Algebra 2 1st 9 Weeks Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Insert <, >, or = to make the sentence true.
____
1.
a. >
b. =
c. <
Evaluate the expression for the given value of the variable(s).
____
2.
a. 15
____
c. 7
d.
b. –1
c. 11
d. –17
71
2
; x = –3
3.
a. 3
____
b. 9
4. The expression
models the height of an object t seconds after it has been dropped from a height
of 1100 feet. Find the height of an object after falling for 4.6 seconds.
a. 1026.4 ft
b. 6516.96 ft
c. 761.44 ft
d. 1438.56 ft
Solve the equation or formula for the indicated variable.
____
5.
, for t
a.
b.
c.
d.
Solve the inequality. Graph the solution set.
____
6. –4k + 5  21
a. k  –4
–8 –6 –4 –2
b.
k  6
0
2
4
6
7. 2(2m – 5) – 6  –36
a.
1
m  6
4
–8 –6 –4 –2
8
d.
1
2
–8 –6 –4 –2
____
c. k  –4
0
2
4
6
8
k  6
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
1
2
–8 –6 –4 –2
c. m  –5
–8 –6 –4 –2
–8 –6 –4 –2
0
2
4
6
8
b. m  –5
d.
–8 –6 –4 –2
0
2
4
6
m  6
1
4
8
–8 –6 –4 –2
____
8. 26 + 6b  2(3b + 4)
a. all real numbers
–8 –6 –4 –2
c.
0
2
4
6
b1
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
–8 –6 –4 –2
0
2
4
6
8
–8 –6 –4 –2
0
2
4
6
8
1
2
8
–8 –6 –4 –2
b.
b1
d. no solutions
1
2
–8 –6 –4 –2
–8 –6 –4 –2
0
2
4
6
8
Solve the compound inequality. Graph the solution set.
____
9. 5x + 10  10 and 7x – 7  14
a. x  4 or x  1
–8 –6 –4 –2
0
2
c. x  4 or x  3
4
6
–8 –6 –4 –2
8
b. x  0 and x  1
–8 –6 –4 –2
d. x  0 and x  3
0
2
4
6
–8 –6 –4 –2
8
____ 10.
a.
–8 –6 –4 –2
c.
0
2
4
6
b.
8
d.
–8 –6 –4 –2
0
2
4
6
8
Solve the inequality. Graph the solution.
____ 11.
a.
c.
–40 –30 –20 –10 0 10 20 30 40
b.
0
5 10 15 20
–20 –15 –10 –5
0
5 10 15 20
d.
–20 –15 –10 –5
____ 12.
–20 –15 –10 –5
0
5 10 15 20
a. –18 > x > 8
c. –36 < x < 16
–20 –15 –10 –5
0
–40 –30 –20 –10 0 10 20 30 40
5 10 15 20
b. –18 < x < 8
d.
–20 –15 –10 –5
____ 13. For
a. –19
0
,
–20 –15 –10 –5
5 10 15 20
.
b. 1
c. –21
____ 14. Graph the equation
4
2
2
O
2
4
–4
x
–2
O
–2
–2
–4
–4
d.
y
–2
y
4
b.
–4
d. 21
c.
y
–2
5 10 15 20
.
a.
–4
0
4
2
2
2
4
x
–4
–2
O
–2
–2
–4
–4
____ 15. Graph the equation –3x – y = 6.
4
x
2
4
x
y
4
O
2
a.
c.
y
–12
–8
12
8
8
4
4
–4 O
–4
4
8
–8
–4 O
–4
–8
–12
–12
d.
y
–8
–12
12 x
–8
b.
–12
y
12
12
8
8
4
4
4
8
12 x
8
12 x
4
8
12 x
y
12
–4 O
–4
4
–12
–8
–4 O
–4
–8
–8
–12
–12
Write in standard form an equation of the line passing through the given point with the given slope.
____ 16. slope = –8; (–2, –2)
a. 8x + y = –18
b. –8x + y = –18
Find the slope of the line.
c. 8x – y = –18
d. 8x + y = 18
____ 17.
y
4
2
–4
–2
O
2
4
x
–2
–4
a. undefined
b. 2
c. 1
d. 0
Graph the absolute value equation.
____ 18.
a.
c.
y
y
8
16
4
12
8
–8
–4
O
4
8
x
4
8
x
–4
4
–8
–8
–4
O
4
8
x
–12
–4
b.
d.
y
–8
–4
y
16
16
12
12
8
8
4
4
O
4
8
–8
x
–4
____ 19. What is the vertex of the function
–4
O
–4
?
a.
b.
2
( , –4)
3
c.
2
( , –4)
3
d.
2
( , 4)
3
2
( , 4)
3
Graph the inequality.
____ 20. 4x – 2y  –3
a.
c.
y
6
6
4
4
2
2
–6 –4 –2 O
–2
2
4
6
–6 –4 –2 O
–2
x
–4
–4
–6
–6
b.
d.
y
6
4
4
2
2
2
4
6
x
–6 –4 –2 O
–2
–4
–4
–6
–6
Graph the absolute value inequality.
2
4
6
x
2
4
6
x
y
6
–6 –4 –2 O
–2
____ 21. y  |x + 2| – 2
y
a.
c.
y
–6
–3
6
6
3
3
O
3
6
–3
O
–3
–6
–6
d.
y
–3
–6
x
–3
b.
–6
y
6
3
3
3
6
–6
x
6
x
3
6
x
y
6
O
3
–3
O
–3
–3
–6
–6
Solve the system by graphing.
____ 22.
a.
c.
y
–4
(–1, 3)
–2
y
4
4
2
2
O
2
4
–4
x
–2
O
–2
–2
–4
–4
(1, 3)
2
4
x
b.
d.
y
–4
–2
y
4
4
2
2
O
2
4
–4
x
–2
O
–2
–2
–4
–4
(3, –1)
2
4
x
(3, 1)
Solve the system by the method of substitution.
____ 23.
a. (0, –5)
b. (–5, 0)
c. (5, 1)
d. (1, 5)
Use the elimination method to solve the system.
____ 24.
a. (3, 5)
b. (5, 3)
c. (–3, –5)
d. (–5, –3)
a. (0, –2)
b. (–2, 0)
c. (–2, 2)
d. (2, –2)
a. (1, –3, 1)
b. (1, 3, 1)
c. (–1, 3, 1)
d. (1, 3, –1)
____ 25.
____ 26.
____ 27. Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the
maximum value?
a. maximum value at (5, 4); 32
b. maximum value at (0, 8); 16
c. maximum value at (9, 0); 27
d. maximum value at (0, 0); 0
Algebra 2 1st 9 Weeks Exam Review
Answer Section
MULTIPLE CHOICE
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C
PTS: 1
DIF: L3
REF: 1-1 Properties of Real Numbers
1-1.2 Properties of Real Numbers KEY: compare | absolute value | integers
A
PTS: 1
DIF: L3
REF: 1-2 Algebraic Expressions
1-2.1 Evaluating Algebraic Expressions
TOP: 1-2 Example 1
algebraic expression | order of operations
B
PTS: 1
DIF: L2
REF: 1-2 Algebraic Expressions
1-2.1 Evaluating Algebraic Expressions
TOP: 1-2 Example 2
algebraic expression
C
PTS: 1
DIF: L2
REF: 1-2 Algebraic Expressions
1-2.1 Evaluating Algebraic Expressions
TOP: 1-2 Example 3
algebraic expression | word problem | problem solving
B
PTS: 1
DIF: L2
REF: 1-3 Solving Equations
1-3.1 Solving Equations
STA: MS AII 5b
TOP: 1-3 Example 3
solve an equation | transforming a formula
A
PTS: 1
DIF: L2
REF: 1-4 Solving Inequalities
1-4.1 Solving and Graphing Inequalities
TOP: 1-4 Example 1
inequality | graphing
B
PTS: 1
DIF: L3
REF: 1-4 Solving Inequalities
1-4.1 Solving and Graphing Inequalities
TOP: 1-4 Example 1
inequality | graphing
A
PTS: 1
DIF: L2
REF: 1-4 Solving Inequalities
1-4.1 Solving and Graphing Inequalities
TOP: 1-4 Example 2
inequality | graphing
D
PTS: 1
DIF: L2
REF: 1-4 Solving Inequalities
1-4.2 Compound Inequalities
TOP: 1-4 Example 4
compound inequality containing AND | graphing | compound inequality
B
PTS: 1
DIF: L3
REF: 1-4 Solving Inequalities
1-4.2 Compound Inequalities
TOP: 1-4 Example 4
compound inequality containing AND | compound inequality | graphing
C
PTS: 1
DIF: L2
1-5 Absolute Value Equations and Inequalities
OBJ: 1-5.2 Absolute Value Inequalities
1-5 Example 4
absolute value | graphing | compound inequality containing OR
B
PTS: 1
DIF: L2
1-5 Absolute Value Equations and Inequalities
OBJ: 1-5.2 Absolute Value Inequalities
1-5 Example 5
absolute value | graphing | compound inequality containing AND
A
PTS: 1
DIF: L2
REF: 2-1 Relations and Functions
2-1.2 Identifying Functions
STA: MS AII 4a
TOP: 2-1 Example 6
function notation
C
PTS: 1
DIF: L2
REF: 2-2 Linear Equations
2-2.1 Graphing Linear Equations
TOP: 2-2 Example 1
linear equation | graphing
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26. ANS:
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27. ANS:
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TOP:
C
PTS: 1
DIF: L3
REF: 2-2 Linear Equations
2-2.1 Graphing Linear Equations
TOP: 2-2 Example 1
graphing | linear equation
A
PTS: 1
DIF: L2
REF: 2-2 Linear Equations
2-2.2 Writing Equations of Lines
TOP: 2-2 Example 4
point-slope form | standard form of linear equation
D
PTS: 1
DIF: L2
REF: 2-2 Linear Equations
2-2.2 Writing Equations of Lines
TOP: 2-2 Example 7
slope | equation of a line
B
PTS: 1
DIF: L2
2-5 Absolute Value Functions and Graphs
2-5.1 Graphing Absolute Value Functions
STA: MS AII 4b
2-5 Example 1
KEY: absolute value
B
PTS: 1
DIF: L3
2-5 Absolute Value Functions and Graphs
2-5.1 Graphing Absolute Value Functions
STA: MS AII 4b
2-5 Example 1
KEY: absolute value | vertex
A
PTS: 1
DIF: L2
REF: 2-7 Two-Variable Inequalities
2-7.1 Graphing Linear Inequalities TOP: 2-7 Example 1
inequality | graphing
A
PTS: 1
DIF: L2
REF: 2-7 Two-Variable Inequalities
2-7.2 Graphing Two-Variable Absolute Value Inequalities
2-7 Example 3
KEY: absolute value
D
PTS: 1
DIF: L2
REF: 3-1 Graphing Systems of Equations
3-1.1 Systems of Linear Equations TOP: 3-1 Example 1
system of linear equations | graphing
A
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
3-2.1 Solving Systems by Substitution
STA: MS AII 2b | MS AII 2a
3-2 Example 1
KEY: system of linear equations | substitution method
B
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
3-2.2 Solving Systems by Elimination
STA: MS AII 2b | MS AII 2a
3-2 Example 3
KEY: system of linear equations | solve by elimination
A
PTS: 1
DIF: L2
REF: 3-2 Solving Systems Algebraically
3-2.2 Solving Systems by Elimination
STA: MS AII 2b | MS AII 2a
3-2 Example 4
system of linear equations | solve by elimination | equivalent systems
B
PTS: 1
DIF: L2
REF: 3-6 Systems With Three Variables
3-6.1 Solving Three-Variable Systems by Elimination
TOP: 3-6 Example 1
system with three variables | solve by elimination
C
PTS: 1
DIF: L2
REF: 3-4 Linear Programming
3-4.1 Finding Maximum and Minimum Values
STA: MS AII 2d
3-4 Example 1
KEY: linear programming | maximize | maximum value