Algebra 2 1st 9 Weeks Exam Review



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. [pic][pic][pic]

|a. |> |b. |= |c. |< |

Evaluate the expression for the given value of the variable(s).

____ 2. [pic]

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

____ 3. [pic]; x = –3

|a. |3 |b. |–1 |c. |11 |d. |–17 |

____ 4. The expression [pic] 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. [pic], for t

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

Solve the inequality. Graph the solution set.

____ 6. –4k + 5 ≤ 21

|a. |k ≥ –4 |c. |k ≤ –4 |

| |[pic] | |[pic] |

|b. |k ≥ [pic] |d. |k ≤ [pic] |

| |[pic] | |[pic] |

____ 7. 2(2m – 5) – 6 > –36

|a. |m < [pic] |c. |m < –5 |

| |[pic] | |[pic] |

|b. |m > –5 |d. |m > [pic] |

| |[pic] | |[pic] |

____ 8. 26 + 6b ≥ 2(3b + 4)

|a. |all real numbers |c. |b ≥ [pic] |

| |[pic] | |[pic] |

|b. |b ≤ [pic] |d. |no solutions |

| |[pic] | |[pic] |

Solve the compound inequality. Graph the solution set.

____ 9. 5x + 10 ≥ 10 and 7x – 7 ≤ 14

|a. |x ≥ [pic] or x ≤ [pic] |c. |x ≥ [pic] or x ≤ 3 |

| |[pic] | |[pic] |

|b. |x ≥ 0 and x ≤ [pic] |d. |x ≥ 0 and x ≤ 3 |

| |[pic] | |[pic] |

____ 10. [pic]

|a. |[pic][pic] |c. |[pic] |

| | | |[pic] |

|b. |[pic] |d. |[pic] |

| |[pic] | |[pic] |

Solve the inequality. Graph the solution.

____ 11. [pic]

|a. |[pic] |c. |[pic] |

| |[pic] | |[pic] |

|b. |[pic] |d. |[pic] |

| |[pic] | |[pic] |

____ 12. [pic]

|a. |–18 > x > 8 |c. |–36 < x < 16 |

| |[pic] | |[pic] |

|b. |–18 < x < 8 |d. |[pic] |

| |[pic] | |[pic] |

____ 13. For [pic], [pic].

|a. |–19 |b. |1 |c. |–21 |d. |21 |

____ 14. Graph the equation [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 15. Graph the equation –3x – y = 6.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

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 |c. |8x – y = –18 |d. |8x + y = 18 |

Find the slope of the line.

____ 17. [pic]

|a. |undefined |b. |2 |c. |1 |d. |0 |

Graph the absolute value equation.

____ 18. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 19. What is the vertex of the function [pic]?

|a. |([pic], –4) |b. |([pic], –4) |c. |([pic], 4) |d. |([pic], 4) |

Graph the inequality.

____ 20. 4x – 2y < –3

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

Graph the absolute value inequality.

____ 21. y < |x + 2| – 2

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

Solve the system by graphing.

____ 22. [pic]

|a. |[pic] |c. |[pic] |

| |(–1, 3) | |(1, 3) |

|b. |[pic] |d. |[pic] |

| |(3, –1) | |(3, 1) |

Solve the system by the method of substitution.

____ 23. [pic]

|a. |(0, –5) |b. |(–5, 0) |c. |(5, 1) |d. |(1, 5) |

Use the elimination method to solve the system.

____ 24. [pic]

|a. |(3, 5) |b. |(5, 3) |c. |(–3, –5) |d. |(–5, –3) |

____ 25. [pic]

|a. |(0, –2) |b. |(–2, 0) |c. |(–2, 2) |d. |(2, –2) |

____ 26. [pic]

|a. |(1, –3, 1) |b. |(1, 3, 1) |c. |(–1, 3, 1) |d. |(1, 3, –1) |

____ 27. Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?

[pic]

|a. |maximum value at (5, 4); 32 |c. |maximum value at (9, 0); 27 |

|b. |maximum value at (0, 8); 16 |d. |maximum value at (0, 0); 0 |

Algebra 2 1st 9 Weeks Exam Review

Answer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 DIF: L3 REF: 1-1 Properties of Real Numbers

OBJ: 1-1.2 Properties of Real Numbers KEY: compare | absolute value | integers

2. ANS: A PTS: 1 DIF: L3 REF: 1-2 Algebraic Expressions

OBJ: 1-2.1 Evaluating Algebraic Expressions TOP: 1-2 Example 1

KEY: algebraic expression | order of operations

3. ANS: B PTS: 1 DIF: L2 REF: 1-2 Algebraic Expressions

OBJ: 1-2.1 Evaluating Algebraic Expressions TOP: 1-2 Example 2

KEY: algebraic expression

4. ANS: C PTS: 1 DIF: L2 REF: 1-2 Algebraic Expressions

OBJ: 1-2.1 Evaluating Algebraic Expressions TOP: 1-2 Example 3

KEY: algebraic expression | word problem | problem solving

5. ANS: B PTS: 1 DIF: L2 REF: 1-3 Solving Equations

OBJ: 1-3.1 Solving Equations STA: MS AII 5b TOP: 1-3 Example 3

KEY: solve an equation | transforming a formula

6. ANS: A 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

7. ANS: B PTS: 1 DIF: L3 REF: 1-4 Solving Inequalities

OBJ: 1-4.1 Solving and Graphing Inequalities TOP: 1-4 Example 1

KEY: inequality | graphing

8. ANS: A 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

9. ANS: D PTS: 1 DIF: L2 REF: 1-4 Solving Inequalities

OBJ: 1-4.2 Compound Inequalities TOP: 1-4 Example 4

KEY: compound inequality containing AND | graphing | compound inequality

10. ANS: B PTS: 1 DIF: L3 REF: 1-4 Solving Inequalities

OBJ: 1-4.2 Compound Inequalities TOP: 1-4 Example 4

KEY: compound inequality containing AND | compound inequality | graphing

11. ANS: C PTS: 1 DIF: L2

REF: 1-5 Absolute Value Equations and Inequalities OBJ: 1-5.2 Absolute Value Inequalities

TOP: 1-5 Example 4

KEY: absolute value | graphing | compound inequality containing OR

12. ANS: B PTS: 1 DIF: L2

REF: 1-5 Absolute Value Equations and Inequalities OBJ: 1-5.2 Absolute Value Inequalities

TOP: 1-5 Example 5

KEY: absolute value | graphing | compound inequality containing AND

13. ANS: A PTS: 1 DIF: L2 REF: 2-1 Relations and Functions

OBJ: 2-1.2 Identifying Functions STA: MS AII 4a TOP: 2-1 Example 6

KEY: function notation

14. ANS: C PTS: 1 DIF: L2 REF: 2-2 Linear Equations

OBJ: 2-2.1 Graphing Linear Equations TOP: 2-2 Example 1

KEY: linear equation | graphing

15. ANS: C PTS: 1 DIF: L3 REF: 2-2 Linear Equations

OBJ: 2-2.1 Graphing Linear Equations TOP: 2-2 Example 1

KEY: graphing | linear equation

16. ANS: A PTS: 1 DIF: L2 REF: 2-2 Linear Equations

OBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 4

KEY: point-slope form | standard form of linear equation

17. ANS: D PTS: 1 DIF: L2 REF: 2-2 Linear Equations

OBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 7

KEY: slope | equation of a line

18. ANS: B PTS: 1 DIF: L2

REF: 2-5 Absolute Value Functions and Graphs

OBJ: 2-5.1 Graphing Absolute Value Functions STA: MS AII 4b

TOP: 2-5 Example 1 KEY: absolute value

19. ANS: B PTS: 1 DIF: L3

REF: 2-5 Absolute Value Functions and Graphs

OBJ: 2-5.1 Graphing Absolute Value Functions STA: MS AII 4b

TOP: 2-5 Example 1 KEY: absolute value | vertex

20. ANS: A PTS: 1 DIF: L2 REF: 2-7 Two-Variable Inequalities

OBJ: 2-7.1 Graphing Linear Inequalities TOP: 2-7 Example 1

KEY: inequality | graphing

21. ANS: A PTS: 1 DIF: L2 REF: 2-7 Two-Variable Inequalities

OBJ: 2-7.2 Graphing Two-Variable Absolute Value Inequalities

TOP: 2-7 Example 3 KEY: absolute value

22. ANS: D PTS: 1 DIF: L2 REF: 3-1 Graphing Systems of Equations

OBJ: 3-1.1 Systems of Linear Equations TOP: 3-1 Example 1

KEY: system of linear equations | graphing

23. ANS: A PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically

OBJ: 3-2.1 Solving Systems by Substitution STA: MS AII 2b | MS AII 2a

TOP: 3-2 Example 1 KEY: system of linear equations | substitution method

24. ANS: B PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically

OBJ: 3-2.2 Solving Systems by Elimination STA: MS AII 2b | MS AII 2a

TOP: 3-2 Example 3 KEY: system of linear equations | solve by elimination

25. ANS: A PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically

OBJ: 3-2.2 Solving Systems by Elimination STA: MS AII 2b | MS AII 2a

TOP: 3-2 Example 4

KEY: system of linear equations | solve by elimination | equivalent systems

26. ANS: B PTS: 1 DIF: L2 REF: 3-6 Systems With Three Variables

OBJ: 3-6.1 Solving Three-Variable Systems by Elimination TOP: 3-6 Example 1

KEY: system with three variables | solve by elimination

27. ANS: C PTS: 1 DIF: L2 REF: 3-4 Linear Programming

OBJ: 3-4.1 Finding Maximum and Minimum Values STA: MS AII 2d

TOP: 3-4 Example 1 KEY: linear programming | maximize | maximum value

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