Name:    Algebra 1 SOL Diagnostic

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

If 3 computer disks and 5 notebooks cost \$7.50 and 4 computer disks and 2 notebooks cost \$6.50, how much does 1 computer disk cost?
 a. \$0.75 c. \$1.25 b. \$1.00 d. \$1.50

2.

If you solve for , what does y equal?
 a. c. b. d.

3.

Given , which is an example of the result after applying the Addition Property of Inequality?
 a. (3) (3) c. (3) (3) b. d.

4.

Which table shows ordered pairs that satisfy ?
 a. c. b. d.

5.

Which situation could be a direct variation relationship?
 a. The number of hours Saul works and the amount of money he makes. b. The distance a freshman can jump and the number of siblings he has. c. The length of your car and the cost of parking it in a city garage. d. The time it takes 3-year-old Jenny to say the alphabet and the number of times she practices it.

6.

Virginia cotton and peanut production and acreage for 2002 is shown in this matrix.If the state wanted to double the production but keep the acreage the same, which matrix would represent this new situation?
 a. c. b. d.

7.

What is the simplified form of ?
 a. c. b. d.

8.

There were 90,000 people in Virginia who were still without power on September 22, 2003, after Hurricane Isabel hit the area. Power had been restored to 610,000 Virginia residents by that day. Which equation could be used to find x, the original number of people without power?
 a. c. b. d.

9.

What is the solution of ?
 a. b. 3 c. d. 6

10.

Which is an equation of the line with slope that contains the point at (3, 6)?
 a. c. b. 0 d.

For the following questions, adult’s tickets to a museum cost \$10 while children’s tickets cost \$6. Suppose that at the end of one day the museum had sold 5,000 tickets and had received \$42,000 in admission fees.

11.

Which system of equations could represent this situation if x is the number of adult’s tickets sold and y the number of children’s tickets sold?
 a. c. b. d.

12.

How many adult’s tickets did the museum sell that day?
 a. 2,000 b. 2,500 c. 3,000 d. 4,000

13.

The population of Virginia in 2003 was about , with an area of about square miles. Which was the approximate population per square mile of the state in 2003?
 a. c. b. d.

14.

Which is a function of x?
 a. c. b. d.

15.

Which is the graph of ?
 a. c. b. d.

For the following questions, use this stem-and-leaf plot which shows the number of miles driven from home to work by 10 employees at two different companies.

 A B 3  2  1 0 1  3  5 7  7  4 1 2  7  7 8  7  6 2 4  6 0 3 2  9 3|9 = 39

16.

Which statement is true?
 a. The mean, median, and mode for company A are each higher than the mean, median, and mode for company B. b. The mean for company A is the same as the mean for company B, but the median for A is greater than the median for B. c. The median for company A is the same as the median for company B, but the mean for A is less than the mean for B. d. The mean for company A is the same as the mean for company B, but the median for A is less than the median for B.

17.

What is the range of distances driven to work for the employees of company A?
 a. 17 mi c. 30 mi b. 29 mi d. 38 mi

18.

Which ordered pair is the solution of the system of equations shown in this graph?

 a. (1 ,4) b. (3, 2) c. (2 , 3) d. (1, 8)

19.

Which is an equation of the line that contains the points at (8, 2) and (4, 6)?
 a. c. b. d.

20.

Rosilita paid \$10.85 for 3 loaves of bread and 2 gallons of milk. A gallon of milk costs \$0.91 more than twice the cost of a loaf of bread. Which equation could Rosilita use to find the cost of x of one loaf of bread?
 a. c. b. d.

21.

What is the range of the function ?
 a. c. all real numbers b. 4 d.

22.

What does equal?
 a. c. b. d.

23.

What is the complete factorization of ?
 a. c. b. d.

24.

The height of a tree is meters. What is this number rounded to the nearest tenth?
 a. 46.0 m c. 9.6 m b. 23.0 m d. 8.9 m

25.

A toy rocket is shot into the air at an initial velocity of 10 meters per second from a height of 4 meters. The equation giving the height h of the rocket above the ground at time t is h = . To the nearest tenth, what is the maximum height the rocket reaches?
 a. 9.1 m c. 12.3 m b. 10.7 m d. 13.1 m

26.

What is the simplified form of 5?
 a. c. b. d.

27.

Which graph shows a direct variation function?
 a. c. b. d.

28.

Which is the equation of the line shown in this graph?

 a. b. c. d.

29.

What is the slope of the line containing the points at (3, 2) and (5, 8)?
 a. b. 3 c. d. 5

30.

Which is the complete factorization of ?
 a. c. x(3 8xy) b. 3x(8y) d. 3x(1 8y)

31.

If 3 pounds of flour cost \$0.87, how much would 10 pounds of the same kind of flour cost?
 a. \$2.90 c. \$5.80 b. \$3.45 d. \$8.70

32.

The figure below shows a balanced scale. Which other scale would balance?

 a. b. c. d.

33.

What is the simplified form of (4abc)(2ab)?
 a. c. b. d.

34.

What property justifies that ?

35.

Which matrix could represent this information: 2 states in the United States have dogwood and 2 have magnolia for their state flower while 3 states have dogwood and 1 has magnolia for their state tree?
 a. c. b. d.

For the following questions, use this table which gives the age x as of 2003 and the height y of five Virginia lighthouses.

 Lighthouse Age (yr) Height (ft) Old Point Comfort 201 54 Assateague 170 145 New Point Comfort 199 63 Cape Henry 122 164 Old Cape Henry 211 90

36.

Which is the equation of the best-fit line? Round numbers to one decimal place. Use your graphing calculator.
 a. c. b. d.

37.

Predict the age in 2003 of a lighthouse if its height is 120 feet. Round your answer to the nearest year.
 a. 158 yr c. 178 yr b. 163 yr d. 192 yr

38.

Predict the height of a lighthouse if its age in 2003 is 100 years. Round your answer to the nearest whole number.
 a. 184 ft c. 212 ft b. 196 ft d. 347 ft

39.

What is the slope of the line shown in this graph?

 a. b. c. 2 d.

40.

What is the simplified form of ?
 a. c. b. d. 4

41.

What is the domain of the function that contains the ordered pairs given in this table?

 x y 1 3 2 5 3 7 4 9
 a. {1, 2, 3, 4, 5, 7, 9] b. {3, 5, 7, 9} c. {1, 2, 3, 4} d. All real numbers

42.

What is the simplified form of ()?
 a. c. b. d.

43.

If , what is (1)?
 a. 9 c. 5 b. 5 d. 9

44.

What are the solutions of ?
 a. c. , b. d. ,

45.

What is the solution of ?
 a. c. b. d.

46.

What are the zeros of the function whose graph is shown in the figure?

 a. 2, 2 c. 0 b. 3 d. 3, 2, 0

47.

Mount Rogers, the highest point in Virginia, has an elevation of 5,729 feet. What is this number in scientific notation?
 a. c. b. d.

48.

Mr. and Mrs. Rodriquez are taking their children to Colonial Williamsburg. A 1-day admission pass is \$33 for an adult and \$16.50 for a child. If they pay a total of \$115.50 admission for themselves and their children, how man children do they have?
 a. 2 b. 3 c. 4 d. 5

49.

Which is true about the graph of ?
 a. The x-intercept is 6, and the y-intercept is . b. The x-intercept is , and the y-intercept is 10. c. The x-intercept is 10, and the y-intercept is . d. The x-intercept is , and the y-intercept is 6.

For the following questions, use this box-and-whisker plot that shows student scores on an algebra quiz.

50.

What was the median score on this quiz?
 a. 17 b. 16 c. 15 d. 12

51.

If 40 students took this quiz, and none scored 12, how many scored higher than 12?
 a. 10 b. 20 c. 25 d. 30

52.

What is the value of if ?
 a. b. 7 c. 77 d. 175

53.

What are the solutions of ?
 a. 5, 9 c. b. 0, 4 d. 5, 1

54.

What is the complete factorization of ?
 a. c. b. d.

55.

Aubrey graphed the quadratic function as shown in this figure. What are the solution(s) of the equation ?

 a. , c. 2, 3 b. 1, d. 2,

56.

Which diagram represents (y b)?
 a. c. b. d.

57.

What is the slope of the line ?
 a. 3 b. c. d.

58.

Which is an equation of the line shown in this graph?

 a. c. b. d.

59.

These matrices give the numbers of students from middle schools in Portsmouth and Norfolk who visited the art museum one day. Which matrix represents the sum of the two student groups at the museum?

 a. c. b. d.

60.

The figure shows the graph of . What is ?

 a. b. 0 c. 1 d. 3