Review for Final Exam s1

Review for Final Exam

1.  Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make the hot dogs. Jim sells hot dogs for $2.00 each. If he sells h hot dogs, which equation models his profit (P)?

A P = 2h + 250

B P = 2h – 250

C P = 250h + 2

D P = 250h – 2

2.  The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $97.15. A van that is driven 127 miles costs $106.15. What is the flat rental fee?

A $19.00

B $20.00

C $45.00

D $49.00

3.  A line has a slope of -7 and a y-intercept of -17. Which of the following is an equation of the line?

A y= -17x-17

B y= -x-149

C y= -7x-17

D y= -7x-1

4. Line p passes through the points (-2, 3) and (4, 1). Which is an equation of line p?

A y = -x + 1

B y = -x – 3

C y = 13x + 113

D y = -13x + 73

5. Which graph represents a function?

A B

C D

6. Write the equation of the line perpendicular to and passing through the point (0,5).

7. Cell phone Company Y charges a $10 start-up fee plus $0.10 per minute, x. Cell phone Company Z charges $0.20 per minute, x, with no start-up fee. Which function represents the difference in cost between Company Y and Company Z?

a)  f(x)= -0.10x – 10

b)  f(x)= -0.10x + 10

c)  f(x)= 10x – 0.10

d)  f(x)= 10x + 0.10

8. a) Determine the slope and interpret what it means within the context.

b) What is the domain of the linear function?

c) How long would a candle with an initial height of 24 last if it burned at the same rate?

d) Compare the slope of the function for the original candle above to the slope of the linear function for a second candle whose x-intercept is 4 and y-intercept is 12. What can you conclude about second candle?

e) After how many hours was the height of the candle 6 inches tall?

9.  Identify the mapping diagram that represents the relation and determine whether the relation is a function. Given this relation: {-6,-8, 1,-8, 2,-5, 3,7}

10.  The function rule represents the cost for shipping any number of calculators x from Company A. The cost for shipping calculators from Company B is represented in the table.

What is the difference in the cost per calculator shipped?

11. The table below shows the distance a car has traveled.

What is the meaning of the slope of the linear model for the data?

a)  The car travels 5 miles every minute.

b)  The car travels 4 miles every minute.

c)  The car travels 4 miles every 5 minutes.

d)  The car travels 5 miles every 4 minutes.

12. Dennis compared the y-intercept of the graph of the function f(x)=3x+5 to the y-intercept of the graph of the linear function that includes the points in the table.

What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?

a)  -11

b)  -9.3

c)  0.5

d)  5.5

13. Which of the following is an irrational number?

a) 15

b) 0.33

c) 125

d)3

14. Which of the following tables matches up with the function fx=x4+3?

a)

b)

c)

15. What is the slope and y-intercept of a line with the following Now-Next rule:

NEXT = NOW-3 starting at 6.

a)  m=6, y-int:(0,-3)

b)  m=3, y-int: 0,-6

c)  m=-3, y-int:(0,6)

16. What is the slope of a horizontal line? ______What is the slope of a vertical line?______

17. Which of the following is NOT an algebraic expression?

a) 3xyz3+abc6

b) 3x2+4x+6

c) 5y7+6-7z8-2b+8m

d) 8m=186m2

18. Which of the following points is on the line y=2x+2?

a) 0,4

b) 0,-2

c) 2,6

d) (3,-8)

19. Given x and y values, which are considered independent and which are dependent?

a) x values are independent and y values are dependent

b) y values are independent and x values are dependent

c) x and y values can be either independent or dependent

20. You made the following scores on 6 different tests: 86, 70, 80, 90, 95, & 88. What do you need to make on the 7th test, so that your average is an 87?

a) 105

b) 100

c) 80

d) 93

21. Identify the equation of a line that is parallel to y=3x-1 and passes through the point (4,16).

a) y=3x+16

b) y=4x+4

c)y=3x+4

d) y=13x+16

22. Identify the algebraic expression for the following verbal expression: Three less than the quantity of x times 4.

a) 3-4x

b) 4+x-3

c) 4x-3

23. Use a graphing calculator to find the equation of the line of best fit for the data. Find the value of the correlation coefficient r.

NOTE: Make sure you remember where to type the data in, how to turn on the r value, and what buttons to press to find the linear model/r.

a)  y=11.83x-1.11;r=-0.9760964904

b)  y=-1.11x+11.83;r=-0.9760964904

c)  y=11.83x-1.11;r=0.9527643586

d)  y=-1.11x+11.83;r=0.9527643586

24. Sketch the scatterplot for the given data in #23.

NOTE: Make sure you remember how to turn ON the scatter plot