ALGEBRA 1(A) Final Exam REVIEW

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1 ALGEBRA 1(A) Final Exam REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. Write an algebraic expression for the phrase. 1. times the quantity q minus 3 a. q 3 b. q( 3) c. d. (q 3) 2. Evaluate the expression for a = 4 and b = 3. a. 36 b. 24 c. 81 d You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62 F in degrees Celsius? Round your answer to the nearest tenth. a. 3 C b C c C d. 2.4 C Simplify the expression. 4. a. 585 b. 169 c. 26 d a. 32 b. 16 c. 1 d a. 36 b. 72 c. 72 d

2 a. c. b. d. 8. Which set of numbers is the most reasonable to describe the number of desks in a classroom? a. whole numbers c. rational numbers b. irrational numbers d. integers 9. Order the numbers from least to greatest.,, a.,, c.,, b.,, d.,, 1. a. 2.8 b Which of the scatter plots shows a positive correlation? a. c.

3 b. d. 12. Angela s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests? a. fifth test = 85; sixth test = 89 c. fifth test = 9; sixth test = 86 b. fifth test = 85; sixth test = 81 d. fifth test = 89; sixth test = 85 Find the range a. 9.5 b. 9.5 c. 3.1 d. 3.1 Write a function rule for each table. 14. Hour Worked Pay 2 $15. 4 $3. 6 $45. 8 $6. a. p = 7.5h c. p = h + 15 b. p = 15h d. h = 7.5p 15. Evaluate for x = and y = 3. a. 4 b. 8 c. d. 8

4 16. Evaluate b 2a c for a = 7, b = 3, and c = 7. a. 24 b. 3 c. 1 d Evaluate x( y + z) for x = 3, y = 3, and z = 1. a. 6 b. 1 c. 12 d If a is a negative number, then is equal to 1. a. always b. sometimes c. never 19. For every real number x, y, and z, the statement is true. a. always b. sometimes c. never Name the property the equation illustrates. 2. a. Inverse Property of Multiplication b. Multiplication Property of 1 c. Identity Property of Addition d. Identity Property of Multiplication ( 8.2) = a. Inverse Property of Addition b. Addition Property of c. Identity Property of Addition d. Inverse Property of Multiplication

5 22. a. Associative Property of Addition b. Commutative Property of Multiplication c. Inverse Property of Multiplication d. Commutative Property of Addition Solve the equation. 23. a. 8 b. 16 c. 16 d x + 5 = 8 a. 7 b c. 7 d a. 16 b..16 c. 4 d The perimeter of the rectangle is 24 cm. Find the value of x. 3 cm 3x cm

6 a. 3 b. 12 c. 8 3 d a. Find the value of a. b. Find the value of the marked angles. (4a + 12) (3a + 32) not drawn to scale a. 22; 1º b. 19; 88º c. 2; 92º d. 24; 18º 28. A 16-oz bottle of water costs $1.44. What is the cost per ounce? a. $.9/oz b. $.18/oz c. $.9/oz d. $1.78/oz Solve the proportion. 29. a. 55 b. 2.2 c. 11 d. 1.8 The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

7 3. 11 ft x 8 ft Drawing not to scale 3 ft a. 4.1 ft b. 2.2 ft c..3 ft d. 2.7 ft cm 25 cm x Drawing not to scale 18 cm a cm b cm c cm d. 26 cm 32. A tree casts a shadow 1 ft long. A boy standing next to the tree casts a shadow 2.5 ft. long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft. tall, how tall is the tree? Drawing not to scale

8 a. 18 ft b ft c. 15 ft d. 2 ft 33. The sum of four consecutive odd integers is values of the four integers.. Write an equation to model this situation, and find the a. ; ; ; ; b. ; ; ; ; c. ; ; ; ; d. ; ; ; ; 34. Find the percent of change in altitude if a weather balloon moves from 1 ft to 13 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary. a. 2.6%; increase c. 3%; increase b. 3.4%; decrease d. 3%; decrease 35. Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km. a. minimum area: km 2 maximum area 6.75 km 2 c. minimum area: 1 km 2 maximum area km 2 b. minimum area: 6.75 km 2 d. minimum area: 6.75 km 2 maximum area km 2 maximum area 1 km Is rational or irrational? a. rational b. irrational 37. Between what two consecutive integers is? a. 11 and 12 b. 14 and 15 c. 12 and 13 d. 9 and 1 Find the length of the missing side. If necessary, round to the nearest tenth.

9 38. 5 c 14 a. 361 b. 19 c. 38 d Which number is a solution of the inequality? 39. a b. 5 c d. 6 Write the inequality in words. 4. 5n 1 > 26 a. Five times n less than ten is twenty-six. b. Ten plus five times a number is less than or equal to twenty-six. c. Ten less than five times a number is greater than twenty-six. d. Ten less than a number is less than or equal to twenty-six. 41. x 3 Graph the inequality. a b c

10 d Write an inequality for the graph a. b. x < 8 c. x > 8 d. x < a. m 1 2 b. m > 1 2 c. m 1 2 d. m 1 2 Identify the graph of the inequality from the given description. 44. x is negative. a. c b. d Solve the inequality. Then graph your solution. 45. a. c b. d

11 46. a. h 21 c. h b. h ³ d. h v < 7 15 a. v < c. v < b. v < 1 3 d. v < < 4x 1 < 6 a. 4 < x < 12 c. 16 < x < b. 3 < x < 1 d. 2 < x < Solve the inequality x 7 < 1 2 a. x > 25 b. x < c. x < d. x < 7 1 2

12 5. 5x 7 < 28 a. x > 7 b. x < 7 c. d (b 8) > 12 a. b > 2 b. b > 6 c. b > 14 d. b < 2 Write a compound inequality that the graph could represent a. c. b. d. Write an inequality for the situation. 53. all real numbers y that are less than 4 or greater than 9 a. 4 < y < 9 c. y < 4 or y > 9 b. y < 4 or y ³ 9 d. y < 9 or y > 4 Solve the compound inequality. Graph your solution x 2 < 12 or 2x + 3 > 7 a. x < 5 or x > 2 c. x < 7 or x > b. x < 5 or x > 5 d. x < 12 or x > Which graph is the most appropriate to describe a quantity decreasing at a steady rate?

13 a. c. b. d. 56. The graph below shows how the cost of gasoline changes over one month. According to the graph, the cost of gasoline decreases. Cost Time a. always b. sometimes c. never 57. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

14 a. c. b. The relation is not a function. d. The relation is a function. The relation is a function. The relation is not a function. 58. Evaluate for x = 3. a. 11 b. 1 c. 6 d Graph the function. a. c.

15 b. d. 6. a. c. b. d.

16 61. a. c. b. d. Write a function rule for the table. 62. x f(x) a. b. c. d. Find the constant of variation k for the direct variation.

17 63. x f(x) a. k = 1.5 b. k = 2 c. k =.5 d. k = Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern ,, 1, 6,... a. add 5 to the previous term; 11, 16 b. multiply the previous term by 5; 3, 15 c. subtract 5 from the previous term; 1, d. multiply the previous term by 5; 11, 15 Find the common difference of the arithmetic sequence , 13, 17, 21,... a. 4 b c d. 22 Find the slope of the line that passes through the pair of points. 66. (1, 7), (1, 1) a. 3 2 b. 2 3 c. 3 2 d. 2 3 Find the slope and y-intercept of the line. 67. y = 4 3 x 3

18 a. 3; 4 3 b. 3; 4 3 c. 3 4 ; 3 d. 4 3 ; 3 Write an equation of a line with the given slope and y-intercept. 68. m = 1, b = 4 a. y = 4x + 1 c. y = 1x + 4 b. y = x 4 d. y = x Write the slope-intercept form of the equation for the line. a. y = 1 3 x c. y = 3 1 x b. y = 3 1 x d. y = 1 2 x Use the slope and y-intercept to graph the equation. y = 3 4 x 3

19 a. c. b. d. 71. Write y = 2 x + 7 in standard form using integers. 3 a. x + 3y = 21 c. x 3y = 21 b. 3x 2y = 21 d. x + 3y = 7 Graph the equation. 72. y 3 = (x + 5)

20 a. c. b. d. 73. In February, you have a balance of $15 in your bank account. Each month you deposit $35. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in November. a. y 15 = 35(x 2) ; $42 c. y = 35(x 4); $15 b. y 15 = 35x; $35 d. y = 35(x 4); $ Which graph shows the best trend line for the following data.

21 a. c. b. d. 75. A balloon is released from the top of a building. The graph shows the height of the balloon over time. a. What does the slope and y-intercept reveal about the situation?

22 b. For a similar situation, the slope 25 is and the y-intercept is 75. What can you conclude? a. The balloon starts at a height of, and rises at a rate of 5; The balloon starts at a heigh of 75, and rises at a rate of 25. b. The balloon starts at a height of, and rises at a rate of 5; The balloon starts at a heigh of 25, and rises at a rate of 75. c. The balloon starts at a height of 5, and rises at a rate of ; The balloon starts at a heigh of 75, and rises at a rate of 25. d. The balloon starts at a height of 5, and rises at a rate of ; The balloon starts at a heigh of 25, and rises at a rate of 75.

23 ALGEBRA 1(A) Final Exam REVIEW Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: L3 REF: 2-4 The Distributive Property OBJ: Simplifying Algebraic Expressions NAT: NAEP 25 N3a STA: MI L1.1.3 MI A1.1.1 TOP: 2-4 Example 6 KEY: Distributive Property algebraic expression modeling relationships 2. ANS: D PTS: 1 DIF: L2 REF: 1-2 Exponents and Order of Operations OBJ: Simplifying and Evaluating Expressions With Grouping Symbols NAT: NAEP 25 A3b ADP I.1.3 ADP J.1.6 ADP K.8.2 STA: MI L2.1.2 MI A1.1.1 TOP: 1-2 Example 5 KEY: exponential expression order of operations power 3. ANS: B PTS: 1 DIF: L3 REF: 1-2 Exponents and Order of Operations OBJ: Simplifying and Evaluating Expressions With Grouping Symbols NAT: NAEP 25 A3b ADP I.1.3 ADP J.1.6 ADP K.8.2 STA: MI L2.1.2 MI A1.1.1 TOP: 1-2 Example 7 KEY: order of operations word problem problem solving 4. ANS: B PTS: 1 DIF: L3 REF: 1-2 Exponents and Order of Operations OBJ: Simplifying and Evaluating Expressions With Grouping Symbols NAT: NAEP 25 A3b ADP I.1.3 ADP J.1.6 ADP K.8.2 STA: MI L2.1.2 MI A1.1.1 TOP: 1-2 Example 6 KEY: order of operations exponential expression 5. ANS: A PTS: 1 DIF: L2 REF: 2-3 Multiplying and Dividing Rational Numbers OBJ: Multiplying Rational Numbers NAT: ADP I.1.1 ADP I.1.3 ADP J.1.6 STA: MI L2.1.2 TOP: 2-3 Example 4 KEY: exponential expression real numbers 6. ANS: D PTS: 1 DIF: L3 REF: 2-3 Multiplying and Dividing Rational Numbers OBJ: Dividing Rational Numbers NAT: ADP I.1.1 ADP I.1.3 ADP J.1.6 STA: MI L2.1.2 KEY: real numbers 7. ANS: A PTS: 1 DIF: L3 REF: 2-4 The Distributive Property OBJ: Simplifying Algebraic Expressions NAT: NAEP 25 N3a STA: MI L1.1.3 MI A1.1.1 TOP: 2-4 Example 5 KEY: Distributive Property like terms 8. ANS: A PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers OBJ: Classifying Numbers NAT: NAEP 25 N1d NAEP 25 N1g NAEP 25 N1j ADP I.2.1 ADP I.2.2 ADP I.3 STA: MI L1.1.1 TOP: 1-3 Example 2 KEY: whole numbers 9. ANS: B PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers OBJ: Comparing Numbers NAT: NAEP 25 N1d NAEP 25 N1g NAEP 25 N1j ADP I.2.1 ADP I.2.2 ADP I.3 STA: MI L1.1.1 TOP: 1-3 Example 4 KEY: inequality rational numbers 1. ANS: A PTS: 1 DIF: L2 REF: 1-3 Exploring Real Numbers OBJ: Comparing Numbers NAT: NAEP 25 N1d NAEP 25 N1g NAEP 25 N1j ADP I.2.1 ADP I.2.2 ADP I.3 STA: MI L1.1.1 TOP: 1-3 Example 5 KEY: absolute value 11. ANS: A PTS: 1 DIF: L2 REF: 1-5 Scatter Plots

24 OBJ: Analyzing Data Using Scatter Plots NAT: NAEP 25 D1a NAEP 25 D1b NAEP 25 D2h NAEP 25 A2c ADP L.1.1 ADP L.1.2 ADP L.1.5 ADP L.2.3 STA: MI S2.1.1 MI S2.1.2 TOP: 1-5 Example 2 KEY: correlation trend line scatter plot ordered pair 12. ANS: D PTS: 1 DIF: L3 REF: 1-6 Mean, Median, and Range OBJ: Finding Mean, Median, and Mode NAT: NAEP 25 D1b NAEP 25 D1c NAEP 25 D2a NAEP 25 D2d ADP L.1.1 ADP L.1.2 ADP L.1.3 ADP L.1.4 TOP: 1-6 Example 2 KEY: mean-median-mode measures of central tendency problem solving word problem outlier 13. ANS: D PTS: 1 DIF: L2 REF: 1-6 Mean, Median, and Range OBJ: Finding Mean, Median, and Mode NAT: NAEP 25 D1b NAEP 25 D1c NAEP 25 D2a NAEP 25 D2d ADP L.1.1 ADP L.1.2 ADP L.1.3 ADP L.1.4 TOP: 1-6 Example 3 KEY: range measures of central tendency mean-median-mode decimals 14. ANS: A PTS: 1 DIF: L2 REF: 1-4 Function Patterns OBJ: Writing a Function Rule STA: MI A2.1.3 MI A2.1.1 TOP: 1-4 Example ANS: A PTS: 1 DIF: L3 REF: 2-2 Subtracting Rational Numbers OBJ: Applying Subtraction NAT: NAEP 25 N5e NAEP 25 A4a NAEP 25 A4c ADP I.1.1 ADP I.2.1 ADP J.1.6 STA: MI A1.1.1 KEY: absolute value real numbers 16. ANS: A PTS: 1 DIF: L2 REF: 2-2 Subtracting Rational Numbers OBJ: Applying Subtraction NAT: NAEP 25 N5e NAEP 25 A4a NAEP 25 A4c ADP I.1.1 ADP I.2.1 ADP J.1.6 STA: MI A1.1.1 TOP: 2-2 Example 5 KEY: real numbers algebraic expression 17. ANS: A PTS: 1 DIF: L2 REF: 2-3 Multiplying and Dividing Rational Numbers OBJ: Multiplying Rational Numbers NAT: ADP I.1.1 ADP I.1.3 ADP J.1.6 STA: MI L2.1.2 TOP: 2-3 Example 2 KEY: real numbers algebraic expression 18. ANS: C PTS: 1 DIF: L3 REF: 2-3 Multiplying and Dividing Rational Numbers OBJ: Dividing Rational Numbers NAT: ADP I.1.1 ADP I.1.3 ADP J.1.6 STA: MI L2.1.2 KEY: multiplicative inverse reciprocal Inverse Property of Multiplication real numbers reasoning 19. ANS: A PTS: 1 DIF: L3 REF: 2-4 The Distributive Property OBJ: Using the Distributive Property NAT: NAEP 25 N3a STA: MI L1.1.3 MI A1.1.1 KEY: Distributive Property real numbers reasoning 2. ANS: D PTS: 1 DIF: L2 REF: 2-5 Properties of Real Numbers OBJ: Identifying and Using Properties NAT: NAEP 25 A3b ADP I.1.3 ADP K.1.1 STA: MI L1.1.3 TOP: 2-5 Example 1 KEY: properties of real numbers Identity Property of Multiplication reasoning 21. ANS: A PTS: 1 DIF: L2 REF: 2-5 Properties of Real Numbers OBJ: Identifying and Using Properties NAT: NAEP 25 A3b ADP I.1.3 ADP K.1.1 STA: MI L1.1.3 TOP: 2-5 Example 1 KEY: properties of real numbers additive inverse Inverse Property of Addition reasoning 22. ANS: B PTS: 1 DIF: L2 REF: 2-5 Properties of Real Numbers OBJ: Identifying and Using Properties NAT: NAEP 25 A3b ADP I.1.3 ADP K.1.1 STA: MI L1.1.3 TOP: 2-5 Example 1

25 KEY: properties of real numbers Commutative Property of Multiplication reasoning 23. ANS: A PTS: 1 DIF: L2 REF: 3-1 Solving Two-Step Equations OBJ: Solving Two-Step Equations NAT: NAEP 25 N5e NAEP 25 A2e NAEP 25 A4a NAEP 25 A4c ADP J.3.1 ADP J.5.1 STA: MI A1.2.1 MI A2.1.3 MI A1.2.3 TOP: 3-1 Example 1 KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality solving equations two-step equation 24. ANS: A PTS: 1 DIF: L2 REF: 3-1 Solving Two-Step Equations OBJ: Solving Two-Step Equations NAT: NAEP 25 N5e NAEP 25 A2e NAEP 25 A4a NAEP 25 A4c ADP J.3.1 ADP J.5.1 STA: MI A1.2.1 MI A2.1.3 MI A1.2.3 TOP: 3-1 Example 1 KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality solving equations two-step equation fractions 25. ANS: C PTS: 1 DIF: L3 REF: 3-2 Solving Multi-Step Equations OBJ: Using the Distributive Property to Solve Equations NAT: NAEP 25 A3b NAEP 25 A3c NAEP 25 A4a NAEP 25 A4c ADP J.3.1 ADP J.5.1 STA: MI A1.2.1 MI A1.2.3 KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality solving equations multi-step equation Distributive Property fractions decimals 26. ANS: A PTS: 1 DIF: L3 REF: 3-2 Solving Multi-Step Equations OBJ: Using the Distributive Property to Combine Like Terms NAT: NAEP 25 A3b NAEP 25 A3c NAEP 25 A4a NAEP 25 A4c ADP J.3.1 ADP J.5.1 STA: MI A1.2.1 MI A1.2.3 TOP: 3-2 Example 2 KEY: word problem problem solving solving equations Distributive Property 27. ANS: C PTS: 1 DIF: L3 REF: 3-3 Equations With Variables on Both Sides OBJ: Solving Equations With Variables on Both Sides NAT: NAEP 25 A2e NAEP 25 A4a NAEP 25 A4c ADP I.4.2 ADP J.3.1 ADP J.5.1 ADP K.2.3 STA: MI A1.2.1 MI A1.2.3 TOP: 3-3 Example 1 KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality equations with variables on both sides equivalent equations inverse operations multi-step equation multi-part question 28. ANS: A PTS: 1 DIF: L2 REF: 3-4 Ratio and Proportion OBJ: Ratios and Rates NAT: NAEP 25 N4b NAEP 25 N4c NAEP 25 M2b NAEP 25 A2f ADP I.1.2 ADP J.5.1 ADP K.8.1 STA: MI A1.2.1 TOP: 3-4 Example 1 KEY: ratio rate unit rate 29. ANS: A PTS: 1 DIF: L2 REF: 3-4 Ratio and Proportion OBJ: Solving Proportions NAT: NAEP 25 N4b NAEP 25 N4c NAEP 25 M2b NAEP 25 A2f ADP I.1.2 ADP J.5.1 ADP K.8.1 STA: MI A1.2.1 TOP: 3-4 Example 4 KEY: proportion 3. ANS: A PTS: 1 DIF: L2 REF: 3-5 Proportions and Similar Figures OBJ: Similar Figures NAT: NAEP 25 N4c NAEP 25 M1 NAEP 25 M2f NAEP 25 M2g NAEP 25 G2e ADP I.1.2 ADP J.5.1 ADP K.3 ADP K.7 STA: MI A1.2.1 TOP: 3-5 Example 1 KEY: similar figures proportion 31. ANS: A PTS: 1 DIF: L2 REF: 3-5 Proportions and Similar Figures OBJ: Similar Figures NAT: NAEP 25 N4c NAEP 25 M1 NAEP 25 M2f NAEP 25 M2g NAEP 25 G2e ADP

26 I.1.2 ADP J.5.1 ADP K.3 ADP K.7 STA: MI A1.2.1 TOP: 3-5 Example 1 KEY: similar figures proportion 32. ANS: D PTS: 1 DIF: L2 REF: 3-5 Proportions and Similar Figures OBJ: Indirect Measurement and Scale Drawings NAT: NAEP 25 N4c NAEP 25 M2f NAEP 25 M2g NAEP 25 G2e ADP I.1.2 ADP J.5.1 ADP K.3 ADP K.7 STA: MI A1.2.1 TOP: 3-5 Example 3 KEY: indirect measurement similar figures proportion problem solving word problem 33. ANS: D PTS: 1 DIF: L3 REF: 3-6 Equations and Problem Solving OBJ: Defining Variables NAT: NAEP 25 M1h NAEP 25 A4c ADP J.5.1 STA: MI A1.2.1 TOP: 3-6 Example 2 KEY: Addition and Subtraction Properties of Equality Multiplication and Division Properties of Equality equivalent equations inverse operations multi-step equation problem solving word problem consecutive integers 34. ANS: C PTS: 1 DIF: L2 REF: 3-7 Percent of Change OBJ: Percent of Change NAT: NAEP 25 M2e NAEP 25 N4d ADP I.1.2 ADP J.5.1 ADP K.8.1 ADP K.8.2 TOP: 3-7 Example 1 KEY: percent of change problem solving word problem 35. ANS: B PTS: 1 DIF: L2 REF: 3-7 Percent of Change OBJ: Percent Error NAT: NAEP 25 M2e NAEP 25 N4d ADP I.1.2 ADP J.5.1 ADP K.8.1 ADP K.8.2 TOP: 3-7 Example 4 KEY: percent of change percent error maximum and minimum areas 36. ANS: B PTS: 1 DIF: L2 REF: 3-8 Finding and Estimating Square Roots OBJ: Finding Square Roots NAT: NAEP 25 N1d NAEP 25 N2d ADP I.2.2 ADP I.3 ADP I.4.1 STA: MI L2.1.6 TOP: 3-8 Example 2 KEY: square root rational numbers irrational numbers 37. ANS: C PTS: 1 DIF: L2 REF: 3-8 Finding and Estimating Square Roots OBJ: Estimating and Using Square Roots NAT: NAEP 25 N1d NAEP 25 N2d ADP I.2.2 ADP I.3 ADP I.4.1 STA: MI L2.1.6 TOP: 3-8 Example 3 KEY: estimating square roots 38. ANS: D PTS: 1 DIF: L2 REF: 3-9 The Pythagorean Theorem OBJ: Solving Problems Using the Pythagorean Theorem NAT: NAEP 25 N3g NAEP 25 G3d NAEP 25 G3f ADP I.4.1 ADP K.1.1 ADP K.1.2 ADP K.5 TOP: 3-9 Example 1 KEY: Pythagorean Theorem right triangle 39. ANS: D PTS: 1 DIF: L3 REF: 4-1 Inequalities and Their Graphs OBJ: Identifying Solutions of Inequalities NAT: NAEP 25 A3a ADP J.3.1 TOP: 4-1 Example 2 KEY: solution of the inequality inequality 4. ANS: C PTS: 1 DIF: L3 REF: 4-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable NAT: NAEP 25 A3a ADP J.3.1 KEY: translating an inequality inequality 41. ANS: B PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable NAT: NAEP 25 A3a ADP J.3.1 TOP: 4-1 Example 3 KEY: graphing inequality 42. ANS: C PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable NAT: NAEP 25 A3a ADP J.3.1 TOP: 4-1 Example 4 KEY: writing an inequality from a graph graphing 43. ANS: C PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable NAT: NAEP 25 A3a ADP J.3.1

27 TOP: 4-1 Example 4 KEY: writing an inequality from a graph graphing 44. ANS: A PTS: 1 DIF: L2 REF: 4-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable NAT: NAEP 25 A3a ADP J.3.1 TOP: 4-1 Example 3 KEY: translating an inequality graphing 45. ANS: D PTS: 1 DIF: L2 REF: 4-2 Solving Inequalities Using Addition and Subtraction OBJ: Using Addition to Solve Inequalities NAT: NAEP 25 N5e NAEP 25 A4a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 TOP: 4-2 Example 1 KEY: Addition Property of Inequality solving inequalities graphing 46. ANS: A PTS: 1 DIF: L3 REF: 4-3 Solving Inequalities Using Multiplication and Division OBJ: Using Multiplication to Solve Inequalities NAT: NAEP 25 A4a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 MI L1.1.4 TOP: 4-3 Example 2 KEY: Multiplication Property of Inequality for c < solving inequalities 47. ANS: D PTS: 1 DIF: L3 REF: 4-3 Solving Inequalities Using Multiplication and Division OBJ: Using Multiplication to Solve Inequalities NAT: NAEP 25 A4a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 MI L1.1.4 TOP: 4-3 Example 1 KEY: Multiplication Property of Inequality for c > solving inequalities 48. ANS: D PTS: 1 DIF: L2 REF: 4-5 Compound Inequalities OBJ: Solving Compound Inequalities Containing And NAT: NAEP 25 A3a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 MI A1.2.3 TOP: 4-5 Example 2 KEY: solving a compound inequality containing AND compound inequality 49. ANS: A PTS: 1 DIF: L3 REF: 4-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on One Side NAT: NAEP 25 A3b NAEP 25 A3c NAEP 25 A4a ADP J.3.1 STA: MI A1.2.1 TOP: 4-4 Example 1 KEY: multi-step inequality with variables on one side solving inequalities 5. ANS: A PTS: 1 DIF: L2 REF: 4-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on One Side NAT: NAEP 25 A3b NAEP 25 A3c NAEP 25 A4a ADP J.3.1 STA: MI A1.2.1 TOP: 4-4 Example 1 KEY: modeling with inequalities multi-step inequality with variables on one side solving inequalities 51. ANS: C PTS: 1 DIF: L2 REF: 4-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on One Side NAT: NAEP 25 A3b NAEP 25 A3c NAEP 25 A4a ADP J.3.1 STA: MI A1.2.1 TOP: 4-4 Example 3 KEY: solving inequalities using the Distributive Property like terms solving inequalities 52. ANS: C PTS: 1 DIF: L3 REF: 4-5 Compound Inequalities OBJ: Solving Compound Inequalities Joined by Or NAT: NAEP 25 A3a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 MI A1.2.3 TOP: 4-5 Example 4 KEY: writing a compound inequality compound inequality 53. ANS: C PTS: 1 DIF: L2 REF: 4-5 Compound Inequalities OBJ: Solving Compound Inequalities Joined by Or NAT: NAEP 25 A3a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 MI A1.2.3 TOP: 4-5 Example 4

28 KEY: writing a compound inequality compound inequality translating an inequality 54. ANS: A PTS: 1 DIF: L2 REF: 4-5 Compound Inequalities OBJ: Solving Compound Inequalities Joined by Or NAT: NAEP 25 A3a NAEP 25 A4c ADP J.3.1 STA: MI A1.2.1 MI A1.2.3 TOP: 4-5 Example 5 KEY: solving a compound inequality containing OR graphing compound inequality 55. ANS: C PTS: 1 DIF: L2 REF: 5-1 Relating Graphs to Events OBJ: Interpreting, Sketching, and Analyzing Graphs NAT: NAEP 25 A2a NAEP 25 A2c ADP J.4.8 STA: MI A2.1.3 TOP: 5-1 Example 3 KEY: graphing analyze a graph 56. ANS: B PTS: 1 DIF: L3 REF: 5-1 Relating Graphs to Events OBJ: Interpreting, Sketching, and Analyzing Graphs NAT: NAEP 25 A2a NAEP 25 A2c ADP J.4.8 STA: MI A2.1.3 TOP: 5-1 Example 1 KEY: graphing interpret a graph reasoning 57. ANS: B PTS: 1 DIF: L2 REF: 5-2 Relations and Functions OBJ: Identifying Relations and Functions NAT: NAEP 25 A1g ADP J.2.1 ADP J.2.3 STA: MI A2.1.1 MI A2.1.2 TOP: 5-2 Example 1 KEY: function mapping diagram 58. ANS: A PTS: 1 DIF: L2 REF: 5-2 Relations and Functions OBJ: Evaluating Functions NAT: NAEP 25 A1g ADP J.2.1 ADP J.2.3 STA: MI A2.1.1 MI A2.1.2 TOP: 5-2 Example 4 KEY: function 59. ANS: D PTS: 1 DIF: L2 REF: 5-3 Function Rules, Tables, and Graphs OBJ: Modeling Functions NAT: NAEP 25 A1e NAEP 25 A2a ADP J.2.3 ADP L.1.1 STA: MI A2.1.3 MI L1.2.2 TOP: 5-3 Example 1 KEY: graphing function 6. ANS: A PTS: 1 DIF: L3 REF: 5-3 Function Rules, Tables, and Graphs OBJ: Modeling Functions NAT: NAEP 25 A1e NAEP 25 A2a ADP J.2.3 ADP L.1.1 STA: MI A2.1.3 MI L1.2.2 TOP: 5-3 Example 4 KEY: graphing function absolute value 61. ANS: B PTS: 1 DIF: L3 REF: 5-3 Function Rules, Tables, and Graphs OBJ: Modeling Functions NAT: NAEP 25 A1e NAEP 25 A2a ADP J.2.3 ADP L.1.1 STA: MI A2.1.3 MI L1.2.2 TOP: 5-3 Example 4 KEY: graphing function quadratic function 62. ANS: A PTS: 1 DIF: L2 REF: 5-4 Writing a Function Rule OBJ: Writing Function Rules NAT: NAEP 25 A1e NAEP 25 A3a STA: MI A2.1.3 TOP: 5-4 Example 1 KEY: rule function 63. ANS: D PTS: 1 DIF: L2 REF: 5-5 Direct Variation OBJ: Writing the Equation of a Direct Variation NAT: NAEP 25 A2a NAEP 25 A2b ADP I.1.2 STA: MI A2.4.1 MI A2.4.3 MI A2.4.1 MI A2.4.3 TOP: 5-5 Example 4 KEY: rule function direct and inverse variation 64. ANS: A PTS: 1 DIF: L2 REF: 5-7 Describing Number Patterns OBJ: Inductive Reasoning and Number Patterns NAT: NAEP 25 A1a NAEP 25 A1b STA: MI A2.3.2 TOP: 5-7 Example 1 KEY: inductive reasoning conjecture arithmetic sequence 65. ANS: A PTS: 1 DIF: L2 REF: 5-7 Describing Number Patterns

29 OBJ: Writing Rules for Arithmetic Sequences NAT: NAEP 25 A1a NAEP 25 A1b STA: MI A2.3.2 TOP: 5-7 Example 2 KEY: arithmetic sequence sequence common difference 66. ANS: B PTS: 1 DIF: L2 REF: 6-1 Rate of Change and Slope OBJ: Finding Slope NAT: NAEP 25 A2a NAEP 25 A2b ADP J.4.1 ADP K.1.1 STA: MI A2.1.7 TOP: 6-1 Example 4 KEY: finding slope using points slope 67. ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: Writing Linear Equations NAT: NAEP 25 A1h ADP J.4.1 ADP J.4.2 ADP K.1.2 STA: MI A2.4.1 MI A2.4.2 TOP: 6-2 Example 1 KEY: linear equation y-intercept slope 68. ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: Writing Linear Equations NAT: NAEP 25 A1h ADP J.4.1 ADP J.4.2 ADP K.1.2 STA: MI A2.4.1 MI A2.4.2 TOP: 6-2 Example 2 KEY: linear equation slope y-intercept 69. ANS: C PTS: 1 DIF: L3 REF: 6-2 Slope-Intercept Form OBJ: Writing Linear Equations NAT: NAEP 25 A1h ADP J.4.1 ADP J.4.2 ADP K.1.2 STA: MI A2.4.1 MI A2.4.2 TOP: 6-2 Example 3 KEY: graphing slope y-intercept slope-intercept form finding slope using a graph 7. ANS: D PTS: 1 DIF: L2 REF: 6-2 Slope-Intercept Form OBJ: Graphing Linear Equations NAT: NAEP 25 A1h ADP J.4.1 ADP J.4.2 ADP K.1.2 STA: MI A2.4.1 MI A2.4.2 TOP: 6-2 Example 4 KEY: linear equation graphing equations slope y-intercept 71. ANS: A PTS: 1 DIF: L2 REF: 6-4 Standard Form OBJ: Writing Equations in Standard Form NAT: NAEP 25 A1h ADP J.4.1 ADP J.4.2 ADP K.1.2 STA: MI A2.1.7 MI A2.4.2 MI A2.4.1 MI A2.1.7 TOP: 6-4 Example 4 KEY: standard form of a linear equation transforming equations 72. ANS: A PTS: 1 DIF: L2 REF: 6-5 Point-Slope Form and Writing Linear Equations OBJ: Using Point-Slope Form NAT: NAEP 25 A1h NAEP 25 A1i NAEP 25 A2a NAEP 25 A2b NAEP 25 A3a ADP J.4.1 ADP J.4.2 ADP K.1.1 ADP K.1.2 STA: MI A2.4.2 MI A2.4.1 TOP: 6-5 Example 1 KEY: point-slope form graphing linear equation 73. ANS: A PTS: 1 DIF: L4 REF: 6-5 Point-Slope Form and Writing Linear Equations OBJ: Using Point-Slope Form NAT: NAEP 25 A1h NAEP 25 A1i NAEP 25 A2a NAEP 25 A2b NAEP 25 A3a ADP J.4.1 ADP J.4.2 ADP K.1.1 ADP K.1.2 STA: MI A2.4.2 MI A2.4.1 KEY: point-slope form problem solving word problem 74. ANS: D PTS: 1 DIF: L2 REF: 6-7 Scatter Plots and Equations of Lines OBJ: Writing an Equation for a Trend Line NAT: NAEP 25 D2e NAEP 25 D2g NAEP 25 A2c NAEP 25 A2f ADP I.4.2 ADP J.4.8 ADP K.1.2 ADP L.1.1 ADP L.1.2 ADP L.1.5 ADP L.3.4 STA: MI S2.2.1 MI S2.2.2 TOP: 6-7 Example 1 KEY: scatter plot graphing data analysis trend line 75. ANS: A PTS: 1 DIF: L2 REF: 6-3 Applying Linear Functions OBJ: Interpreting Linear Graphs NAT: NAEP 25 A1h ADP J.4.1 ADP J.4.8 ADP K.1.1 ADP K.1.2 STA: MI A3.1.2 TOP: 6-3 Example 2