Chapter 2 Review

Chapter 2 Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ____ ____

1. The opposite of a negative number is ____ negative. a. always b. sometimes 2. Draw a number line model that will show –5 + 6? a. –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0

c. never +6

1

2

3

4

5

6

7

8

9 10 11

1

2

3

4

5

6

7

8

9 10 11

–5 + 6 = 11 b.

+6 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0

____ ____ ____

–5 + 6 = 1 3. The product of two negative numbers is ____ positive. a. always b. sometimes c. never 4. For every real number x, y, and z, the statement is ____ true. a. always b. sometimes c. never 5. Suppose A and B are 2 × 5 matrices. Which of the following are the dimensions of the matrix A + B? a. 2 × 5 b. 10 × 10 c. 7 × 1 d. 7 × 7

Short Answer 6.

Find the dimensions of the matrix.

Identify the given matrix element. 7.

Find the sum or difference.

8.

9. Use matrices A, B, and C. Find the sum or difference if you can.

10.

B+A

11. Find the values of the variables.

12.

13. Find the product.

14. 15.

Find

16.

For

.

Simplify the expression. 17.

1 18. 19. 20.

2 (–12m + 38)

, find –2A – B + C.

21. 22.

Simplify each element in the matrix.

23.

Evaluate

24.

−

for x = –2 and y = 3.

1 5

−

5

Write 6 , 3 , 6 in order from least to greatest.

25. 26. A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber. 27.

Evaluate –x + 2.7 for x = 0.9.

28. The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit. 29.

Simplify 9 – 10 using a number line.

30.

Evaluate b – 2a – c for a = –7, b = 3, and c = –7.

31.

Evaluate x(–y + z) for x = 3, y = 3, and z = 1.

32.

–12 ÷ (–2)

33.

Evaluate

34.

Simplify 7(499) using the Distributive Property.

35.

–10z – 28z

for a = −6 and b = −2.

36. In a sample of 138 teenagers, 38 have never been to a live concert. Find the sample proportion for those who have never been to a live concert. 37. Label each section of the spinner so the spinner has the probability distribution: P(red) = 0.5, P(green) = 0.125, P(blue) = 0.25, P(yellow) = 0.125.

38. The circle graph shows the probability distribution for how often people went to the grocery store last week. a. Draw a bar graph of the distribution. b. Find P(visited the grocery store at least once).

1 trip, 41% no trips, 8% 3+ trips, 13% 2 trips, 38%

Essay 39. The following tables show car and SUV sales for a dealership in 1990 and 2000. The months shown represent the end of each quarter.

March

December

SUVs

60

33

26

77

Cars

128

201

179

114

March

a. b. c.

Sales in 1990 June September

SUVs

110

Cars

122

Sales in 2000 June September 66 188

80 176

Organize the information into two 2 x 4 matrices, A (1990) and B (2000). Calculate the matrix that shows the change in sales from 1990 to 2000. For which type of vehicle did sales increase? Explain.

December 118 99

Chapter 2 Review Answer Section MULTIPLE CHOICE 1. ANS: C DIF: L2 REF: 1-3 Exploring Real Numbers OBJ: 1-3.2 Comparing Numbers KEY: opposites,reasoning MSC: NAEP N1d, NAEP N1g, NAEP N1j, CAT5.LV19.51, IT.LV15.CP, IT.LV15.PS, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LVALG.53 2. ANS: B DIF: L1 REF: 1-4 Adding Real Numbers OBJ: 1-4.1 Adding Real Numbers STO: AR LA.1.A1.1, AR LA.1.A1.2, AR DIP.5.A1.2, AR DIP.5.A1.3 TOP: 1-4 Example 1 KEY: real numbers, number line MSC: NAEP N3a, NAEP N3g, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S9.TSK1.PRA, S10.TSK1.NS, S10.TSK1.PRA, TV.LV19.10, TV.LV19.15, TV.LV19.49, TV.LVALG.53 3. ANS: A DIF: L2 REF: 1-6 Multiplying and Dividing Real Numbers OBJ: 1-6.1 Multiplying Real Numbers STO: AR LA.1.A1.1, AR LA.1.A1.3 KEY: real numbers,reasoning MSC: NAEP N3a, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.PRA, S10.TSK1.PRA, TV.LV19.10, TV.LV19.49, TV.LVALG.53 4. ANS: A DIF: L2 REF: 1-7 The Distributive Property OBJ: 1-7.1 Using the Distributive Property STO: AR LA.1.A1.2 KEY: Distributive Property, real numbers,reasoning MSC: NAEP A3b, CAT5.LV19.51, CAT5.LV19.54, IT.LV15.CP, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.11, TV.LV19.16, TV.LVALG.53, TV.LV19.52 5. ANS: A DIF: L2 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.1 Adding and Subtracting Matrices STO: AR LEI.2.AII.6 KEY: matrix addition,matrix MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 SHORT ANSWER 6. ANS: 4× 4 DIF: L1 REF: 4-1 Organizing Data Into Matrices OBJ: 4-1.1 Identifying Matrices STO: AR LEI.2.AII.6 TOP: 4-1 Example 1 KEY: matrix,dimensions of a matrix MSC: NAEP N4d, CAT5.LV21/22.45, CAT5.LV21/22.53, IT.LV17/18.DI, IT.LV17/18.DP, S9.TSK3.DSP, S9.TSK3.NS, S10.TSK3.DSP, S10.TSK3.NS, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.18, TV.LVALG.53 7. ANS: –5 DIF: L1 REF: 4-1 Organizing Data Into Matrices OBJ: 4-1.1 Identifying Matrices STO: AR LEI.2.AII.6 TOP: 4-1 Example 2 KEY: matrix,matrix element MSC: NAEP N4d, CAT5.LV21/22.45, CAT5.LV21/22.53, IT.LV17/18.DI, IT.LV17/18.DP, S9.TSK3.DSP, S9.TSK3.NS, S10.TSK3.DSP, S10.TSK3.NS, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.18, TV.LVALG.53 8. ANS:

DIF: L1 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.1 Adding and Subtracting Matrices STO: AR LEI.2.AII.6 TOP: 4-2 Example 3 KEY: matrix subtraction,matrix MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 9. ANS:

DIF: L1 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.1 Adding and Subtracting Matrices STO: AR LEI.2.AII.6 TOP: 4-2 Example 2 KEY: matrix addition,matrix MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 10. ANS: not possible DIF: L2 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.1 Adding and Subtracting Matrices STO: AR LEI.2.AII.6 TOP: 4-2 Example 1 KEY: matrix addition, dimensions of a matrix,matrix subtraction MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 11. ANS:

DIF: L1 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.1 Adding and Subtracting Matrices STO: AR LEI.2.AII.6 TOP: 4-2 Example 1 KEY: matrix subtraction,dimensions of a matrix,matrix addition MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 12. ANS: x = –1, y = 3 DIF: L1 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.2 Solving Matrix Equations STO: AR LEI.2.AII.6 TOP: 4-2 Example 6 KEY: matrix,matrix equation,matrix element MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 13. ANS: f = 4, k = 4, w = 11 or –11

DIF: L3 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.2 Solving Matrix Equations STO: AR LEI.2.AII.6 TOP: 4-2 Example 6 KEY: matrix,matrix equation,matrix element MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54 14. ANS:

DIF: L1 REF: 4-3 Matrix Multiplication OBJ: 4-3.1 Multiplying a Matrix by a Scalar STO: AR LEI.2.AII.6 TOP: 4-3 Example 1 KEY: scalar,scalar multiplication,matrix MSC: NAEP N3a, CAT5.LV21/22.51, CAT5.LV21/22.53, CAT5.LV21/22.54, IT.LV17/18.AM, IT.LV17/18.CP, IT.LV17/18.DI, S9.TSK3.DSP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.DSP, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53 15. ANS:

DIF: L1 REF: 4-3 Matrix Multiplication OBJ: 4-3.1 Multiplying a Matrix by a Scalar STO: AR LEI.2.AII.6 TOP: 4-3 Example 2 KEY: scalar multiplication,matrix subtraction,matrix MSC: NAEP N3a, CAT5.LV21/22.51, CAT5.LV21/22.53, CAT5.LV21/22.54, IT.LV17/18.AM, IT.LV17/18.CP, IT.LV17/18.DI, S9.TSK3.DSP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.DSP, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53 16. ANS:

DIF: TOP: KEY: MSC: 17. 12

L3 REF: 0-43 Matrices OBJ: Matrices Technology 1-6: Matrices matrix,matrix addition,matrix subtraction,scalar multiplication CAT5.LV19.53, TV.LV19.15 ANS:

DIF: L1 REF: 1-5 Subtracting Real Numbers OBJ: 1-5.2 Applying Subtraction STO: AR LA.1.A1.1 TOP: 1-5 Example 4 KEY: absolute value, real numbers MSC: CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LV19.49, TV.LVALG.53 18. ANS: −6m + 19 DIF: L1

REF: 1-7 The Distributive Property

OBJ: 1-7.2 Simplifying Algebraic Expressions STO: AR LA.1.A1.2 TOP: 1-7 Example 3 KEY: Distributive Property, rational numbers, real numbers MSC: NAEP A3b, CAT5.LV19.51, CAT5.LV19.54, IT.LV15.CP, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.11, TV.LV19.16, TV.LVALG.53, TV.LV19.52 19. ANS: DIF: L2 REF: 1-7 The Distributive Property OBJ: 1-7.2 Simplifying Algebraic Expressions STO: AR LA.1.A1.2 TOP: 1-7 Example 5 KEY: Distributive Property, like terms MSC: NAEP A3b, CAT5.LV19.51, CAT5.LV19.54, IT.LV15.CP, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.11, TV.LV19.16, TV.LVALG.53, TV.LV19.52 20. ANS: 169 DIF: L2 REF: 1-2 Exponents and Order of Operations OBJ: 1-2.2 Simplifying and Evaluating Expressions With Grouping Symbols STO: AR LA.1.A1.1, AR LA.1.A1.3 TOP: 1-2 Example 6 KEY: order of operations, exponential expression MSC: NAEP A3b, CAT5.LV19.49, CAT5.LV19.50, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S9.TSK1.PRA, S9.TSK1.GM, S10.TSK1.NS, S10.TSK1.PRA, S10.TSK1.GM, TV.LV19.51, TV.LV19.52, TV.LVALG.53 21. ANS: –2n + 9mn – 17np DIF: L3 REF: 1-7 The Distributive Property OBJ: 1-7.2 Simplifying Algebraic Expressions STO: AR LA.1.A1.2 TOP: 1-7 Example 3 KEY: Distributive Property, real numbers MSC: NAEP A3b, CAT5.LV19.51, CAT5.LV19.54, IT.LV15.CP, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.11, TV.LV19.16, TV.LVALG.53, TV.LV19.52 22. ANS:

DIF: L3 REF: 1-4 Adding Real Numbers OBJ: 1-4.2 Applying Addition STO: AR LA.1.A1.1, AR LA.1.A1.2, AR DIP.5.A1.2, AR DIP.5.A1.3 TOP: 1-4 Example 6 KEY: matrix, order of operations MSC: NAEP N3a, NAEP N3g, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S9.TSK1.PRA, S10.TSK1.NS, S10.TSK1.PRA, TV.LV19.10, TV.LV19.15, TV.LV19.49, TV.LVALG.53 23. ANS: 4 DIF: L2 REF: 1-5 Subtracting Real Numbers OBJ: 1-5.2 Applying Subtraction STO: AR LA.1.A1.1 KEY: absolute value, real numbers MSC: CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LV19.49, TV.LVALG.53 24. ANS: 5 1 5 − − 6, 6, 3 DIF: L1 REF: 1-3 Exploring Real Numbers OBJ: 1-3.2 Comparing Numbers TOP: 1-3 Example 4 KEY: rational numbers, real numbers, comparing numbers MSC: NAEP N1d, NAEP N1g, NAEP N1j, CAT5.LV19.51, IT.LV15.CP, IT.LV15.PS, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LVALG.53

25. 2.8

ANS:

DIF: L1 REF: 1-3 Exploring Real Numbers OBJ: 1-3.2 Comparing Numbers TOP: 1-3 Example 5 KEY: absolute value MSC: NAEP N1d, NAEP N1g, NAEP N1j, CAT5.LV19.51, IT.LV15.CP, IT.LV15.PS, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LVALG.53 26. ANS: 12,540 ft DIF: L1 REF: 1-4 Adding Real Numbers OBJ: 1-4.1 Adding Real Numbers STO: AR LA.1.A1.1, AR LA.1.A1.2, AR DIP.5.A1.2, AR DIP.5.A1.3 TOP: 1-4 Example 3 KEY: additive inverse, real numbers,word problem,problem solving MSC: NAEP N3a, NAEP N3g, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S9.TSK1.PRA, S10.TSK1.NS, S10.TSK1.PRA, TV.LV19.10, TV.LV19.15, TV.LV19.49, TV.LVALG.53 27. ANS: 1.8 DIF: L1 REF: 1-4 Adding Real Numbers OBJ: 1-4.2 Applying Addition STO: AR LA.1.A1.1, AR LA.1.A1.2, AR DIP.5.A1.2, AR DIP.5.A1.3 TOP: 1-4 Example 4 KEY: real numbers, algebraic expression MSC: NAEP N3a, NAEP N3g, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S9.TSK1.PRA, S10.TSK1.NS, S10.TSK1.PRA, TV.LV19.10, TV.LV19.15, TV.LV19.49, TV.LVALG.53 28. ANS: 85 + c; 85 + (–11) = 74 DIF: L2 REF: 1-4 Adding Real Numbers OBJ: 1-4.2 Applying Addition STO: AR LA.1.A1.1, AR LA.1.A1.2, AR DIP.5.A1.2, AR DIP.5.A1.3 TOP: 1-4 Example 5 KEY: algebraic expression,integers,word problem,problem solving,multi-part question MSC: NAEP N3a, NAEP N3g, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S9.TSK1.PRA, S10.TSK1.NS, S10.TSK1.PRA, TV.LV19.10, TV.LV19.15, TV.LV19.49, TV.LVALG.53 29. ANS: –10 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0

1

2

3

4

5

6

7

8

9 10 11

DIF: L1 REF: 1-5 Subtracting Real Numbers OBJ: 1-5.1 Subtracting Real Numbers STO: AR LA.1.A1.1 TOP: 1-5 Example 1 KEY: real numbers, number line MSC: CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LV19.49, TV.LVALG.53 30. ANS: 24 DIF: L1 REF: 1-5 Subtracting Real Numbers OBJ: 1-5.2 Applying Subtraction STO: AR LA.1.A1.1 TOP: 1-5 Example 5 KEY: real numbers, algebraic expression MSC: CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.10, TV.LV19.49, TV.LVALG.53 31. ANS: –6 DIF: L1

REF: 1-6 Multiplying and Dividing Real Numbers

OBJ: 1-6.1 Multiplying Real Numbers STO: AR LA.1.A1.1, AR LA.1.A1.3 TOP: 1-6 Example 2 KEY: real numbers, algebraic expression MSC: NAEP N3a, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.PRA, S10.TSK1.PRA, TV.LV19.10, TV.LV19.49, TV.LVALG.53 32. ANS: 6 DIF: L1 REF: 1-6 Multiplying and Dividing Real Numbers OBJ: 1-6.2 Dividing Real Numbers STO: AR LA.1.A1.1, AR LA.1.A1.3 TOP: 1-6 Example 5 KEY: real numbers MSC: NAEP N3a, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.PRA, S10.TSK1.PRA, TV.LV19.10, TV.LV19.49, TV.LVALG.53 33. ANS: 3 DIF: L2 REF: 1-6 Multiplying and Dividing Real Numbers OBJ: 1-6.2 Dividing Real Numbers STO: AR LA.1.A1.1, AR LA.1.A1.3 TOP: 1-6 Example 7 KEY: algebraic expression, multiplicative inverse, reciprocal MSC: NAEP N3a, CAT5.LV19.47, IT.LV15.PS, IT.LV15.I, S9.TSK1.PRA, S10.TSK1.PRA, TV.LV19.10, TV.LV19.49, TV.LVALG.53 34. ANS: 3493 DIF: L1 REF: 1-7 The Distributive Property OBJ: 1-7.1 Using the Distributive Property STO: AR LA.1.A1.2 TOP: 1-7 Example 1 KEY: Distributive Property, real numbers MSC: NAEP A3b, CAT5.LV19.51, CAT5.LV19.54, IT.LV15.CP, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.11, TV.LV19.16, TV.LVALG.53, TV.LV19.52 35. ANS: –38z DIF: L1 REF: 1-7 The Distributive Property OBJ: 1-7.2 Simplifying Algebraic Expressions STO: AR LA.1.A1.2 TOP: 1-7 Example 5 KEY: Distributive Property, like terms MSC: NAEP A3b, CAT5.LV19.51, CAT5.LV19.54, IT.LV15.CP, IT.LV15.AM, S9.TSK1.NS, S10.TSK1.NS, TV.LV19.11, TV.LV19.16, TV.LVALG.53, TV.LV19.52 36. ANS: 28% DIF: L1 REF: 12-5 Working With Samples OBJ: 12-5.1 Sampling Without Bias TOP: 12-5 Example 1 KEY: sample proportion,sample MSC: NAEP D3c, CAT5.LV21/22.48, CAT5.LV21/22.53, IT.LV17/18.DI, IT.LV17/18.DP, S9.TSK3.DSP, S9.TSK3.NS, S10.TSK3.DSP, S10.TSK3.NS, TV.LV21/22.15, TV.LV21/22.50, TV.LVALG.53 37. ANS: Answers may vary. Sample:

G

R

Y

R

B

R B

R

DIF: L2 REF: 12-1 Probability Distributions OBJ: 12-1.1 Making a Probability Distribution STO: AR DAP.6.AII.2 TOP: 12-1 Example 3 KEY: probability distribution MSC: CAT5.LV21/22.45, CAT5.LV21/22.46, CAT5.LV21/22.51, CAT5.LV21/22.53, IT.LV17/18.CP, IT.LV17/18.DI, IT.LV17/18.DP, IT.LV17/18.FR, S9.TSK3.DSP, S9.TSK3.NS, S10.TSK3.DSP, S10.TSK3.NS, TV.LV21/22.11, TV.LV21/22.12, TV.LV21/22.15, TV.LV21/22.47, TV.LVALG.53, TV.LVALG.56 38. ANS: 50 Trips to the Grocery 45 40 35 30 25 20 15 10 5

% of Respondents

0

1

2

3+

Trips

a. b. 92% DIF: L3 REF: 12-1 Probability Distributions OBJ: 12-1.2 Using a Probability Distribution STO: AR DAP.6.AII.2 KEY: probability distribution,cumulative probability,graphing,multi-part question MSC: CAT5.LV21/22.45, CAT5.LV21/22.46, CAT5.LV21/22.51, CAT5.LV21/22.53, IT.LV17/18.CP, IT.LV17/18.DI, IT.LV17/18.DP, IT.LV17/18.FR, S9.TSK3.DSP, S9.TSK3.NS, S10.TSK3.DSP, S10.TSK3.NS, TV.LV21/22.11, TV.LV21/22.12, TV.LV21/22.15, TV.LV21/22.47, TV.LVALG.53, TV.LVALG.56 ESSAY 39.

ANS:

[4]

a. ,

b.

c. [3] [2] [1]

SUVs; the row representing the changes in SUV sales are all positive numbers, whereas those for car sales are all negative. only three of four answers (three matrices, one explanation) correct only two of four answers correct only one of four answer correct

DIF: L2 REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.1 Adding and Subtracting Matrices STO: AR LEI.2.AII.6 TOP: 4-2 Example 1 KEY: matrix subtraction,extended response,rubric-based question,word problem,problem solving MSC: NAEP N3a, NAEP A4a, CAT5.LV21/22.50, CAT5.LV21/22.51, IT.LV17/18.AM, IT.LV17/18.CP, S9.TSK3.NS, S9.TSK3.PRA, S10.TSK3.NS, S10.TSK3.PRA, TV.LV21/22.10, TV.LV21/22.12, TV.LV21/22.16, TV.LV21/22.52, TV.LVALG.53, TV.LVALG.54