Name:    Algebra 1 SOL A.9

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

For the following questions, Helen and Althea went shopping for towels to take to college. Helen bought 4 bath towels and 3 hand towels for \$72 while Althea bought 3 bath towels and 6 hand towels of the same kind for \$84.

1.

Which system of equations could you use to find the cost of 1 bath towel where x is the cost of 1 bath towel and y the cost of 1 hand towel?
 a. c. b. d.

2.

How much did 1 bath towel cost?
 a. \$8 b. \$10 c. \$12 d. \$15

3.

Which graph shows the solution of and ?
 a. c. b. d.

4.

Which system of equations is shown?

 a. c. b. d.

5.

The sum of the ages of Gunston Hall Plantation x and Arlington House y in 2003 was 449 years. If Gunston Hall Plantation is 47 years older than Arlington House, which system of equations could be used to solve for the ages of these two buildings?
 a. c. b. d.

6.

What is the solution of the system shown in this graph?

 a. (4, 0) b. (0, 0) c. There is no solution. d. There is an infinite number of solutions.

For the following questions, the sum of the elevations of Front Royal and Hot Springs is 2,760 feet. The sum of the smaller elevation and 3 times the higher elevation if 7,150.

7.

What are the elevations?
 a. Both are 1,380 ft. b. 565 ft and 2,195 ft c. 920 ft and 1,840 ft d. 565 ft and 6,585 ft

8.

Which system of equations represents this problem, where x is the smaller elevation?
 a. c. b. d.

For the following questions, Amelia had a total of 1,260 marbles and table tennis balls. She had 40 fewer marbles than table tennis balls.

9.

How many table tennis balls did she have?
 a. 570 b. 610 c. 630 d. 650

10.

Which system of equations could be used to solve this problem, where x represents the number of marbles and y the number of table tennis balls?
 a. c. b. d.

For the following questions, Mark is doing a chemistry lab experiment in class at Virginia Military Institute. He needs to obtain 1 liter of a 30 percent acid solution by mixing a 20 percent solution with a 60 percent solution.

11.

Which system of equations could be used to find the amount of each type of solution that Mark should use, where x represents the amount of 20 percent acid solution and y the amount of 60 percent acid solution?
 a. c. b. d.

12.

How many liters of 20 percent acid solution should Mark use?
 a. 0.2 L b. 0.25 L c. 0.5 L d. 0.75 L

13.

Which is the solution of this system of equations?
4()
 a. (7, 8) b. (7, 6) c. There is no solution. d. There is an infinite number of solutions.