Name: ________________________ Class: ___________________ Date: __________
ID: A
Chapter 6 Review: 6.5 & 6.6 Inequalities & Systems of Inequalities Quiz + Review 6.1-6.4
Systems of Linear Equations
Multiple Choice
Identify the choice that best completes the statement or answers the question.
How many solutions does the system have?
____
1. y = −2x + 4
y + 2x = −2
a. one solution b. two solutions c. infinitely many solutions d. no solution
____
2. y = 3x − 2
2y − 6x = 12
a. one solution b. two solutions c. infinitely many solutions d. no solution
What is the graph of the inequality in the coordinate plane?
____
3. x ≥ −4
a.
b.
c.
d.
1
Name: ________________________
____
ID: A
4. x ≥ 4
a.
b.
c.
d.
Which ordered pair is a solution of the inequality?
____
5. y ≥ 4x − 5
a. (3, 4) b. (2, 1) c. (3, 0) d. (1, 1)
____
6. y + < 3x
a. (–4, 14) b. (–1, –4) c. (–1, –12) d. (–5, 15)
____
7. 2y + 4 < 4x
a. (2, 9) b. (–3, 6) c. (0, –2) d. (0, –8)
Short Answer
What is the solution of the system? Solve by any method you wish.
8. –4x + 3y = –12
–2x + 3y = –18
2
Name: ________________________
ID: A
What is the solution of the system? Solve by graphing.
9. y = 3x + 2
y – 2 = 3x
10. y = 4x – 5
y + 5 = 4x
What is the solution of the system? Use substitution.
11. 3x + 2y = 7
y = –3x + 11
What is the solution of the system? Use elimination.
12. 5x + 5y = 10
x – 5y = –28
13. x + 4y = 8
2x – 4y = –20
What is the solution of the system? Solve by any method you wish.
14. 3x – 4y = –24
x + y = –1
15. You decide to market your own custom computer software. You must invest $3255 for computer hardware,
and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you
sell to break even?
16. At the local ballpark, the team charges $5 for each ticket and expects to make $1,300 in concessions. The
team must pay its players $1,500 and pay all other workers $1,200. Each fan gets a free bat that costs the
team $3 per bat. How many tickets must be sold to break even?
17. At the local ballpark, the team charges $4 for each ticket and expects to make $1,100 in concessions. The
team must pay its players $700 and pay all other workers $1,800. Each fan gets a free bat that costs the team
$3 per bat. How many tickets must be sold to break even?
Graph the inequality.
18. y < 5x − 4
19. y < 2x − 1
20. y < 2x − 3
21. y < 4x − 3
3
Name: ________________________
ID: A
22. An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The
manager’s target is to make at least $360 a day on sales from televisions and computers. Write a linear
inequality and graph the solutions. What are three possible solutions to the problem?
Which inequality represents the graph?
23.
24.
4
Name: ________________________
ID: A
25.
What is the graph of the system?
26. y ≤ x + 4
2x + y ≤ −4
27. y ≤ −x − 1
y ≥ 2x + 4
28. y ≤ −x − 1
y ≥ 2x + 4
2
29. Is the ordered pair a solution of y > x + 3?
5
(–5, 8)
30. Is the ordered pair a solution of y >
6
x + 2?
13
(–2, 5)
1
31. Is the ordered pair a solution of y > x + 7?
3
(–2, –8)
5
ID: A
Chapter 6 Review: 6.5 & 6.6 Inequalities & Systems of Inequalities Quiz + Review 6.1-6.4
Systems of Linear Equations
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
D
D
A
C
D
C
D
SHORT ANSWER
8.
9.
infinitely many solutions
1
ID: A
10.
11.
12.
13.
14.
15.
16.
17.
18.
infinitely many solutions
(5, –4)
(–3, 5)
(–4, 3)
(–4, 3)
300 copies
700 tickets
1400 tickets
2
ID: A
19.
20.
21.
3
ID: A
22. 72s + 90p ≥ 360
(5, 2), (3, 3), and (1, 4) are three possible solutions.
23. y ≤ −2x + 1
24. y ≤ −x + 5
25. y ≤ −5x + 5
26.
4
ID: A
27.
28.
2
29. Yes, (–5) + 3 < 8.
5
6
30. Yes, (–2) + 2 < 5.
13
1
31. No, (–2) + 7 > –8.
3
5
Name: ________________________ Class: ___________________ Date: __________
ID: B
Chapter 6 Review: 6.5 & 6.6 Inequalities & Systems of Inequalities Quiz + Review 6.1-6.4
Systems of Linear Equations
Multiple Choice
Identify the choice that best completes the statement or answers the question.
How many solutions does the system have?
____
1. y = −4x + 3
5y + 20x = −30
a. one solution b. two solutions c. infinitely many solutions d. no solution
____
2. y = 4x − 2
−2y + 8x = 8
a. one solution b. two solutions c. infinitely many solutions d. no solution
What is the graph of the inequality in the coordinate plane?
____
3. x ≥ 4
a.
b.
c.
d.
1
Name: ________________________
____
ID: B
4. x ≥ 3
a.
b.
c.
d.
Which ordered pair is a solution of the inequality?
____
5. y ≥ 4x − 5
a. (1, 1) b. (3, 4) c. (2, 1) d. (3, 0)
____
6. 2y + 6 < 8x
a. (5, 17) b. (5, –4) c. (–5, 13) d. (0, 10)
____
7. 3y − 6 < 12x
a. (–5, 15) b. (–1, –2) c. (–4, –10) d. (–1, –11)
Short Answer
What is the solution of the system? Solve by any method you wish.
8. –4x + 3y = –12
–2x + 3y = –18
2
Name: ________________________
ID: B
What is the solution of the system? Solve by graphing.
9. y = 3x + 2
y – 2 = 3x
10. y = –4x + 4
y – 4 = –4x
What is the solution of the system? Use substitution.
11. 3x + 2y = 7
y = –3x + 11
What is the solution of the system? Use elimination.
12. 2x + 5y = 13
4x – 5y = 11
13. 3x + 4y = –17
5x – 4y = –7
What is the solution of the system? Solve by any method you wish.
14. 3x – 4y = –24
x + y = –1
15. You decide to market your own custom computer software. You must invest $3255 for computer hardware,
and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you
sell to break even?
16. At the local ballpark, the team charges $4 for each ticket and expects to make $1,400 in concessions. The
team must pay its players $2,200 and pay all other workers $1,300. Each fan gets a free bat that costs the
team $2 per bat. How many tickets must be sold to break even?
17. At the local ballpark, the team charges $5 for each ticket and expects to make $1,200 in concessions. The
team must pay its players $600 and pay all other workers $1,600. Each fan gets a free bat that costs the team
$3 per bat. How many tickets must be sold to break even?
Graph the inequality.
18. y < 2x − 4
19. y < 4x − 2
20. y < 3x − 2
21. y < 5x − 1
3
Name: ________________________
ID: B
22. An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The
manager’s target is to make at least $360 a day on sales from televisions and computers. Write a linear
inequality and graph the solutions. What are three possible solutions to the problem?
Which inequality represents the graph?
23.
24.
4
Name: ________________________
ID: B
25.
What is the graph of the system?
26. y ≤ x + 4
2x + y ≤ −4
27. y ≤ −x − 1
y ≥ 2x + 4
28. y ≤ −x − 1
y ≥ 2x + 4
1
29. Is the ordered pair a solution of y > x + 1?
3
(5, 5)
2
30. Is the ordered pair a solution of y > x + 8?
3
(0, –9)
1
31. Is the ordered pair a solution of y > x + 2?
3
(–5, 6)
5
ID: B
Chapter 6 Review: 6.5 & 6.6 Inequalities & Systems of Inequalities Quiz + Review 6.1-6.4
Systems of Linear Equations
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
D
D
D
C
A
B
D
SHORT ANSWER
8.
9.
infinitely many solutions
1
ID: B
10.
11.
12.
13.
14.
15.
16.
17.
18.
infinitely many solutions
(5, –4)
(4, 1)
(–3, –2)
(–4, 3)
300 copies
1050 tickets
500 tickets
2
ID: B
19.
20.
21.
3
ID: B
22. 72s + 90p ≥ 360
(5, 2), (3, 3), and (1, 4) are three possible solutions.
23. y ≤ −5x + 3
24. y ≤ −x + 1
25. y ≤ −3x + 1
26.
4
ID: B
27.
28.
1
29. Yes, (5) + 1 < 5.
3
2
30. No, (0) + 8 > –9.
3
1
31. Yes, (–5) + 2 < 6.
3
5
Name: ________________________ Class: ___________________ Date: __________
ID: C
Chapter 6 Review: 6.5 & 6.6 Inequalities & Systems of Inequalities Quiz + Review 6.1-6.4
Systems of Linear Equations
Multiple Choice
Identify the choice that best completes the statement or answers the question.
How many solutions does the system have?
____
1. y = 3x + 4
−4y + 12x = 12
a. one solution b. two solutions c. infinitely many solutions d. no solution
____
2. y = −5x + 4
3y + 15x = 6
a. one solution b. two solutions c. infinitely many solutions d. no solution
What is the graph of the inequality in the coordinate plane?
____
3. x ≥ 2
a.
b.
c.
d.
1
Name: ________________________
____
ID: C
4. x ≥ 1
a.
b.
c.
d.
Which ordered pair is a solution of the inequality?
____
5. y ≥ 4x − 5
a. (3, 0) b. (2, 1) c. (3, 4) d. (1, 1)
____
6. 3y + 12 < 3x
a. (5, 7) b. (–4, –8) c. (–1, 1) d. (–4, –14)
____
7. 3y − 9 < 12x
a. (–1, –1) b. (–4, 2) c. (–1, –8) d. (–3, 14)
Short Answer
What is the solution of the system? Solve by any method you wish.
8. –4x + 3y = –12
–2x + 3y = –18
2
Name: ________________________
ID: C
What is the solution of the system? Solve by graphing.
9. y = –x + 3
y – 3 = –x
10. y = –x + 3
y – 3 = –x
What is the solution of the system? Use substitution.
11. 3x + 2y = 7
y = –3x + 11
What is the solution of the system? Use elimination.
12. 5x + 3y = 25
2x – 3y = –11
13. 2x + y = 7
x–y=8
What is the solution of the system? Solve by any method you wish.
14. 3x – 4y = –24
x + y = –1
15. You decide to market your own custom computer software. You must invest $3255 for computer hardware,
and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you
sell to break even?
16. At the local ballpark, the team charges $5 for each ticket and expects to make $1,100 in concessions. The
team must pay its players $800 and pay all other workers $1,200. Each fan gets a free bat that costs the team
$1 per bat. How many tickets must be sold to break even?
17. At the local ballpark, the team charges $5 for each ticket and expects to make $1,100 in concessions. The
team must pay its players $1,700 and pay all other workers $1,500. Each fan gets a free bat that costs the
team $1 per bat. How many tickets must be sold to break even?
Graph the inequality.
18. y < 3x − 4
19. y < 5x − 1
20. y < 2x − 4
21. y < 4x − 5
3
Name: ________________________
ID: C
22. An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The
manager’s target is to make at least $360 a day on sales from televisions and computers. Write a linear
inequality and graph the solutions. What are three possible solutions to the problem?
Which inequality represents the graph?
23.
24.
4
Name: ________________________
ID: C
25.
What is the graph of the system?
26. y ≤ x + 4
2x + y ≤ −4
27. y ≤ −x − 1
y ≥ 2x + 4
28. y ≤ −x − 1
y ≥ 2x + 4
1
29. Is the ordered pair a solution of y > x + 6?
2
(–7, –3)
30. Is the ordered pair a solution of y >
8
x + 6?
15
(1, 3)
1
31. Is the ordered pair a solution of y > x + 3?
9
(7, 9)
5
ID: C
Chapter 6 Review: 6.5 & 6.6 Inequalities & Systems of Inequalities Quiz + Review 6.1-6.4
Systems of Linear Equations
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
D
D
C
A
D
D
C
SHORT ANSWER
8.
9.
infinitely many solutions
1
ID: C
10.
11.
12.
13.
14.
15.
16.
17.
18.
infinitely many solutions
(5, –4)
(2, 5)
(5, –3)
(–4, 3)
300 copies
225 tickets
525 tickets
2
ID: C
19.
20.
21.
3
ID: C
22. 72s + 90p ≥ 360
(5, 2), (3, 3), and (1, 4) are three possible solutions.
23. y ≤ −3x + 2
24. y ≤ −3x + 3
25. y ≤ −5x + 1
26.
4
ID: C
27.
28.
1
29. No, (–7) + 6 > –3.
2
8
30. No, (1) + 6 > 3.
15
1
31. Yes, (7) + 3 < 9.
9
5