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Ludus For Mathematics – Classroom 2 Mathematics Ver 2010DEC30 Needed: pencil, paper, & calculator Barnacle Bill Originator Prepared for Learners in Adams County School District 50 to achieve proficient or advanced on all assessments related to Mathematics topics contained herein. Use Permissions Contact: [email protected] Not for sale or publishing. Classroom use only. Barnacle Bill Synthesizer Level Topics Level 7 – Prime & Composite Factors Level 8 – Geometric & Numeric Patterns Level 9 – Fractions & Decimals on the Number line Level 10 – Order of Operations (PEMA) Level 11 – Central Tendency & Variability Level 12 – Multistep Equations Level 13 – Matrix Multiplication Level 14 – Radical & Rational Exponent Equations Grab Bag – ACT Math Questions Mathematics Levels 7 Directions: Click on the yellow numbered buttons to select a question. They are active. 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 Level 7 Question 1 _____ are the numbers that are multiplied to get a product. a. Factors b. Prime numbers c. Composite numbers Answer Level 7 Answer 1 a. Factors Category 4Return Level 8 Question 2 Complete the pattern. Answer Level 8 Answer 2 Category 4Return Level 9 Question 3 3/8 5/6 ¼ ½ ¾ Place the fractions above on a number line in sequence. Answer Level 9 Answer 3 0 ¼ 3/8 ½ ¾ 5/6 1 Category 4Return Level 10 Question 4 Evaluate the expression. 12 ÷ 4 + 2 Answer Level 10 Answer 4 Evaluate the expression. Hint: PEMA 12 ÷ 4 + 2 (12 ÷ 4) + 2 = 3 + 2 = 5 Category 4Return Level 11 Question 5 Measures of central tendency are numbers that describe a set of data. The most common measures are _____. a. mean b. median c. mode d. range e. interquartile range f. outliers g. upper and lower quartiles Answer Level 11 Answer 5 Measures of central tendency are numbers that describe a set of data. The most common measures are _____. a. mean, b. median, and c. mode Category 4Return Level 12 Question 6 Solve the equation and check your solution. Hint: The addition property of equality and then the division property of equality. 2n – 6 = 4 Answer Level 12 Answer 6 Hint: The addition property of equality and then the division property of equality. 2n – 6 = 4 2n – 6 + 6 = 4 + 6 2n = 10 2n/2 =10/2 n = 5 2(5) – 6 = 10-6 = 4 Category 4Return Level 13 Question 7 A rectangular arrow of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets is called a(n) _____. a. element b. dimension c. array d. matrix Answer Level 13 Answer 7 d. matrix Category 4Return Level 14 Question 8 Solve: √(x + 1) + 7 = 10 Answer Level 14 Answer 8 Solve: √(x + 1) + 7 = 10 √(x + 1) + 7 - 7 = 10 – 7 subtraction √(x + 1) = 3 (√(x + 1))2 = 32 Square sides x + 1 = 9 X + 1 – 1 = 9 -1 subtraction x = 8 Category 4Return Grab Bag Question 9 Which of the following statements about the subsets of real number is false? a. Every whole number is an integer. b. Some rational numbers are integers. c. 0 is a nonnegative real number. d. 3.14 is an irrational number. e. Some integers are negative. Answer Grab Bag Answer 9 d. 3.14 is an irrational number. Category 4Return Grab Bag Question 10 What is the solution set for 3 – (x -5) = 2x –(4 – x)? f. {-3/2} g. {3/10} h. {10/3} j. 0 k. {5} Answer Grab Bag Answer 10 h. {10/3} Category 4Return Level 7 Question 11 _____ is a whole number that has only 2 factors. a. Prime number b. Composite number c. Imaginary number Answer Level 7 Answer 11 a. Prime Number Category Return Level 8 Question 12 Complete the pattern. Answer Level 8 Answer 12 Category Return Level 9 Question 13 3/5 5/6 ¼ 1/5 ¾ Place the fractions above on a number line in sequence. Answer Level 9 Answer 13 1/5 0 ¼ 3/5 5/6 ¾ 1 Category Return Level 10 Question 14 Evaluate the expression. Hint: PEMA 42 – 2 . 5 + (8-2) Answer Level 10 Answer 14 Evaluate the expression. 42 – 2 . 5 + (8-2) 42 – 2 . 5 + 6 16 – 2 . 5 + 6 16 – 10 + 6 0 Category Return Level 11 Question 15 Determine the median of the following set of numbers: 18 18 22 24 24 32 Answer Level 11 Answer 15 The median is the middle number of the data ordered from least to greatest, or the mean of the middle two numbers 18 18 22 24 24 32 (22 + 24)/2 = 23 Category Return Level 12 Question 16 Solve the equation and check your solution. Hint: The multiplication property of equality and then the subtraction property of equality, then… r + 1 = 8 3 Answer Level 12 Answer 16 Hint: The multiplication property of equality and then the subtraction property of equality, then... r + 1 = 8 3 3(r + 1) = 8 x 3 3 r + 1 = 24 r + r = 23 r + 1 = 23 3 1 – 1 = 24 – 1 check + 1 = 8 3 Category Return Level 13 Question 17 A value in a matrix is called a(n) a. array b. element c. dimension d. equality Answer Level 13 Answer 17 elements elements Category Return Level 14 Question 18 Solve: √(x + 2) = x - 4 Answer Level 14 Answer 18 Solve: √(x + 2) = x – 4 (√(x + 2))2 = (x- 4)2 x + 2 = x2 – 8x + 16 0 = x2 – 7x + 14 0 = (x-7)(x-2) x – 7 = 0 or x – 2 = 0 x = 7 x = 2 Category Return Grab Bag Question 19 42 a. b. c. d. e. – 3 – 5 192 -7 -43 -33 -35 . 8 – 2[(-3) – (-7)] = ? Answer Grab Bag Answer 19 e. -35 Category Return Grab Bag Question 20 What is the value of i f. 1 g. i h. -1 j. -i k. 0 53? Answer Grab Bag Answer 20 g. i Category Return Level 7 Question 21 Tell whether each number is prime, composite, or neither. a. 7 b. 12 c. 29 d. 61 e. 120 Answer Level 7 Answer 21 Tell whether each number is prime, composite, or neither. a. 7 1 x 7, prime b. 12 1 x 2 x 2 x 3, composite c. 29 1 x 29, prime d. 61 1 x 61, prime e. 120 1 x 2 x 2 x 2 x 3 x 5 composite Category Return Level 8 Question 22 Are these a geometric patterns? Answer Level 8 Answer 22 Yes Category Return Level 9 Question 23 3/5 1 5/6 2¼ 3 1/5 ¾ Place the fractions above on a number line in sequence. Answer Level 9 Answer 23 3/5 0 ¾ 1 15/6 2 2¼ 31/5 3 4 Category Return Level 10 Question 24 Evaluate the expression. Hint: PEMA. 8 + 2(4-1) 32 - 2 Answer Level 10 Answer 24 8 + 2(4-1) 32 – 2 8 + 2(3) = 32 – 2 14 = 32 – 2 14 9 – 2 14/7 = 2 Category Return Level 11 Question 25 Find the mean, median, and mode of the set of data. Round off to the nearest tenth if necessary. 36, 38, 33, 34, 32, 30, 34, 35 Answer Level 11 Answer 25 Find the mean, median, and mode of the set of data. Round off to the nearest tenth if necessary. 36, 38, 33, 34, 32, 30, 34, 35 Order data: 30,32,33,34,34,35,36,38 mean = (30+32+33+34+34+35+36+38)/8=34 median = (34+34)/2 = 34 mode = 34 Category Return Level 12 Question 26 Write an equation and solve the equation. Twenty-nine is thirteen added to four times a number. What is the number? Answer Level 12 Answer 26 Twenty-nine is thirteen added to four 29 = 13 + 4 times a number. x n What is the number? 29 = 13 + 4n 29 – 13 = 13 – 13 + 4n 16 = 4n 16/4 = 4n/4 Category 4 = n Return Level 13 Question 27 State the dimensions of the matrix below. Answer Level 13 Answer 27 2 x 3 2 rows and 3 columns Category Return Level 14 Question 28 Solve: √(2c - 4) = 8 Answer Level 14 Answer 28 Solve: √(2c - 4) = 8 y = 1 2 2 (√(2c - 4)) = (8) 2c – 4 = 64 2c = 62 c = 31 Category Return Grab Bag Question 29 What is the complete factorization of the polynomial 4x3 – 24x2 + 36x? a. 4x(x – 3)2 b. X(2x – 6)2 c. x(4x – 12)(x -3) d. x(4x2 – 24x +36) e. 4x(x2 – 6x + 9) Answer Grab Bag Answer 29 a. 4x(x – 3)2 Category Return Grab Bag Question 30 Which of the following trigonometric equations is false for all x? f. sin x = 2/√5 g. tan x = -100 h. sec x = (√3)/4 j. cos2 x + sin2 x = 1 k. cos x = -0.1439 Answer Grab Bag Answer 30 h. sec x = (√3)/4 Category Return Level 7 Question 31 Find the prime factorization of 56. Answer Level 7 Answer 31 Find the prime factorization of 56. 56 1 x 56 1 x 2 x 28 1 x 2 x 2 x 14 1 x 2 x 2 x 2 x 7 Category Return Level 8 Question 32 Predict the next diagram. Answer Level 8 Answer 32 21 dots Category Return Level 9 Question 33 1.2 0.9 2.45 3.3 0.8 Place the decimals above on a number line in sequence. Answer Level 9 Answer 33 0.3 0 0.9 1.2 1 2.45 2 3.3 3 4 Category Return Level 10 Question 34 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. 2x + y Hint: PEMA Answer Level 10 Answer 34 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. 2x + y 2(6) + 4 = 12 + 4 = 16 Category Return Level 11 Question 35 Match the Measure with the Most Useful When… Measure mean median mode Most Useful When… • data has many identical numbers • the data has extreme values • there are no big gaps in the middle of the data • the data has no extreme values Answer Level 11 Answer 35 Match the Measure with the Most Useful When… Measure mean median mode Most Useful When… • data has many identical numbers • the data has extreme values • there are no big gaps in the middle of the data • the data has no extreme values Category Return Level 12 Question 36 3k – 5 = 7k -21 Hint: Steps for Solving Equations Answer Steps for Solving Equations Step 1: Simplify the expression on each side (combine common terms). Use the Distributive Property as needed. Step 2: Use the Addition and/or Subtraction Properties of Equality to get the variable on one side and the numbers without variables on the other side. Simplify (combine like terms). Step 3: Use the Multiplication or Division Property of Equality to solve. Back Level 12 Answer 36 3k – 5 = 7k -21 Simply by combining like terms using subtraction & addition properties of equality. 3k – 3k – 5 + 21 = 7k – 3k - 21 + 21 16 = 4k Simplify using the Division Property of equality. 16/4 = 4k/4 4 = k and check 3(4) – 5 = 7(4) – 21 = 7 Category Return Level 13 Question 37 Two matrices are considered _____ when they have the same dimensions and if each element of one matrix is equal to the corresponding element of the other matrix. a. square matrices b. zero matrices c. row matrices d. column matrices e. equal matrices Answer Level 13 Answer 37 e. equal matrices Category Return Level 14 Question 38 Solve: √(1 – 2b) = 1 + b Answer Level 14 Answer 38 Solve: √(1 – 2b) = 1 + b (√(1 – 2b))2 = (1 + b)2 1 – 2b = b2 + 2b + 1 0 = b2 + 4b 0 = b(b + 4) b = 0 or b = -4 Category Return Grab Bag Question 39 If a = -3 and b = 4, then ab2 – (a –b) = ? a. 151 b. 55 c. -49 d. -47 e. -41 Answer Grab Bag Answer 39 e. -41 Category Return Grab Bag Question 40 What is the probability of drawing a heart from a well-shuffled standard deck of playing cards. f. ¼ g. 1/52 h. 1/13 j. 4/13 k. 1 Answer Grab Bag Answer 40 d. 312 Category Return Level 7 Question 41 Which test scores are prime numbers? Marisa’ History Test Scores Date January 28 February 15 March 5 March 29 Test Score 67 81 97 100 Answer Level 7 Answer 41 Date January 28 February 15 March 5 March 29 Test Score 67 81 97 100 Test Scores 67 and 97 are prime numbers. Category Return Level 8 Question 42 1, 4, 9, 16, 25, 36, 49, 64, 81, ... What are the next three numbers after 81? Answer Level 8 Answer 42 …64, 81, 100, 121, 144, … 8x8, 9x9, 10x10, 11x11, 12x12 Category Return Level 9 Question 43 0.84 0.68 0.18 1.56 0.33 Place the decimals above on a number line in sequence. Answer Level 9 Answer 43 0.18 0.33 0.68 0.84 0 1 1.56 2 Category Return Level 10 Question 44 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. 3y + z – x Hint: PEMA Answer Level 10 Answer 44 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. 3y + z – x 3(4) + 5 – 6 = (12 + 5) – 6 = 17 – 6 = 11 Category Return Level 11 Question 45 Measures of variation are used to describe the distribution of the data. Measures of variation include: a. mean b. median c. mode d. range e. interquartile range f. outliers Answer Level 11 Answer 45 Measures of variation are used to describe the distribution of the data. Measures of variation include: d. range, e. interquartile range, f. outliers Category Return Level 12 Question 46 Determine whether each solution is correct. If the solution is not correct, describe the error and give the correct solution. a. 2(g + 5) = 22 b. 5d = 2d – 18 2g + 5 = 22 5d – 2d =2d – 18 – 2d 2g + 5 – 5 = 22 – 5 3d = -18 2g = 17 d = -6 g = 8.5 Answer Level 12 Answer 46 Determine whether each solution is correct. If the solution is not correct, describe the error and give the correct solution. a. 2(g + 5) = 22 b. 5d = 2d – 18 2g + 5 = 22 5d – 2d =2d – 18 – 2d 2g + 5 – 5 = 22 – 5 3d = -18 2g = 17 d = -6 g = 8.5 5(-6) = 2(-6) – 18 2(8.5 + 5) = 22 -30 = -30 27 22 Distribution Problem 2(g + 5) is Category 2g + 10 2g + 10 = 22 g = 6 Return Level 13 Question 47 Multiply Answer Level 13 Answer 47 The answer is a 2 x 2 matrix. Category Return Level 14 Question 48 The area A of a circle is equal to πr 2 is the radius of the circle. Write an equation for r in terms of A. Answer Level 14 Answer 48 The area A of a circle is equal to πr the radius of the circle. Write an equation for r in terms of A. A = πr 2 A/π = r 2 √(A/π) = √(r 2) √(A/π) = r 2 Category Return is Grab Bag Question 49 Joel stars out on a trip at 40 mph. If ½ hour later José starts out on the same route at 50 mph, which equation may be used to determine how long it will take José to overtake Joel? a. 40(x + ½) = 50x b. 40x + ½ = 50x c. 40x = 50(x + ½) d. 4(x + 30) = 50x e. 40x = 50x + 30 Answer Grab Bag Answer 49 a. 40(x + ½) = 50x Category Return Grab Bag Question 50 If f(x) = 2x – 5 and g(x) = 1 + x2, then what is equal to f(g(3))? f. 2√2 – 5 g. 2 h. 10 j. 15 k. 16 Answer Grab Bag Answer 50 j. 15 Category Return Level 7 Question 51 Which composite number is the least greatest number? Marisa’ History Test Scores Date Test Score January 28 67 February 15 81 March 5 97 March 29 100 Answer Level 7 Answer 51 100 Category Return Level 8 Question 52 1, 3, 6, 10, 15, 21, 28, 36, 45, ... What are the next two numbers after 45 in this sequence? Answer Level 8 Answer 52 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66,… 3-1 45-36 2 3 4 5 6 7 8 9 10 11 Look for the differences between two consecutive numbers for the pattern. Category Return Level 9 Question 53 2 1/4 0.68 1 ½ 1.56 ¾ Place the decimals above on a number line in sequence. Answer Level 9 Answer 53 0.68 0 ¾ 1½ 1.66 21/4 1 2 3 Category Return Level 10 Question 54 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. wx2 (wx)2 Hint: PEMA Answer Level 10 Answer 54 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. wx2 (2)(62) (2)(36) 72 (wx)2 (2.6)2 (12)2 144 Category Return Level 11 Question 55 Annual Chocolate Sales: Find the range, upper quartile, and lower quartile for the data in the table. Country Sales (x 109 dollars) United States 16.6 United Kingdom 6.5 Germany 5.1 Russia 4.9 Japan 3.2 France 2.1 Brazil 2.0 Answer Level 11 Answer 55 Country 109 Sales (x dollars) United States 16.6 United Kingdom 6.5 Germany 5.1 Russia 4.9 Japan 3.2 France 2.1 Brazil 2.0 Range Greatest data number – smallest data number 16.6 – 2.0 = 14.6 Quartiles First: Find the media, the middle number. Median = 4.9 Second: Find the median of the upper half (upper quartile (UQ)): 5.1,6.5,16.6 UQ = 6.5 Third: Find the median of the lower half (lower quartile (LQ)): 2.0, 2.1, 3.2 LQ = 2.1 Category Return Level 12 Question 56 The rectangle and the square shown below have the same perimeter. Find the dimensions of each side. x 3x + 1 3x Answer Level 12 Answer 56 x 3x + 1 3x X = ½ 3x + 1 =3 (1/2) 1 = 5/2 3(1/2) = 3/2 P = 2(3x + 1 + x) = 4(3x) 6x + 2 + 2x = 12x 2 = 4x x = ½ P = 6 Category Return Level 13 Question 57 Multiply Answer Level 13 Answer 57 The answer is a 2 x 2 matrix. Category Return Level 14 Question 58 Tsunamis, or large waves created by underwater landslides or undersea earthquakes. The speed of the tsunami in meters per second is s = 3.1√d, where d is the depth of the ocean in meters. Find the depth of the water is 240 meters per second. Answer Level 14 Answer 58 s = 3.1√d s = 10 m 240= 3.1√d (240)2 = (3.1√d)2 57,600 = 9.61d 57,600/9.61 = d 5994 = d Category Return Grab Bag Question 59 a. b. c. d. e. 1 2 1 1 1 5 1/8 – 3 5/6 = ? 7/24 17/24 ½ 1/8 17/24 Answer Grab Bag Answer 59 a. 1 7/24 Category Return Grab Bag Question 60 If 2log3 x – 1/2log3 y + log3 z were written as a single logarithm, to what would it be equal? f. log3 (x2z)/√y g. log3 (x2)/(z√y) h. log3 (xz)/y j. log3 (4xz)/y k. log3 (x2 - y/2 + z) Answer Grab Bag Answer 60 f. log3 (x2z)/√y Category Return Level 7 Question 61 To find the volume of a box, you can multiply its height, width, and length. The measure of the volume of a box is 70 cubic units. Find its possible dimensions. Answer Level 7 Answer 61 Box Volume = l x w x h Switch around factors for l, w, and h l 1 1 1 1 2 w 1 2 7 14 7 h 70 35 10 5 5 Category Return Level 8 Question 62 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... Figure out the next three numbers in this famous number sequence. Answer Level 8 Answer 62 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … Fibonacci Numbers The next number is found by adding the two numbers before it together. The 2 is found by adding the two numbers in front of it (1+1) The 21 is found by adding the two numbers in front of it (8+13) The next number in the sequence above would be 55 (21+34) Category Return Level 9 Question 63 Order the numbers below from greatest to least. 606.67 0.0060667 0.60667 60 2/3 6 2/3 606 6061/3 6 ¾ 6.5 Answer Level 9 Answer 63 Order the numbers below from greatest to least. 0.0060667, 0.60667, 6.5, 62/3, 6 ¾, 602/3, 606, 6061/3, 606.67 Category Return Level 10 Question 64 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. X2 – 3 2z + 1 Hint: PEMA Answer Level 10 Answer 64 Evaluate the expression if w = 2, x = 6, y = 4, and z = 5. X2 – 3 2z + 1 62 – 3 = 36 -3 = 2(5) + 1 10 +1 33/11 = 3 Category Return Level 11 Question 65 Annual Chocolate Sales: Find any outliers for the data in the table. Hint: think number line Country Sales (x 109 dollars) United States 16.6 United Kingdom 6.5 Germany 5.1 Russia 4.9 Japan 3.2 France 2.1 Brazil 2.0 Answer Level 11 Answer 65 Country Sales (x 109 dollars) United States 16.6 United Kingdom 6.5 Germany 5.1 Russia 4.9 Japan 3.2 France 2.1 Brazil 2.0 First: Determine the upper quartile and lower quartile values. LQ = 2.1 and UQ = 6.5 Second: Determine the interquartile range. IQR = UQ – LQ = 6.5 – 2.1 = 4.4 and then multiply by 1.5 4.4 x 1.5 = 6.6 Third: Add 6.6 to the UQ and subtract the 6.6 from the LQ to establish the outlier limits. IQR + UQ = 6.6 + 6.5 = 13.1 LQ – IQR = 2.1 – 6.6 = -4.5 Fourth: Compare. There is one outlier, 16.6, because it is greater than 13.1. Category Return Level 12 Question 66 Solve the equation. 4(2x + 7) - 6 = 3x Answer Level 12 Answer 66 4(2x + 7) - 6 = 3x 8x + 28 – 6 = 3x 8x + 22 = 3x 8x – 3x + 22 – 22 = 3x – 3x – 22 5x = -22 5x/5 = -22/5 x = -22/5 -13.2 = -13.2 Category Return Level 13 Question 67 Multiply If possible, find BA and AB. Answer Level 13 Answer 67 AB is not possible. (3 × 3) × (1 × 3). Category Return Level 14 Question 68 Sports broadcasts often include sound collection from the field of play. The temperature affects the speed of sound near Earth’s surface. The speed V when the surface temperature t degrees can be found using the equation V = 20√(t + 273) The speed of sound at Earth’s surface is often given as 340 meters per second. On what temperature is this speed based? Answer Level 14 Answer 68 V = 20√(t + 273) 340 = 20 √(t + 273) (340)2 = (20 √(t + 273))2 115,600 = 400(t + 273) 115,600 = 400t + 109,200 6400 = 400t 6400/400 = t 16 oC = t Category Return Grab Bag Question 69 What is the common decimal numeral for one hundred six and twenty-eight ten thousandths? a. 106.00028 b. 106.0028 c. 106.028 d. 106.28 e. 106,280,000 Answer Grab Bag Answer 69 b. 106.0028 Category Return Grab Bag Question 70 In a class of 27 students, 2/3 are male. Five-sixths of the males in the class received a grade of C. How many male students received a grade of C? f. 6 g. 12 h. 15 j. 18 k. 24 Answer Grab Bag Answer 70 h. 15 Category Return Credits •Bailey, R., Day, R., Frey, P., Howard, A., Hutchens, D., McClain, K., MoreHarris, B., Ott, J., Pelfrey, R., Price, J., Vielhaber, K., and Willard, T. (2006). Mathematics: Applications and Concepts – Course 1. Columbus, OH: Glencoe/McGraw-Hill. •Bailey, R., Day, R., Frey, P., Howard, A., Hutchens, D., McClain, K., More-Harris, B., Ott, J., Pelfrey, R., Price, J., Vielhaber, K., and Willard, T. (2006). Mathematics: Applications and Concepts – Course 2. Columbus, OH: Glencoe/McGraw-Hill. •Bailey, R., Day, R., Frey, P., Howard, A., Hutchens, D., McClain, K., More-Harris, B., Ott, J., Pelfrey, R., Price, J., Vielhaber, K., and Willard, T. (2006). Mathematics: Applications and Concepts – Course 3. Columbus, OH: Glencoe/McGraw-Hill. •Boyd, C., Cummins,J., Malloy, C., Carter, J., Flores, A., Hovespian, V., and Zike, D. (2008). Geometry. Columbus, OH: Glencoe/McGraw-Hill. •Fennell, F., Ferrini-Mundy, J., Ginsburg, H., Greenes, C., Murphy, S., and Tate, W. (1998). Mathematics. Parisppany, NJ: Silver Burdett Ginn, Inc. •Holliday, B., Cuevas, G., Luchin, B., Carter, J., Marks, D., Day, R., Casey, R., Hayek, L., Malloy, C., Hovesepian, V., and Zike, D. (2008) Algebra 1. Columbus, OH: Glencoe/McGraw-Hill. •Holliday, B., Cuevas, G., Luchin, B., Carter, J., Marks, D., Day, R., Casey, R., Hayek, L., Malloy, C., Hovesepian, V., and Zike, D. (2008) Algebra 2. Columbus, OH: Glencoe/McGraw-Hill. •Texas Instruments. (2010). Educational Technlogy – TI-Nspire. Student Trial Downloaded December 30, 2010 from http://education.ti.com/calculators/downloads/US/Software/Detail?id=6768 . Questions and Answers were either taken directly from these sources or modified for inclusion into this learning activity and added to the authors own questions. Used for Educational Purposes Only.