Name: ______________________ Class: _________________ Date: _________ ID: A

1

Solving Linear Equations and Inequalities Review

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

What is the solution of the system? Use a graph.

____ 1. y = –x + 2y = 3x – 1a. c.

b. d.

Name: ______________________ ID: A

2

What is the solution of the system? Use a graph.

____ 2. y = 5x + 4y = 5x – 3

a.

no solutions

c.

infinitely many solutions

b.

(0, 4)

d.

(0, –3)

Name: ______________________ ID: A

3

____ 3. y = –5x – 2y + 2 = –5x

a.

infinitely many solutions

c.

(0, –2)

b.

no solutions

d.

(0, 2)

What is the solution of the system? Use substitution.

____ 4. y = x + 6y = 2xa. (6, 12) b. (–12, –6) c. (–6, –12) d. (2, 4)

____ 5. 3x + 2y = 7y = –3x + 11

a. (6, –3) b. (6, –7) c. −4, 192

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃ d. (5, –4)

Name: ______________________ ID: A

4

How many solutions does the system have?

____ 6. x = −4y + 42x + 8y = 8a. one solution c. infinitely many solutionsb. two solutions d. no solution

What is the solution of the system? Use elimination.

____ 7. 2x – 2y = –8x + 2y = –1a. (–14, 1) b. (1, 5) c. (–3, 1) d. (0, 4)

____ 8. 5x + 4y = –2x – 4y = 14a. (3, –4.3) b. (–3, 2) c. (2, –3) d. (4, 1)

____ 9. −12x − y = 617x + y = 4a. (–30, 2) b. (–2, 30) c. (2, –30) d. (30, –2)

____ 10. Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has.a. 4 five-dollar bills, 10 one-dollar bills c. 5 five-dollar bills, 5 one-dollar bills b. 3 five-dollar bills, 15 one-dollar bills d. 5 five-dollar bills, 9 one-dollar bills

____ 11. The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.80. Today they made $98.80 from the 70 wraps sold. How many of the wraps sold were vegetarian?a. 36 wraps c. 30 wrapsb. 37 wraps d. 34 wraps

What is the solution of the system? Use elimination.

____ 12. 3x – 4y = –24x + y = –1a. (–4, 3) b. (0, 6) c. (3, 4) d. (4, 3)

____ 13. x + 2y = –63x + 8y = –20a. (–1, –4) b. (–4, 4) c. (–4, –1) d. (3, 1)

What is the solution of the system? Use elimination.

____ 14. 5x + 7y = 328x + 6y = 46a. (8, 5) b. (1, 5) c. (7, 0) d. (5, 1)

Name: ______________________ ID: A

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____ 15. 3x + 9y = 33–10x – 6y = –14a. (–4, 5) b. (4, –1) c. (–10, 3) d. (–1, 4)

How many solutions does the system have?

____ 16. x − 2y = 63x − 6y = 18a. one solution c. infinitely many solutionsb. two solutions d. no solution

____ 17. y − 5x = −63y − 15x = −12a. one solution c. infinitely many solutionsb. two solutions d. no solution

Graph the inequality.

____ 18. y < 4x − 2a. c.

b. d.

Name: ______________________ ID: A

6

____ 19. 3x − 7y < −21a. c.

b. d.

Name: ______________________ ID: A

7

What is the graph of the inequality in the coordinate plane?

____ 20. y < −2

a. c.

b. d.

Name: ______________________ ID: A

8

What is the graph of the system?

____ 21. y ≤ x + 42x + y ≤ −4a. c.

b. d.

Name: ______________________ ID: A

9

____ 22. y ≤ −x − 1y ≥ 2x + 4a. c.

b. d.

ID: A

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Solving Linear Equations and Inequalities ReviewAnswer Section

MULTIPLE CHOICE

1. A 2. A 3. A 4. A 5. D 6. C 7. C 8. C 9. C 10. A 11. D 12. A 13. C 14. D 15. D 16. C 17. D 18. C 19. A 20. B 21. A 22. B