Name: ________________________ Class: ___________________ Date: __________ ID: A

9

Chapters 1 and 2 Test

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

Solve the inequality. Graph the solution set.

____ 1. 2r – 9 –6

a. r 112 c. r 11

2

b. r 712 d. r 71

2

____ 2. 26 + 6b 2(3b + 4)

a. all real numbers c. b 112

b. b 112 d. no solutions

Solve the compound inequality. Graph the solution set.

____ 3. 5x + 10 10 and 7x – 7 14a. x 4 or x 1 c. x 4 or x 3

b. x 0 and x 1 d. x 0 and x 3

Name: ________________________ ID: A

2

____ 4. 4x – 5 < –17 or 5x + 6 > 31

a. x < –3 or x > 5 c. x < –3 or x > 725

b. x < 512 or x > 72

5 d. x < 512 or x > 5

Solve the inequality. Graph the solution.

____ 5. 2x 3 19a. x 22 or x 16 c. x 11 or x 8

b. x 8 or x 8 d. x 11 or x 8

____ 6. 2x 10 26a. –18 > x > 8 c. –36 < x < 16

b. –18 < x < 8 d. x 8 or x 8

____ 7. A furniture maker uses the specification 21.88 w 22.12 for the width w in inches of a desk drawer. Write the specification as an inequality.a. w 0.24 22.12 c. w 22 0.24b. w 0.12 22 d. w 22 0.12

Name: ________________________ ID: A

3

____ 8. Write the ordered pairs for the relation. Find the domain and range.

a. {(–2, 5), (–1, 2), (0, 1), (1, 2), (2, 5)}; domain: {–2, –1, 0, 1, 2}; range: {1, 2, 5}b. {(5, –2), (2, –1), (1, 0), (2, 1), (5, 2)}; domain: {–2, –1, 0, 1, 2}; range: {1, 2, 5}c. {(–2, 5), (–1, 2), (0, 1), (1, 2), (2, 5)}; domain: {1, 2, 5}; range: {–2, –1, 0, 1, 2}d. {(5, –2), (2, –1), (1, 0), (2, 1), (5, 2)}; domain: {1, 2, 5}; range: {–2, –1, 0, 1, 2}

Name: ________________________ ID: A

4

____ 9. Graph the equation 6x 6y 30 by finding the intercepts.a. c.

b. d.

Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

____ 10.x y

6 24

18 72

54 216

162 648

a. yes; k = 4; y =4x c. yes; k = 6; y =6xb. yes; k = 3; y =3x d. no

Name: ________________________ ID: A

5

Determine whether y varies directly with x. If so, find the constant of variation k.

____ 11. –6y = –5x

a. yes; 56 b. yes; 6

5 c. yes; –5 d. no

Graph the absolute value equation.

____ 12. y 2x 3a. c.

b. d.

____ 13. Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function.y 2 x and y 2 x 3a. The second function is the graph of y 2 x moved to the right 3 units.b. The second function is the graph of y 2 x moved up 3 units.c. The second function is the graph of y 2 x moved to the left 3 units.d. The second function is the graph of y 2 x moved down 3 units.

Name: ________________________ ID: A

6

____ 14. The equation y x 5 describes a function that is translated from a parent function.a. Write the equation of the parent function. b. Find the number of units and the direction of translation.c. Sketch the graphs of the two functions.

a. y x ; 5 units right; c. y x ; 5 units left;

b. y x ; 5 units right; d. y x ; 5 units left;

Name: ________________________ ID: A

7

Graph the inequality.

____ 15. –3x + y 5a. c.

b. d.

Name: ________________________ ID: A

8

Graph the absolute value inequality.

____ 16. –|x – 1| y – 5a. c.

b. d.

____ 17. What is the vertex of the function y 3x 2 4?

a. ( 23 , –4) b. (2

3 , –4) c. (23 , 4) d. ( 2

3 , 4)

Find an equation for the line:

____ 18. through (2, 6) and perpendicular to y = 54x + 1.

a. y = 54x 7

2 b. y = 45x 38

5 c. y = 45x 22

5 d. y = 54x 17

2____ 19. through (–4, 6) and parallel to y = 3x + 4.

a. y = 3x 6 b. y = 3x 18 c. y = 13x 22

3 d. y = 13x 14

3

Name: ________________________ ID: A

9

Write in standard form an equation of the line passing through the given point with the given slope.

____ 20. slope = –8; (–2, –2)a. 8x + y = –18 b. –8x + y = –18 c. 8x – y = –18 d. 8x + y = 18

Short Answer

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

21.4(3h 6)

1 h; h 2

Simplify by combining like terms.

22. 3( 4y 3) 7y

Solve the equation.

23. 5y 9 (y 1)

24. 3 3x 4 7 5

Solve the equation or formula for the indicated variable.

25. S 5r2 t, for t

Solve for x. State any restrictions on the variables.

26. ax bx 9 7

Solve the equation. Check for extraneous solutions.

27. 4 4 3x 4x 6

28. Suppose f x 4x 2 and g x 2x 1.

Find the value of f 5

g 3.

Name: ________________________ ID: A

10

Find the slope of the line through the pair of points.

29.

30. Find the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).

Find the slope of the line.

31. y 12

x 4

32. x = a

Find an equation for the line:

33. through (–7, –4) and vertical.

Find the value of y for a given value of x, if y varies directly with x.

34. If y = 166 when x = 83, what is y when x = 23?

Name: ________________________ ID: A

11

35. Write an equation for the horizontal translation of y x .

ID: A

1

Chapters 1 and 2 TestAnswer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 DIF: L2 REF: 1-4 Solving InequalitiesOBJ: 1-4.1 Solving and Graphing Inequalities TOP: 1-4 Example 1KEY: inequality | graphing

2. ANS: A PTS: 1 DIF: L2 REF: 1-4 Solving InequalitiesOBJ: 1-4.1 Solving and Graphing Inequalities TOP: 1-4 Example 2KEY: inequality | graphing

3. ANS: D PTS: 1 DIF: L2 REF: 1-4 Solving InequalitiesOBJ: 1-4.2 Compound Inequalities TOP: 1-4 Example 4KEY: compound inequality containing AND | graphing | compound inequality

4. ANS: A PTS: 1 DIF: L2 REF: 1-4 Solving InequalitiesOBJ: 1-4.2 Compound Inequalities TOP: 1-4 Example 5 KEY: compound inequality containing OR | graphing | compound inequality

5. ANS: C PTS: 1 DIF: L2REF: 1-5 Absolute Value Equations and Inequalities OBJ: 1-5.2 Absolute Value InequalitiesTOP: 1-5 Example 4 KEY: absolute value | graphing | compound inequality containing OR

6. ANS: B PTS: 1 DIF: L2REF: 1-5 Absolute Value Equations and Inequalities OBJ: 1-5.2 Absolute Value InequalitiesTOP: 1-5 Example 5 KEY: absolute value | graphing | compound inequality containing AND

7. ANS: D PTS: 1 DIF: L2REF: 1-5 Absolute Value Equations and Inequalities OBJ: 1-5.2 Absolute Value InequalitiesTOP: 1-5 Example 6 KEY: absolute value | compound inequality | word problem | problem solving

8. ANS: A PTS: 1 DIF: L2 REF: 2-1 Relations and FunctionsOBJ: 2-1.1 Graphing Relations TOP: 2-1 Example 2 KEY: ordered pair | domain | range | relation

9. ANS: B PTS: 1 DIF: L2 REF: 2-2 Linear EquationsOBJ: 2-2.1 Graphing Linear Equations TOP: 2-2 Example 2 KEY: linear equation | x-intercept | y-intercept

10. ANS: A PTS: 1 DIF: L2 REF: 2-3 Direct VariationOBJ: 2-3.1 Writing and Interpreting a Direct Variation TOP: 2-3 Example 1KEY: constant of variation | direct variation

11. ANS: A PTS: 1 DIF: L2 REF: 2-3 Direct VariationOBJ: 2-3.1 Writing and Interpreting a Direct Variation TOP: 2-3 Example 2KEY: constant of variation

12. ANS: D PTS: 1 DIF: L2REF: 2-5 Absolute Value Functions and Graphs OBJ: 2-5.1 Graphing Absolute Value Functions TOP: 2-5 Example 1KEY: absolute value

ID: A

2

13. ANS: D PTS: 1 DIF: L2 REF: 2-6 Families of FunctionsOBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 1 KEY: compare | absolute value | vertical translation

14. ANS: D PTS: 1 DIF: L2 REF: 2-6 Families of FunctionsOBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 3 KEY: horizontal translation | multi-part question

15. ANS: B PTS: 1 DIF: L2 REF: 2-7 Two-Variable InequalitiesOBJ: 2-7.1 Graphing Linear Inequalities TOP: 2-7 Example 1 KEY: inequality | graphing

16. ANS: D PTS: 1 DIF: L3 REF: 2-7 Two-Variable InequalitiesOBJ: 2-7.2 Graphing Two-Variable Absolute Value InequalitiesTOP: 2-7 Example 3 KEY: absolute value

17. ANS: B PTS: 1 DIF: L3REF: 2-5 Absolute Value Functions and Graphs OBJ: 2-5.1 Graphing Absolute Value Functions TOP: 2-5 Example 1KEY: absolute value | vertex

18. ANS: C PTS: 1 DIF: L2 REF: 2-2 Linear EquationsOBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 7 KEY: slope | perpendicular | equation of a line

19. ANS: A PTS: 1 DIF: L2 REF: 2-2 Linear EquationsOBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 7 KEY: slope | equation of a line

20. ANS: A PTS: 1 DIF: L2 REF: 2-2 Linear EquationsOBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 4 KEY: point-slope form | standard form of linear equation

SHORT ANSWER

21. ANS:48

PTS: 1 DIF: L3 REF: 1-2 Algebraic ExpressionsOBJ: 1-2.1 Evaluating Algebraic Expressions TOP: 1-2 Example 1KEY: algebraic expression | order of operations

22. ANS:19y 9

PTS: 1 DIF: L3 REF: 1-2 Algebraic ExpressionsOBJ: 1-2.2 Simplifying Algebraic Expressions TOP: 1-2 Example 4KEY: like terms | combine like terms | algebraic expression

ID: A

3

23. ANS:

212

PTS: 1 DIF: L2 REF: 1-3 Solving EquationsOBJ: 1-3.1 Solving Equations TOP: 1-3 Example 2 KEY: solve an equation | Distributive Property

24. ANS:

x = 0 or x = 223

PTS: 1 DIF: L2 REF: 1-5 Absolute Value Equations and InequalitiesOBJ: 1-5.1 Absolute Value Equations TOP: 1-5 Example 2 KEY: absolute value

25. ANS:

t S5r2

PTS: 1 DIF: L2 REF: 1-3 Solving EquationsOBJ: 1-3.1 Solving Equations TOP: 1-3 Example 3 KEY: solve an equation | transforming a formula

26. ANS:

x 2a b ; a b

PTS: 1 DIF: L2 REF: 1-3 Solving EquationsOBJ: 1-3.1 Solving Equations TOP: 1-3 Example 4 KEY: solve an equation | restrictions on a variable

27. ANS:

x58

or x114

PTS: 1 DIF: L3 REF: 1-5 Absolute Value Equations and InequalitiesOBJ: 1-5.1 Absolute Value Equations TOP: 1-5 Example 3 KEY: absolute value | extraneous solutions

28. ANS:

247

PTS: 1 DIF: L3 REF: 2-1 Relations and FunctionsOBJ: 2-1.2 Identifying Functions TOP: 2-1 Example 6 KEY: function notation

ID: A

4

29. ANS:4

PTS: 1 DIF: L2 REF: 2-2 Linear Equations OBJ: 2-2.1 Graphing Linear Equations TOP: 2-2 Example 3 KEY: slope

30. ANS:

y + 4 = 18(x + 6)

PTS: 1 DIF: L2 REF: 2-2 Linear Equations OBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 5 KEY: point-slope form | ordered pair

31. ANS:12

PTS: 1 DIF: L2 REF: 2-2 Linear Equations OBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 6 KEY: slope

32. ANS:undefined

PTS: 1 DIF: L3 REF: 2-2 Linear Equations OBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 7 KEY: vertical line | horizontal line | undefined slope | slope

33. ANS:x = –7

PTS: 1 DIF: L2 REF: 2-2 Linear Equations OBJ: 2-2.2 Writing Equations of Lines TOP: 2-2 Example 7 KEY: vertical line | horizontal line | equation of a line

34. ANS:46

PTS: 1 DIF: L2 REF: 2-3 Direct Variation OBJ: 2-3.1 Writing and Interpreting a Direct Variation TOP: 2-3 Example 4KEY: direct variation

35. ANS:y x 4

PTS: 1 DIF: L2 REF: 2-6 Families of FunctionsOBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 2 KEY: horizontal translation