Chapter 3 Review
Solve the equation or formula for the indicated variable.
1.
, for t
Solve the inequality. Graph the solution set.
2. 2r – 9  –6
3. 26 + 6b  2(3b + 4)
Solve the inequality. Graph the solution.
4.
Solve the equation.
5.
6. A furniture maker uses the specification
specification as an inequality.
for the width w in inches of a desk drawer. Write the
Graph the linear system and estimate the solution.
7. x + y = 4
3x – y = –8
Solve the system by graphing.
8. x + y = 1
y=
9. Mr. Frankel bought 5 tickets to a puppet show and spent $22. He bought a combination of child tickets for $2 each
and adult tickets for $8 each. Which system of equations below will determine the number of adult tickets, a, and
the number of child tickets, c, he bought?
Solve the linear system.
10.
11.
Without graphing, classify each system as independent, dependent, or inconsistent.
12.
13.
14.
Solve the system by the method of substitution.
15.
16.
Use the elimination method to solve the system. One variable is missing in the answer, but the variable left
should match with your answer for x or y. Pick the best answer.
17.
18.
19.
20.
Graph the inequality.
21. 4x – 2y  –3
22. –3x + y  5
Graph the system of inequalities.
23.
24. x
y
25.
3
4
Chapter 3 Review
Answer Section
1. ANS:
PTS: 1
DIF: L2
REF: 1-3 Solving Equations
OBJ: 1-3.1 Solving Equations
TOP: 1-3 Example 3
KEY: solve an equation | transforming a formula
2. ANS:
1
r1
2
–8 –6 –4 –2
0
2
4
6
8
PTS: 1
DIF: L2
REF: 1-4 Solving Inequalities
OBJ: 1-4.1 Solving and Graphing Inequalities
TOP: 1-4 Example 1
KEY: inequality | graphing
3. ANS:
all real numbers
–8 –6 –4 –2
0
2
4
6
8
PTS: 1
DIF: L2
REF: 1-4 Solving Inequalities
OBJ: 1-4.1 Solving and Graphing Inequalities
TOP: 1-4 Example 2
KEY: inequality | graphing
4. ANS:
–18 < x < 8
–20 –15 –10 –5
0
5
10 15 20
PTS: 1
DIF: L2
REF: 1-5 Absolute Value Equations and Inequalities
OBJ: 1-5.2 Absolute Value Inequalities STA: CA A2 1.0
TOP: 1-5 Example 5
KEY: absolute value | graphing | compound inequality containing AND
5. ANS:
2
x = 0 or x = 2
3
PTS: 1
DIF: L2
OBJ: 1-5.1 Absolute Value Equations
KEY: absolute value
6. ANS:
PTS: 1
DIF: L2
REF: 1-5 Absolute Value Equations and Inequalities
STA: CA A2 1.0
TOP: 1-5 Example 2
REF: 1-5 Absolute Value Equations and Inequalities
OBJ: 1-5.2 Absolute Value Inequalities STA: CA A2 1.0
TOP: 1-5 Example 6
KEY: absolute value | compound inequality | word problem | problem solving
7. ANS:
(–1, 5)
PTS:
NAT:
TOP:
BLM:
8. ANS:
1
DIF: Level A
REF: MAL20327
NCTM 9-12.ALG.2.e | NCTM 9-12.ALG.2.b
Lesson 3.1 Solve Linear Systems by Graphing
KEY: graph | linear system
Comprehension
NOT: 978-0-618-65615-8
PTS: 1
DIF: Level A
REF: MAL20331
TOP: Lesson 3.1 Solve Linear Systems by Graphing
KEY: graph | linear system
BLM: Comprehension
NOT: 978-0-618-65615-8
9. ANS:
PTS: 1
DIF: Level A
REF: MAL20374
TOP: Lesson 3.2 Solve Linear Systems Algebraically
BLM: Application NOT: 978-0-618-65615-8
10. ANS:
(4, –2)
PTS: 1
DIF: Level A
REF: MAL20356
TOP: Lesson 3.2 Solve Linear Systems Algebraically
KEY: linear | solve system | substitution | two variables
NOT: 978-0-618-65615-8
11. ANS:
no solution
PTS: 1
DIF: Level A
REF: MAL20359
KEY: word | system | equations
NAT: NCTM 9-12.ALG.2.b
BLM: Comprehension
NAT: NCTM 9-12.ALG.2.b
TOP: Lesson 3.2 Solve Linear Systems Algebraically
KEY: solve | system | substitute | no solution | two equations
NOT: 978-0-618-65615-8
12. ANS:
independent
BLM: Comprehension
PTS: 1
DIF: L2
REF: 3-1 Graphing Systems of Equations
OBJ: 3-1.1 Systems of Linear Equations STA: CA A2 2.0
TOP: 3-1 Example 3
KEY: system of linear equations | independent system
13. ANS:
dependent
PTS: 1
DIF: L2
REF: 3-1 Graphing Systems of Equations
OBJ: 3-1.1 Systems of Linear Equations STA: CA A2 2.0
TOP: 3-1 Example 3
KEY: system of linear equations | dependent system
14. ANS:
inconsistent
PTS: 1
DIF: L2
REF: 3-1 Graphing Systems of Equations
OBJ: 3-1.1 Systems of Linear Equations STA: CA A2 2.0
TOP: 3-1 Example 3
KEY: system of linear equations | inconsistent system
15. ANS:
(0, –5)
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
OBJ: 3-2.1 Solving Systems by Substitution
STA: CA A2 2.0
TOP: 3-2 Example 1
KEY: system of linear equations | substitution method
16. ANS:
(2, 1, 1)
PTS: 1
DIF: L2
REF: 3-6 Systems With Three Variables
OBJ: 3-6.2 Solving Three-Variable Systems by Substitution
STA: CA A2 2.0
TOP: 3-6 Example 3
KEY: system with three variables | substitution method
17. ANS:
(__, 3)
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
OBJ: 3-2.2 Solving Systems by Elimination
STA: CA A2 2.0
TOP: 3-2 Example 3
KEY: system of linear equations | solve by elimination
18. ANS:
(0, __)
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
OBJ: 3-2.2 Solving Systems by Elimination
STA: CA A2 2.0
TOP: 3-2 Example 4
KEY: system of linear equations | solve by elimination | equivalent systems
19. ANS:
infinite solutions
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
OBJ: 3-2.2 Solving Systems by Elimination
STA: CA A2 2.0
TOP: 3-2 Example 5
KEY: system of linear equations | solve by elimination | infinite solutions
20. ANS:
(1, 3, 1)
PTS: 1
DIF: L2
REF: 3-6 Systems With Three Variables
OBJ: 3-6.1 Solving Three-Variable Systems by Elimination
STA: CA A2 2.0
TOP: 3-6 Example 1
KEY: system with three variables | solve by elimination
21. ANS:
y
4
2
–4
–2 O
–2
2
4
x
–4
PTS: 1
DIF: L2
OBJ: 2-7.1 Graphing Linear Inequalities
KEY: inequality | graphing
22. ANS:
REF: 2-7 Two-Variable Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 1
4 y
2
–4
–2 O
–2
2
x
–4
PTS: 1
DIF: L2
OBJ: 2-7.1 Graphing Linear Inequalities
KEY: inequality | graphing
23. ANS:
PTS: 1
DIF: Level B
REF: 2-7 Two-Variable Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 1
REF: MAL20384
TOP: Lesson 3.3 Graph Systems of Linear Inequalities
KEY: graph | inequality | solve | system
BLM: Comprehension
NOT: 978-0-618-65615-8
24. ANS:
PTS: 1
DIF: Level A
REF: MAL20382
TOP: Lesson 3.3 Graph Systems of Linear Inequalities
KEY: graph | inequality | system
BLM: Comprehension
NOT: 978-0-618-65615-8
25. ANS:
PTS: 1
DIF: Level B
REF: MAL20399
TOP: Lesson 3.3 Graph Systems of Linear Inequalities
KEY: system | linear inequality | graph
BLM: Comprehension
NOT: 978-0-618-65615-8