Name:    Sample Algebra 1 SOL Test

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

1.

Beaula is canoeing on the Shenandoah River. She goes 20 miles downstream in 3 hours, and she returns the same distance upstream in hours. What is the speed of the current in miles per hour?
 a. mi/h c. mi/h b. mi/h d. mi/h

2.

The area of the figure shown is given by the formula (). If you solve this equation for h, what is h equal to?

 a. () c. () b. () d.

3.

Which is the complete factorization of ?
 a. () c. () b. () d. ()

4.

The length of each side of a square room is feet. What is this number rounded to the nearest tenth?
 a. 4.1 ft c. 16.5 ft b. 10.4 ft d. 33.0 ft

5.

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

 a. c. b. d.

6.

Which is the graph of a direct variation function?
 a. c. b. d.

7.

If , what is ?
 a. b. 25 c. 7 d. 29

8.

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

 x y 2 4 3 6 5 8
 a. {2, 3, 4, 5, 6, 8} c. {4, 6, 8} b. {2. 3. 5} d. All real numbers

9.

Which is an example of the Commutative Property of Addition?
 a. + ( + ) = ( + ) + b. ( + ) = ( + ) c. ( + ) = + d. + = +

10.

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

11.

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

12.

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

13.

Which is an equation for the model shown in the figure?

 a. c. b. d.

14.

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

15.

Which is the inequality shown in this graph?

 a. c. b. d.

16.

Amanda is preparing a box of 24 toys. Bags of marbles cost \$2.50 each, rubber balls cost \$2.00 each, and she wants the box to cost \$55.50. Which equation could she use to find how many bags of marbles x she should put in the box?
 a. b. c. d.

For the following questions, the length of a rectangular field is 20 feet more than three times its width, and its area is 672 square feet.

17.

Which equation could be used to find the width x?
 a. b. c. d.

18.

What is the length of the field?
 a. 79 ft c. 32 ft b. 56 ft d. 12 ft

19.

The following matrix gives the prices of 2 types of gasoline at 3 different gasoline stations.

The matrix below gives the prices one week later.

Which matrix shows the difference of the gasoline prices from the first week to the second?
 a. c. b. d.

For the following questions, use this table that shows the number of United States presidents born in the given states.

 State Number of Presidents Illinois 1 Massachusetts 4 New York 4 Ohio 7 Texas 2 Virginia 8

20.

What is the median number of presidents born in these states?
 a. 4 b. c. 7 d. 8

21.

What is the mean number of presidents born in these states?
 a. 4 c. 7 b. 4 d. 8

22.

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

23.

The graph of is shown in the figure. Which would you do to graph ?

 a. Shade above the line. b. Shade below the line. c. Change the line to dashed and shade above it. d. Change the line to dashed and shade below it.

24.

What are the zeros of the function?
 a. 5, 7 c. 2, 4 b. 2, 4 d. 1, 8

25.

Rondell collects baseball cards. He bought a package of 70 cards containing players for the New York Yankees and Atlanta Braves. If the number of Braves cards was 10 more than twice the number of Yankees cards, how many cards were there for players of each team?
 a. 20 Braves and 50 Yankees c. 40 Braves and 30 Yankees b. 30 Braves and 40 Yankees d. 50 Braves and 20 Yankees

26.

Samuel and Emerson were hiking in Jefferson National Forest. They saw a total of 24 squirrels and deer during their hike. They saw twice as many squirrels as deer. Which system of equations could be used to find how many squirrels s and deer d they saw?
 a. c. b. d.

27.

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

28.

If and the domain is {0, 1, 2}, what is the range?
 a. {1, 4, 7} c. {0, 3, 6} b. d. {1, 2, 5}

29.

What is the slope of the line ?
 a. 12 c. 0 b. 1 d. undefined

30.

Which could be the zeros of the function shown in this graph?

 a. 4, 4 c. 4, 3, 4 b. 0, 3 d.

31.

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

32.

What is the value of if and ?
 a. 15 b. 12 c. d.

33.

Which could be an equation of the line shown in this graph?

 a. c. b. d.

34.

The area of Great Dismal Swamp is about 223,000 acres. How is this number written in scientific notation?
 a. c. b. d.

35.

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

36.

What is the slope of the line containing the points at (1, 2) and (4, 6)?
 a. b. c. d.

37.

Which could be the solution of the system of equations graphed in this figure?

 a. (4, 3) c. (4, 3) b. (3, 4) d. (3, 4)

38.

Richmond’s Landmark Theater has 3,300 seats. The theater is filled, and there are 150 more men than women in the theater. Which equation could you use to find how many men there are if x is the number of women?
 a. c. b. d.

39.

Which is a direct variation function?
 a. c. b. d.

40.

What is the height of this book in simplified form?

 a. in. c. in. b. in. d. in.

41.

A ski resort made a total profit of \$100,000 during the months of December and January. If the profit in December was 50% more than the profit in January, what was the profit in December?
 a. \$40,000 c. \$66,666.67 b. \$60,000 d. \$33,333.33

42.

Suppose this matrix gives the rental costs of typical apartments in two parts of the United States.

If the rent for these apartments is raised \$25, which matrix represents the new rents?
 a. c. b. d.

43.

Which is an equation of the line that contains the points at (1, 3) and (5, 4)?
 a. c. b. d.

44.

Which is a possible slope for the line shown in this graph?

 a. 1 b. 0 c. d. undefined

45.

What property justifies the statement ?

46.

Which expression gives the perimeter of the triangle shown in this figure?

 a. c. b. d.

47.

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

48.

Which is an equation of the line that contains the point at (6, 10) and has undefined slope?
 a. c. b. d.

49.

The area of Prince William Forest is 18,726 acres, the area of Lake Fairfax Park is 479 acres, and the area of Lake Anna is 2,058 acres. What is the sum of these areas in scientific notation?
 a. c. b. d.

50.

The number of miles Marcus can ride his bike varies directly with the length of time he rides. If he can ride 18 miles in 1.6 hours, which could be the constant of variation?
 a. 1.6 c. 19.6 b. 11.25 d. 28.8

51.

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

52.

What are the solutions of ?
 a. , c. 10, b. , d. 10, 3

53.

The round-trip airfares shown in this matrix were available in October.

If airlines raise their fares 20%, which matrix shows the new fares? Round you answers to the nearest whole numbers.
 a. c. b. d.

For the following questions, use this box-and-whisker plot showing the prices of convertibles and sedans.

54.

Which is true?
 a. The range and the median price are greater for the convertibles. b. The median is greater for convertibles, but the range is smaller. c. the range is greater for convertibles, but the median is smaller. d. the range and the median price are smaller for the convertibles.

55.

What percent of the convertibles cost more than \$32,000?
 a. 25% c. 75% b. 50% d. 100%

56.

What is the domain of ?
 a. b. c. All real numbers d.

57.

Which is an equation for the function that contains the ordered pairs given in this table?

 x y 2 5 4 9 6 13
 a. c. b. d.

For the following questions, suppose this table gives the length x and weight y of five tunas caught off the Barrier Islands.

 Length (inches) Weight (pounds) 50 150 35 56 20 30 70 400 25 28

58.

Which is an equation of the best-fit line? Round the numbers in your equation to two decimal places. Use your graphing calculator.
 a. c. b. d.

59.

If a tuna is 40 inches long what would you expect its weight to be? Round your answer to the nearest whole number of pounds.
 a. 133 lb c. 55 lb b. 96 lb d. 28 lb

60.

If a tuna weighs 300 pounds, how many inches long would you expect it to be? Round your answer to the nearest whole number of inches.
 a. 45 in. c. 63 in. b. 54 in. d. 128 in.