Algebra 1 STAAR Review Name: Date: 1. y x - Denton ISD

[Pages:15]Algebra 1 STAAR Review

Name:

Date:

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1. Which graph does not represent y as a function of x?

I.

II.

III.

A) I only

B) II only

C) III only

D) I and III

E) I and II

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2. Which expression is equivalent to

?

A.

B.

3. Which expression represents the nth term

of this arithmetic sequence? -9, -5, -1, 3, 7, ...

A. -9 + (n ? 1)4

B. -9 + (n ? 1)(-4)

C.

D.

C. 7 + (n ? 1)4

D. 7 + (n ? 1)(-4)

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4. A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality can be used to find all possible values of t, the time it will take this family to reach Dallas in hours, if they travel at an average speed of at least r miles per hour? (

A.

B.

C.

D.

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5. A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost is a function of the number of photocopies made. What is the dependent quantity in this situation?

A. The total number of photocopies made

B. The price per photocopy

C. The amount of the discount

D. The total cost of the photocopies

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6. A dentist made the scatterplot below to show the number of cavities her patients had as it relates to the number of times they flossed their teeth each week.

Which of the following best describes the correlation for the data?

A. Positive correlation

B. Nonlinear correlation

C. Negative correlation

D. No correlation

7. A table of values for the exponential function f is shown below.

x

f(x)

1

140,000

2

143,850

3

147,806

4

151,871

5

156,047

Which situation could describe this function? A. The value of a house increases by approximately B. The value of a house increases by $3,850 per year. C. The value of a house decreases by approximately

per year. per year.

D. The value of a house decreases by $3,850 per year.

__________________________________________________________________________________________________ 8. Which graph shows a function with a domain of all real numbers greater than 7?

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9. The population of a town is currently 9,000. The function

can be used to estimate p, the population

of the town t years from now. Based on this function, which statement is true?

A. The population of the town is increasing at a constant rate.

B. The population of the town will reach 10,000 between 11 and 12 years from now.

C. The population of the town will increase by 256 people two years from now.

D. The population of the town will increase and then decrease.

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10. The cost, C, of getting your car repaired is given by

where h is the number of hours in labor the

mechanic works on your car, 75 is the cost per hour the mechanic charges, and 90 is the cost for the parts needed to

repair your car. Identify the independent variable.

A) 90

B) C

C) h

D) 75 2

11. The dishwasher at a restaurant is loaded with the same number of dishes every time it is used. The table below shows the total number of dishes washed as a function of the number of times the dishwasher is used. Based on the data in the table, what is the total number of dishes that will have been washed when the dishwasher is used 9 times? Record your answer and fill in the bubbles on the grid.

Restaurant Dishwasher

Number of Times Total Number of Dishes

Used

Washed

2

52

4

104

6

156

8

208

__________________________________________________________________________________________________ 12. The set of ordered pairs below represents some points on the graph of function f.

{(3, 11), (-1, 3), (5, 15), (-4, -3), (-7, -9)} What is the parent function of f?

A.

B.

C.

D.

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13. What is the range of the function shown below?

A. {-7, -2, 0, 5} C. {-9, -7, -4, -2, -1, 0, 5}

B. {-9, -4, -1} D. {-1}

__________________________________________________________________________________________________ 14. A storm is headed through North Texas. The duration of the storm is measured in hours while the rainfall is measured in inches as seen in the table below. a) What is the independent part of this situation?

b) What would the domain be for this scenario?

c) What would the range be for this scenario?

Duration of the storm(hrs), x

1

2

3

Amount of rain(inches), y

0.5

1

1.5

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15. The time, t, it takes to travel a certain distance varies

16. The length of one edge of a square is given

inversely as the rate, r. If t = 10h when r = 80km/h,

by

. Which answer represents the area

which equation represents this situation?

of the square?

A.

B.

C.

A.

B.

C.

D.

3

17. Which inequality can be represented by the graph below? A. B. C. D.

18. Katie rented a moving truck. The total rental cost included a one-time fee of $40.00 and $0.75 for each mile driven. Which equation represents, t, the total cost in dollars of renting a truck that was driven m miles?

A. .

B.

.7

C.

. D. .

_________________________________________________________________________________________________ 19. Determine which table of values represents a quadratic function? How do you know?

A.

B.

C.

x

y

-1 8

x

y

-3 -1

x

y

-2 8

0

5

0

0

0

4

1

2

3

1

2

8

2 -1

6

2

4 13

_________________________________________________________________________________________________ 20. Tickets for a school play cost $4 for adults and $2 for students. At the end of the play, the school sold a total of 105 tickets and collected $360. Write a linear system of equations letting x represent the number of adult tickets sold and y represent the number of student tickets sold.

Write the system below.

Graph the linear system.

Find the number of adult tickets and student tickets sold.

__________________________________________________________________________________________________ 21. On Monday, the office staff at your school paid $8.77 for 4 cups of coffee and 7 bagels. On Wednesday, they paid $15.80 for 8 cups of coffee and 14 bagels. Can you determine the cost of a bagel? Explain.

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22. The dimensions of a rectangle are

and ( ? ). Which expression best represents the perimeter of the

rectangle in simplest form?

A.

B.

C.

D.

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23. The graph of the quadratic function h passes through the points (-4, 32), (3, 4), (5, 14), and (7, 32). Which of the following shows the same relationship as h?

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24. What is the domain for the function graphed below?

25. What is the vertex of the graph of the

quadratic function

?

What is the range for the function graphed below?

A. A. (-3, 1)

B. B. (-3, -1)

C. C. (3, -1)

D. D. (3, 1)

E.

F.

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26. Simplify the polynomial:

27. If (-7, y) is a solution to the equation

, what is the value of y?

A.

B.

A. -4

B. -8

C.

D.

C. -3.5

D. -6.7

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28. Ms. Barton determined that the total cost of her wedding, c, could be represented by the equation

where n is the number of people attending the wedding. If Ms. Barton's wedding cost $8625, would it be reasonable

that 135 people attended the wedding? Explain.

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29. What is the standard form of the equation of the line passing through points

.

A.

B.

C.

D.

5

30. Anna makes hand-painted plates. Her overhead costs are $750 per week and she pays an additional $10 per plate in material costs. If Anna sells the plates for $25 each, how many

31. What are the x-intercepts of the graph of quadratic function

plates does she have to sell each week before she can make a

A.

B.

profit?

C. 0 and -1

D.

A. 20

B. 30

C. 50

D. 75

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32. Trini's car breaks down on a highway. Trini estimates that she is 20 to 30 miles from the nearest car repair shop.

She calls a towing company that charges a fee of $80 plus $3 per mile to tow a car. If Trini uses this towing company,

which is the best estimate for the amount of money, m, she will pay for the company to tow her car?

A.

B.

C.

D.

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33. Which of the following graphs represents the function

A.

B.

C.

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34. Which shows

factored completely?

35. If (x, -4) is a solution to the equation

, what is the value of x?

A. 3x ( 2x + 1 ) ( x ? 1 )

B. 3x ( 2x ? 1 ) ( x + 1 )

A. -4.8

B. -3

C. 3 ( 2x + 1 ) ( x ? 1 )

D. 3x ( 2x2 + 1 ) ( x ? 1 )

C. 1.6

D. 7

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36. Which table shows the same relationship as

37. A table of values for the quadratic function f

is shown below.

A

If 3 is one solution

to f(x) = 0, what is

the value of the

B

other solution?

C

D

...

.

_________________________________________________________________________________________________ 38. What is the slope of a line that passes through the points (2, -4) and (6, 4)?

A. 0

B. -2

C. 2

D. undefined

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39. The graph of the linear equation

is shown

below. Which coordinate pair is in the solution set of

?

A. (4, -3) B. (1, 2) C. (5, 6) D. (0, 7)

40. Auto-Check Motors charged Mr. Jones $84.00 for an automotive part plus $68 per hour for the mechanic's labor to install the part. The total charge was $353.00. For about how long did the mechanic work to install the part on Mr. Jones' car?

A. 6 h

B. 5 h

C. 4 h

D. 3 h

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41. To solve

, Anita made this table for the related function

.

x

y

5

4

6

0

7

-2

Which shows the solutions for this quadratic equation?

A. x = 0 only

B. x = 0 and x = 6

C. x = and x =

D. x = 6 and x = 9

8

-2

9

0

10

4

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42. The graph of

is shown below.

If the coefficient of is changed from 3 to another positive number to create a new function, how will the graph of the new function compare with the graph of the original function?

A. The x-intercepts of the new graph will be the same as the x-intercepts of the original graph.

B. The vertex of the new graph will be different from the vertex of the original graph.

C. The new graph will be wider or narrower than the original graph.

D. The new graph will open in the opposite direction as the original graph.

__________________________________________________________________________________________________ 43. George works in a restaurant cleaning tables and earns $15 per night plus $0.75 for each table he cleans. George's boss told him that because George was doing such a good job, she was going to double the amount George earned for each night. Which of the following equations could George use to calculate his new earnings, e, for cleaning t tables?

A.

.

B.

.

C.

.

D.

.

7

44. What are the effects of changing c in a quadratic function?

45. What is the parent linear function?

What is the parent quadratic function?

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46. The equation

represents the relationship

between F, the temperature in degrees Fahrenheit, and C, the temperature in degrees Celsius. If the temperature is 104F, what is the temperature in degrees Celsius? Record your answer and fill in the bubbles on the grid.

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47. Nyesha earns $1,000 per month plus a commission of 5% of the total dollar amount of each sale she makes. Her

total monthly earnings, P, are represented by the equation

. , where t represents the total dollar

amount of her sales for the month. Which equation will represent her total monthly earnings in dollars if her

commission increases an additional 2%?

A.

.

B.

.

C.

.

D.

.

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48. Charles and Jenna took turns driving while on vacation. By the end of their vacation, they had driven about 900

miles, with Jenna driving about half as many miles as Charles. Which statement is reasonable, based on this

information?

A. Jenna drove 295 miles and Charles drove 610 miles

B. Jenna drove 610 miles and Charles drove 295 miles

C. Jenna drove 590 miles and Charles drove 305 miles

D. Jenna drove 600 miles and Charles drove 280 miles

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49. The graph below shows the relationship between the number of miles driven and the number of hours driven.

What does the slope of the graph represent?

A. The number of hours to travel 100 miles

Miles

B. The amount of miles traveled per hour

C. The amount of miles for 6 hours of driving

D. The number of miles driven per hour traveled

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50. What is the domain of the function f(x) = -x + 5 when

51. What is the range of the function

the range is {-1, 10, 7}?

f(x) = -x + 15 when the domain is {-3, -1, 11}?

__________________________________________________________________________________________________ 52. Kate earned $120 for 12 cars she washed. If the amount Kate earns varies directly with the number of cars she washed, how much will she earn for 5 cars?

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