used to decorate the floats. The table below shows the number of flowers used in each row of a parade float. Which equation best describes the data?Row number, r Number of flowers, n

1 542 583 624 66

A n= 4r + 50 C n=2r + 502B n= 4r + 54 D n=r + 54

3 A.1CA salesperson’s commission, c, is 6% of her total sales, s. Which function best represents the salesperson’s commission?A c= s + 0.06s C c= 0.06sB c= (6/s)(100) D c= (s + 0.06

4 A.1EThe table below lists the amounts of interest paid for a simple interest loan.

Based on the rate in the table above, how much interest would be paid for a $500 loan?

5 A.1D

What is the equation, in slope-intercept form, of the linear function graphed below?

A C

B D

6 A.1DTo use a school bus for a field trip, the high school athletic club must pay $75 for gasoline plus $15.00 for each students going on the trip. Which representation below best describes the relationship between the number of students, s, going on the trip and the total cost of the bus, t?A C

B t= 15s – 75 D t(s)= {(10, 225), (20, 375), (30, 525), (40, 675)}

7 A.1DJerome received a gift card for $20 worth of video game rentals at a video game store. If the cost of renting a video is $2.50, which table best represents b, the balance remaining on his gift card after he rents n videos?A C

B D

8 A.4AWhat is the value of the function below when it is evaluated at f(-3)?

9 A.1ETo buy a membership at a recreation center, people must pay a one-time registration fee plus a regular monthly fee. The table below shows the total amount a person pays, including the registration fee, for different months of membership. According to the following table, which of the following statements is true?Number of months Total amount paid

4 $1506 $200

12 $35024 $650

A The registration fee is $75 C The monthly fee is $50B The registration fee is $50 D The monthly fee is $37.50

10 A.1E

The graph below represents Cheyenne’s bicycle trip from her house to her friend’s house. On which segment of the graph does it appear that Cheyenne was riding her bicycle at the slowest pace?

A t C rB u D s

11 A.2AWhich graph below best represents the linear parent function?

A C

B D

12 A.6G

The table below shows the weight of an object on Earth compared to its weight on the Moon.

Weight on Earth (pounds)

Weight on the Moon (pounds)

12 2.0416 2.7220 3.424 4.0828 4.76

On July 20, 1969, Neil Armstrong became the first man to set foot on the moon. While there, he and Buzz Aldrin collected rocks that weighed 6.8 pounds on the Moon. Which is the weight, in pounds, of these rocks on Earth?

Record your answer and fill in the bubble on your answer document. Be sure to use the correct place value.

13 A.2B

The graph of the function is shown on the coordinate below. What is the domain of the function?

A 0 < x < 5 C x < 5B -5 < x < 5 D 5 x > -5

14 A.2BThe graph below shoes the cost of buying snow cones as a function of the number of snow cones sold.

What is the range of the function?A {(0.0). (1. 0.75). (3, 2.75), (4, 3.00), (5,

3.75), (6, 4.50)}C {0, 1, 2, 3, 4, 5, 6}

B {0, 0.75, 1.50, 2.20, 3.00, 3.25, 4.50} D {0.75, 1.50, 2.25, 3.00, 3.75, 4.50}

15 A.2BThe volume of air in a hot air balloon, y, compared to the time in the air the balloon is heated, x, can be modeled by the function y=25x + 750. What is the range of the function when the domain is {2, 4, 6, 8, 10}?

A {800, 850, 900, 950, 1,000} C {750, 775, 800, 825, 850}B {750, 800, 850, 900, 950} D {775, 800, 825, 850, 875}

16 A.2CIdentify the graph that best represents the relationship between the number of gallons of gasoline Mr. Johnson purchased at $1.49 per gallon and the total cost of his gasoline.

A C

B D

17 A.3AWhich expression is equivalent to 3 times the sum of x squared and 7?A CB D

18 A.3BAna used identical square tiles to design the four figures shown below. Which expression can be used to determine the number of square tiles used in each figure if n represents the number assigned to the figure?

A 2n + 1 C 3nB 2n D n + 219 A.4AMarcie wants to use her graphing calculator to graph the following equation.3x + 6 - 4y - 4= 18

She knows that she must first solve for y to input the equation into the calculator’s graphing utility.Step 1: 3x + 6 - 4y - 4 =18Step 2: 3x - 4y + 2= 18Step 3: ?Step 4: 3x - 4y= 16Step 5: 3x - 3x 4y= -3x + 16Step 6: -4y = -3x + 16 -4 -4

Step 7: y= x - 4

Which step below describes the missing Step 3?A 3x - 4y - 6= 18 – 6 C 3x - 4y + 2 -2 = 18 - 2B 3x - 4y + 4 - 4 = 18 - 2 D 3x - 4y - 4= 18 - 4

20 A.4ALook at the polynomials modeled below using algebra tiles. Which expression describes the sum of the two polynomials in terms of x?

A CB D

21 A.4BSimplify the expression 6 - 3(5x + 2) - 10xA 8 -25x C - 25xB 12 - 25x D 5x + 6

22 A.5AIdentify the situation that best represents the amount f(n) in the function f(n)= 75 + 80nA Carlton deposited $75 per month for n

months and an extra $80 in the summer C Alton paid $75 each for n gifts and spent

$80 on himselfB Dylan worked for 75 hours at n dollars per

hour and earned $80 in tips D Bonita spent $75 on registration fees and

$80 each for n credit hours last semester

23 A.5CThe table below shows various values for x and y. Which equation best describes the relationship between x and y?

x y

-6 23-2 117 -16

11 -28

A y= -x + 17 C y= -3x + 5B y= 3x + 41 D y= -5x - 7

24 A.5CWhich situation below could be described by the function y= 100 + 25xA Katie makes $100 per hour plus s $25

bonus for being employee of the month C A fund starts with $100 and increases in

value by 25% each yearB Don the Disco DJ charges an upfront fee

of $100 for each show performed plus $25 per hour worked.

D Deante has money left after starting with $100 then spending $25 per day

25 A.5CWater is heated on a Bunsen burner in a chemistry class. The temperature of the water is recorded in the table below for each second the Bunsen burner is on.

Which equation below best describes the temperature of the water, T, based on the number of seconds, t, the water is heated?A T=2t - 16 C

T= t - 16

B T=2t + 16 DT= t + 16

26 A.6AWhat is the slope of a line that contains the points (2, 0), (0, 3) and (4, -3)?

A-

C

B-

D

27 A.6BA small business purchased a van to handle its delivery orders. The graph below shows the value of this van over a period of time. Which of the following best describes this situation?

A The van increases in value $1600 each year

C The van was purchased for $1600

B The van has no value after 5 years D The van decreases in value $1600 each year

28 A.6BThe total cost, y, of riding rides at the county fair can be determined by using the linear equation y= 1.25x + 5.50, which describes the cost of each ride, x, and the price of admission. Which equation below represents an increase in the cost of each ride of $0.25 and a decrease in the price of admission by $0.30?

A y= 0.95x + 5.25 C y= 1.5x + 5.20B y= 0.95x + 5.75 D y= 1.5x + 5.80

29 A.6CHow does the graph of y= 3x + 2 compare to the graph of y= 4x + 2?

A The slope of y=3x + 2 has a greater y-intercept

C The slope of y=3x + 2 is less steep

B The slope of y=3x + 2 has a smaller y-intercept

D The slope of y=3x + 2 is steeper

30 A.6CThe graph of a linear function is shown below.

If the slope of the line is multiplied by two, but the y-intercept remains constant, what will be the coordinates of the x-intercept?A (2, 0) C (8, 0)B (0, 2) D (0, -6)

31 A.6DWhich equation describes the line passing through the points (3, 0) and (0, 4)?A 3x + 4y = 12 C y= 3x + 4B 4x + 3y =12 D x= 4y + 3

32 A.6EWhat is the y-intercept of the function f(x)= 3(x - 2)?A -2 C 3B -6 D 1

33 A.6F

The cost, c, of producing n hamburgers at a fast-food restaurant is found using the equation c= 0.62n + 1. The cost of producing n deluxe hamburger is found using the equation c= 0.9n + 1. How does the graph of deluxe hamburger costs compare to the graph of the regular hamburger costs?

A The slope is smaller, and the y-intercept is greater

C The slope is greater, and the y-intercept remains the same

B The slope is greater, and the y-intercept is smaller

D The slope is smaller, and the y-intercept remains the same

34 A.6FThe cost to rent a car for one day at Felipe’s Luxury Car Rental depends on the number of miles driven. The cost is described by the function c(m) = 16 + 0.05m, where m represents the number of miles driven and c represents the cost of the rental. If the slope of this function rule were changed to 0.10, which graph below best represents this new function?

A C

B D

35 A.6GIf y varies directly with x, and y is 84 when x is 16, which of the following best represents this situation?A y=68x C y=100xB

D

36 A.7A Brandon has a budget of $58 to spend on clothes. The shirts he wants to buy are on sale for $9 each, and the pair of pants he wants costs $21. All prices include tax. Which inequality could be used to determine s, the maximum number of shirts Brandon can buy if he also buys the pair of jeans?A 30s < 58 C 21s + 9 < 58B 9s - 21s < 58 D 9s + 21 < 58

37 A.7BFor what value of x is (x, -3) a solution for 4x - 3y = 21?A -11 C 11B 3 D -3

38 A.7BThe following model shows the steps Olga used with algebra tiles to solve the equation 4x - 6= 3x + 3.

Based on the model above, which equation represents Step 3 of Olga’s solution?A 4x - 3x - 6 = 3x - 3x + 3 C x=9B x - 6 + 6 = 3 + 6 D x - 6 = 3

39 A.7CIn 2004 a married couple could have calculated their estimated income tax, t, for that year using the equation t= 0.25c - 6525, in which c represents their combined taxable income. If a married couple had a combined taxable income between $60,000 and $64,000, which of the following is a reasonable amount for their income tax?A $13, 869 C $6, 525B $15, 500 D $8, 975

40 A.7CA symphony orchestra sold out one of its concerts. The tickets sold for $24 each and the concert hall holds 609 people. About how much money did the symphony collect from the sale of its tickets?

A $150,000 C $1,500B $1,500,000 D $15,000

Answer Key

Problem # Answer TEK1 B A.1A2 A A.1B3 C A.1C4 90 A.1E5 D A.1D6 D A.1D7 C A.1D8 -6 A.4A9 B A.1E10 C A.1E11 B A.2A12 40 A.6G13 B A.2B14 D A.2B15 A A.2B16 C A.2C17 B A.3A18 D A.3B19 C A.4A20 A A.4A21 C A.4B22 D A.5A23 C A.5C24 B A.5C25 B A.5C26 A A.6A27 D A.6B28 C A.6B29 C A.6C30 A A.6C31 B A.6D32 B A.6E33 C A.6F34 A A.6F35 D A.6G36 D A.7A37 B A.7B

38 D A.7B39 D A.7C40 D A.7C