Name:    RC2:  Equations and Inequalities - Algebra 1 SOL Simulation 2012

(Questions courtesy of Chesterfield County Public Schools)

Multiple Choice

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

1.

Which most likely represents the graph of 2x - y = 2?
 a. c. b. d. 2.

What is the slope of the line 4x – 8y = 20?
 a. b. c. d. 2

3.

A local kennel has twice as many cats (c) as dogs (d). When full,       the kennel has a total of 30 cats and dogs.  Which system of       equations could be used to find the number of cats in the kennel       when it is full?
 a. c = 2dc + d = 30 b. d = 2cc + d = 30 c. c = d + 2c + d = 30 d. c = d – 2 c + d = 30

4. a. Distributive Property b. Division Property of Inequality c. Multiplication Property of Inequality d. Identity Property of Multiplication

5. Which is the solution to the system of equations shown?
 a. b. c. d. 6. a. y = 3x – 10 b. y = 3x – 2 c. y = 3x + 4 d. y = 3x + 6

7.

What is the solution to the following equation?

6(
x – 3) = 2(13 – x)
 a. x = 1 b. x = c. x = d. x = 11

8.

What are the solutions of the equation ?
 a. b. c. d. 9. a. b. c. d. 10.

Describe the type of solution for the linear system of equations       defined by a. no solution b. infinite solutions c. one solution d. two solutions

11.

If , which of the following equations is solved for a?
 a. b. c. d. 12.

A section of a hiking trail begins at the coordinates (-7, 5) and follows a straight path that ends at the coordinates (3, 9).  What is the rate of change of the hiking trail?
 a. b. c. d. 13.

Samantha wrote these steps when solving an equation.
step 1      3 + 2(
x + 5) = x +18
step 2      3 + 2
x + 10 = x +18
step 3      2
x + 3 + 10 = x +18
step 4      2
x + 13 = x +18
step 5      2
x = x + 5
step 6      1
x = 5
step 7
x = 5

Which property justifies the work shown between step 6 and       step 7?
 a. Multiplication Property b. Inverse Property of Multiplication c. Distributive Property d. Identity Property of Multiplication

14.

What values of x makes the inequality true? a. b. c. d. 15.

What are the roots of the equation ?
 a. {-2, 3} b. {-3, 2} c. {-6, 1} d. {-3, -2}

16.

What is the solution of the equation ?
 a. x = -8 b. x = -3 c. x = 5 d. x = 8

17.

The total cost (c) in dollars of renting a sailboat for n days is       given by the inequality .  What is the maximum       number of days for which a sailboat could be rented if the total       cost was \$360?
 a. 2 b. 4 c. 6 d. 8

18.

A line passes through the point (-3, 2) and has a slope of .       Which of the following points also lies on this line?
 a. (-2, 5) b. (5, 6) c. (-9, 1) d. (6, 5)