Unit 2b

Reasoning with Linear Systems of Equations and Inequalities

1.

A. Function1

B. Function 2

C. The functions have the same rate of change.

D. The functions do not have a rate of change.

2.

Two sisters are saving money for summer vacation. Above represents the growth of each sister's savings account. At 10 weeks, whose account will have more money?

A. Lily's account

B. Jennifer's account

C. Both accounts will have the same amount

D. Cannot be determined

3. Which of the following coordinates is part of the solution set of the system of inequalities graphed?

A. (1,3)

B. (0,-2)

C. (3,2)

D. (-1,-3)

4.

5. A printing company will charge $6 plus $0.07 per page. Another company will charge $24 plus $0.04 per page for the same project.

For how many pages will the costs be the same regardless of which company is used?

A. 330

B. 400

C. 600

D. 1000

6. Which BEST describes the system? -3x + y = 12 y = 3x - 2

A. The system cannot be solved

B. One solution so the lines intersect

C. Two solutions so the lines are the same

D. No solution so the lines are parallel

7. Which of the following would be the most appropriate first step if you wanted to solve this system of equations using elimination?

2x + y = 11 x + 3y = -18

A. Multiply the first equation by -1

B. Multiply the second equation by -2

C. Multiply the first equation by -2

D. Multiply the second equation by -1

8. What is the solution to the linear system?

y = -x + 7 -2x + 2y = 6

A. (-2, 9)

B. (2, 5)

C. (2, 9)

D. No solution

9.

A. You will take the Atlanta Taxi Inc. cab when you are going less than 3 miles because it will be faster.

B. You will take the Atlanta Taxi Inc.cab when you are going more than 3 miles because it will cost less.

C. You will take the Atlanta Taxi Inc. cab when you are going less than 3 miles because it will cost less.

D. You will take the Atlanta Taxi Inc. cab when you are going more than 3 miles because it will be faster.

10. You are taking a test worth 100 points. There are a total of 32 questions consisting of five-point questions and two-point questions. How many five-point questions are on the test?

A. 10

B. 12

C. 15

D. 20

11. What is the x-coordinate at the point of intersection for f (x) and g (x)?

f (x) = 3x + 50

g (x) = 2x - 18

A. x = -68

B. x = -35

C. x = 3

D. x = 32

12.

A. x = -2

B. x = 3

C. x = 5

D. x = 7

13.