Ludus for Mathematics Classroom 1 Mathematics Ver

Ludus for Mathematics – Classroom 1 Mathematics Ver 2010 DEC 21 Oh, So Top Secret OST S 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: blester@adams 50. org Not for sale or publishing. Classroom use only. Barnacle Bill Synthesizer

Level Topics Level Level Grab OST 7 - Divisibility 8 – Perfect Squares & Square Roots 9 – Fractions, Ratios, & Percents 10 – Ratios, Proportions & Percents 11 – Exponential Notation 12 – Scientific Notation 13 – Matrix Addition & Subtraction 14 – Exponential Equations Bag – ACT Math Questions S

OSTMathematics Levels S Directions: Click on the yellow numbered buttons to select a question. They are active. 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 21 31 41 51 61 12 22 32 42 52 62 13 23 33 43 53 63 14 24 34 44 54 64 15 25 35 45 55 65 16 26 36 46 56 66 17 27 37 47 57 67 18 28 38 48 58 68 19 29 39 49 59 69 20 30 40 50 60 70

Level 7 Question 1 A number is divisible by another number when the quotient is a whole number and the remainder is _____. a. 10 b. 5 c. 4 d. 3 e. 2 f. 1 g. 0 OST S Answer

Level 7 Answer 1 g. 0 A number is divisible by another number when the quotient is a whole number and the remainder is 0. OST S Category 4 Return

Level 8 Question 2 Which of the following numbers is a perfect square? Why? a. 5 b. 10 c. 25 d. 50 OST S Answer

Level 8 Answer 2 c. 25 5 x 5 = 25 OST A number x itself forms a perfect square. S Category 4 Return

Level 9 Question 3 Select the ratio from the answers below _____. a. 34 out of 100 b. 34: 100 c. 34/100 d. All of the above e. None of the above OST S Answer

Level 9 Answer 3 d. All of the above 34 out of 100, 34: 100, and 34/100 OST S Category 4 Return

Level 10 Question 4 The comparison of two quantities with different types of units is called a _____. For example: $5 for 2 lbs of cherries OST S Answer

Level 10 Answer 4 The comparison of two quantities with different types of units is called a rate. For example: $5 for 2 lbs of cherries OST S Category 4 Return

Level 11 Question 5 To simplify the expression (5 x 7)(x 6), you would apply the _____ rule. a. Power of a Power (am)n = amn b. Product of Powers aman = am+n c. Quotient of Powers am/an = am-n d. Power of a Quotient (a/b)m= am/bm e. Zero Exponent a 0 = 1 f. Negative Exponent a-n = 1/an OST S Answer

Level 11 Answer 5 To simplify the expression (5 x 7)(x 6), you would apply the _____ rule. b. Product of Powers aman = am+n 5 x(7+6) = 5 x 13 OST S Category 4 Return

Level 12 Question 6 Select the standard form numbers from below. a. 6, 345 b. 6. 345 x 103 c. 6. 345 x 10 d. 0. 006345 e. 6. 345 x 10 -3 f. 6. 345 x 10 -1 OST S Answer

Level 12 Answer 6 Select the standard form numbers from below. a. 6, 345 d. 0. 006345 OST S Category 4 Return

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 OST S Answer

Level 13 Answer 7 d. matrix OST S Category 4 Return

Level 14 Question 8 A quadratic function can be written in the form (standard form) _____. a. y = ax b. y = ax 2 + bx + c c. y = bx + c OST S Answer

Level 14 Answer 8 b. y = ax 2 + bx + c OST S Category 4 Return

Grab Bag Question 9 If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following? I. 12 II. 18 III. 26 OST S a. b. c. d. e. I only I and II only I, II, and III None Answer

Grab Bag Answer 9 b. II only OST S Category 4 Return

Grab Bag Question 10 When 4/11 is written as a decimal, what is the 100 th digit after the decimal point? f. 3 g. 4 h. 5 j. 6 k. 7 OST S Answer

Grab Bag Answer 10 j. 6 OST S Category 4 Return

Level 7 Question 11 How do you know 42 is divisible by 6? I can apply the Divisibility Rule: a. The sum of the digits is divisible by 6. b. The last two digits form a number divisible by 6. c. The number is divisible by both 2 and 3. d. The sum of the digits is divisible by 6. OST S Answer

Level 7 Answer 11 c. The number is divisible by both 2 and 3 OST 42 is divisible by both 2 and 3. Divisibility Rule for 6 S Category Return

Level 8 Question 12 Which of the following numbers is a perfect square? Why? a. 20 b. 50 c. 100 d. 150 OST S Answer

Level 8 Answer 12 c. 100 10 x 10 = 100 A number x itself forms a perfect square. OST S Category Return

Level 9 Question 13 A _____ is a comparison of two numbers by division. OST S Answer

Level 9 Answer 13 A ratio is a comparison of two numbers by division. Category Return

Level 10 Question 14 Express each rate as a unit rate. $50 for 4 days of work 3 feet of snow in 5 hours OST S Answer

Level 10 Answer 14 unit rate $50 for 4 days of work Divide the both the numerator & denominator by 4. $50/4 d = $12. 50/1 d OST 3 feet of snow in 5 hours Divide the both the numerator & denominator by 5 S 3 ft/5 h = 0. 6 ft/1 h Category Return

unit rate Back A rate is a special kind of ratio in which two quantities with different types of units are compared. The unit rate is simplified so that the denominator is 1. $10 per hour $10 per 1 h $10/1 h $10/h You can find unit rates for food on the market shelves.

Level 11 Question 15 Simplify. (ab 4)(ab 2) (p 5 q 4)(p 2 q) (-7 c 3)(4 c) Exponent Rules OST S Answer

Exponent Rules Back Power of a Power (am)n = amn Product of Powers aman = am+n Quotient of Powers am/an = am-n Power of a Quotient (a/b)m= am/bm Zero Exponent a 0 = 1 Negative Exponent a-n = 1/an

Level 11 Answer 15 Simplify. (ab 4)(ab 2) (p 5 q 4)(p 2 q) (-7 c 3)(4 c) a(1+1)b(4+2) p(5+2)q(4+1) (-7. 4)c(3+1) a 2 b 6 p 7 q 5 -28 c 4 OST S Category Return

Level 12 Question 16 Select the factor form numbers from below. a. 6, 345 b. 6. 345 x 103 c. 6. 345 x 10 d. 0. 006345 e. 6. 345 x 10 -3 f. 6. 345 x 10 -1 OST S Answer

Level 12 Answer 16 Select the standard form numbers from below. c. 6. 345 x 10 f. 6. 345 x 10 -1 OST S Category Return

Level 13 Question 17 A value in a matrix is called a(n) a. array b. element c. dimension d. equality OST S Answer

Level 13 Answer 17 elements OST S elements Category Return

Level 14 Question 18 An exponential function can be written in the form (standard form) _____. a. y = ax b. y = ax 2 + bx + c c. y = bx + c OST S Answer

Level 14 Answer 18 a. y = ax OST S Category Return

Grab Bag Question 19 8 1/3 ÷ 6 2/3 = ? a. b. c. d. e. OST 1 ¼ 1 2/3 2 ½ 2 2/3 55 4/9 S Answer

Grab Bag Answer 19 a. 1 ¼ OST S Category Return

Grab Bag Question 20 For how many integer values of x will 7/x be greater than ¼ and less than 1/3? f. 6 g. 7 h. 12 j. 28 k. infinitely many OST S Answer

Grab Bag Answer 20 g. 7 OST S Category Return

Level 7 Question 21 How do you know 2, 324 is divisible by 4? I can apply the Divisibility Rule: a. the sum of the digits is divisible by 4. b. The last two digits form a number divisible by 4. c. The number is divisible by both 2 and 3. d. The sum of the digits is divisible by 4. OST S Answer

Level 7 Answer 21 d. The last two digits form a number divisible by 4. Divisibility Rule for 4 OST S Category Return

Level 8 Question 22 Which of the following numbers is a perfect square? Why? a. 121 b. 144 c. 169 d. 196 OST S Answer

Level 8 Answer 22 OST a, b, c, and d are all perfect squares. 11 x 11 = 121 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 S Category Return

Level 9 Question 23 When a ratio compares a number to 100, it can be written as a _____. OST S Answer

Level 9 Answer 23 percent OST S Category Return

Level 10 Question 24 For the 2000 census, the population of Texas was about 20, 900, 000 and the population of Illinois was about 12, 500, 000. There were 30 members of the U. S. House of Representatives from Texas and 19 from Illinois. In which state did a member represent more people? OST S Answer

≈ Level 10 Answer 24 Texas: 20, 900, 000 people ≈ 700, 000 people 30 representatives 1 representative Divide numerator & denominator by 30. Illinois: 12, 500, 000 people ≈ 660, 000 people 19 representatives 1 representative OST S Divide the numerator & denominator by 19. Category Return

≈ Approximately equal to Back

Level 11 Question 25 Express the area of the figure as a monomial. Exponent Rules a 2 b OST S Answer

Exponent Rules Back Power of a Power (am)n = amn Product of Powers aman = am+n Quotient of Powers am/an = am-n Power of a Quotient (a/b)m= am/bm Zero Exponent a 0 = 1 Negative Exponent a-n = 1/an

Level 11 Answer 25 Express the area of the figure as a monomial. a 2 b = s OST S Area = side A = s. s A = a 2 b A = a(2+2)b(1+1) A = a 4 b 2 Category Return

Level 12 Question 26 Select the scientific notation numbers from below. a. 12, 322 b. 8. 423 x 107 c. 6. 3457 x 10 d. 0. 000006345 e. 3. 895 x 10 -8 f. 2. 345 x 10 -1 OST S Answer

Level 12 Answer 26 Select the scientific notation numbers from below. b. 8. 423 x 107 e. 3. 895 x 10 -8 OST S Category Return

Level 13 Question 27 State the dimensions of the matrix below. OST S Answer

Level 13 Answer 27 OST S 2 x 3 2 rows and 3 columns Category Return

Level 14 Question 28 The y-intercept for the exponential function graphed below is _____. OST S Answer

Level 14 Answer 28 y = 1 OST S Category Return

Grab Bag Question 29 In a group of 25 students, 16 are female. What percentage of the group are female? a. 16% b. 40% c. 60% d. 64% e. 75% OST S Answer

Grab Bag Answer 29 d. 64% OST S Category Return

Grab Bag Question 30 An advantage of sexual reproduction over asexual reproduction is that it allows _____. a. protection for the offspring. b. more offspring to be produced. c. more genetic variation among the offspring. d. all of the above. e. none of the above. OST S Answer

Grab Bag Answer 30 c. more genetic variation among the offspring. OST S Category Return

Level 7 Question 31 How do you know 567 is divisible by 9? I can apply the Divisibility Rule: a. The sum of the digits is divisible by 3. b. The last two digits form a number divisible by 9. c. The number is divisible by both 2 and 3. d. The sum of the digits is divisible by 9. OST S Answer

Level 7 Answer 31 d. The sum of the digits is divisible by 9. Divisibility Rule for 9 OST S Category Return

Level 8 Question 32 Determine the square root of 225 (√ 225). a. 14 b. 15 c. 16 d. 17 OST S Answer

Level 8 Answer 32 b. 15 √ 225 = 15 15 x 15 = 225 In this case multiplying the square roots together for the perfect square 225. OST S Category Return

Level 9 Question 33 If Juan answered 8 out of 10 questions correctly, which diagram represents this ratio? B C A OST S Answer

Level 9 Answer 33 B OST S Category Return

Level 10 Question 34 You have a Trail Mix Recipe for six people. This recipe requires you to combine 3 cups of raisins with 6 cups of peanuts. But only you and your significant other will be going on the hike in El Dorado Canyon. How do you modify the recipe for only two people? OST S Answer

Level 10 Answer 34 6 people Raisins Peanuts OST S 2 people Divide the 6 people by 3 and divide the recipe proportions by 3. 1 cup of raisons & 2 cups of peanuts for 2 people. Raisins Peanuts Category Return

Level 11 Question 35 Exponent Rules Simplify each expression. x 0 y 4 y 2 OST S 2 x 3 y 2 z 5 10 xy 3 z 4 Answer

Exponent Rules Back Power of a Power (am)n = amn Product of Powers aman = am+n Quotient of Powers am/an = am-n Power of a Quotient (a/b)m= am/bm Zero Exponent a 0 = 1 Negative Exponent a-n = 1/an

Level 11 Answer 35 Simplify each expression. x 0 y 4 y 2 2 x 3 y 2 z 5 10 xy 3 z 4 y(4 -2)0. 2 x(3 -1)y(2 -3)z(5 -4) OST y 2 S 0. 2 x 2 y-1 z 1 Category Return

Level 12 Question 36 Show that 2. 35 x 10 -5 < 1 and 2. 35 x 103 > 1 by creating a table. OST S Answer

Level 12 Answer 36 Show that 2. 35 x 10 -5 < 1 and 2. 35 x 103 > 1. Scientific Factor Form Standard Notation Form 2. 35 x 10 -5 2. 35 x 10 -1 x 10 -1 0. 0000235< 1 10 -1 = 1/10 = 0. 1 2. 35 x 103 OST S 2. 35 x 101 2350 > 1 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 OST S Answer

Level 13 Answer 37 e. equal matrices OST S Category Return

Level 14 Question 38 Select the graph representing a growth curve. OST S Answer

Level 14 Answer 38 OST S Category Return

Grab Bag Question 39 At the end of the season, a team’s ratio of wins to losses was 3: 5. If there were no ties, what percentage of its games did the team win? f. 33 1/3% g. 37 ½% h. 40% j. 60% k. 62 ½% OST S Answer

Grab Bag Answer 39 g. 37 ½% OST S Category Return

Grab Bag Question 40 What is the greatest of the numbers 132, 361, 36, 312, and 123? a. 132 b. 361 c. 36 d. 312 e. 123 OST S Answer

Grab Bag Answer 40 d. 312 OST S Category Return

Level 7 Question 41 How do you know 525 is divisible by 5? I can apply the Divisibility Rule: a. The sum of the digits is divisible by 5. b. The last digit is a number divisible by 5. c. The number is divisible by both 2 and 5. d. The sum of the last two digits is divisible by 5. OST S Answer

Level 7 Answer 41 b. The last digit is a number divisible by 5. Divisibility Rule for 5 OST S Category Return

Level 8 Question 42 √ 625 = ? a. 15 b. 20 c. 25 d. 30 OST S Answer

Level 8 Answer 42 c. 25 √ 625 = 25 25 x 25 = 625 OST S Category Return

Level 9 Question 43 Complete the ratios for the diagram below. (Yellow & Total) Which answer is the fraction format? ___ out of ____ : ____ / ____ OST S Answer

Level 9 Answer 43 31 out of 88 31: 88 31/88 fraction format OST S Category Return

Level 10 Question 44 Express each ratio in simplest form: 14 chosen out of 70 who applied 28 out of 100 doctors (and then convert to percent) OST S 153 points in 18 games Answer

Level 10 Answer 44 Express each ratio in simplest form: 14 chosen out of 70 who applied 1 chosen out of 5 applicants 1 chosen / 5 applicants 1 chosen : 5 applicants 28 out of 100 doctors (and then convert to percent 7 out of 25 doctors 7/25 doctors 7 : 25 doctors OST S 153 points in 18 games 17 points in 2 games 17 points/2 games 17 points : 2 games Category Return

Level 11 Question 45 Exponent Rules Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. After it passes through the amplifier, the signal has been boosted 106 times. Simplify this expression. OST S Answer

Exponent Rules Back Power of a Power (am)n = amn Product of Powers aman = am+n Quotient of Powers am/an = am-n Power of a Quotient (a/b)m= am/bm Zero Exponent a 0 = 1 Negative Exponent a-n = 1/an

Level 11 Answer 45 Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. After it passes through the amplifier, the signal has been boosted 106 times. Simplify this expression. OST S 106 = 10(6+6) = 1012 Category Return

Level 12 Question 46 Travel – The number of visitors from various countries to the United States in a recent year are listed in the table. Order the countries according to the number of visitors from greatest to least. OST S Country Number of Visitors Canada 1. 46 x 107 France 1. 1 x 106 Germany 1. 8 x 106 Japan 5. 1 x 106 Mexico 1. 03 x 107 United Kingdom 4. 7 x 106 Answer

Level 12 Answer 46 Country 1. 46 x 107 1 France 1. 1 x 106 6 Germany 1. 8 x 106 5 Japan 5. 1 x 106 3 Mexico 1. 03 x 107 2 United Kingdom S Greatest to Least Canada OST Number of Visitors 4. 7 x 106 4 Category Return

Level 13 Question 47 Add the two matrices below. Be sure to show your method. OST S Answer

Level 13 Answer 47 OST S Category Return

Level 14 Question 48 The amount of money spent at the Outlet Mall continues to increase as modeled by T(x)=12. (1. 12)x. T(x) is in millions of dollars. Two marks on the domain axis represents 1 year. A mark on the range axis represents 5 million dollars. How much money was spent at the mall in 1995 (year 0)? How much was spent in 2006 (year 10)? OST S Answer

Level 14 Answer 48 Calculated for 2006: T(x) = 12(1. 12)10 = $37. 3 million About 37 million dollars spent in 2006 OST About 12 million dollars spent in 1995 S Calculated for 1995: T(x) = 12(1. 12)0 = $12 million 2006 or 10 y Category Return

Grab Bag Question 49 (-2)-3 + (-3)-2 =? f. -17/72 g. -1/72 h. 0 j. 1/17 k. 17/72 OST S Answer

Grab Bag Answer 49 g. -1/72 OST S Category Return

Grab Bag Question 50 OST If x = -5, then 2 x 2 -6 x +5 = ? a. -15 b. 15 c. 25 d. 85 e. 135 S Answer

Grab Bag Answer 50 c. 25 OST S Category Return

Level 7 Question 51 How do you know 138 is divisible by 3? I can apply the Divisibility Rule: a. The sum of the digits is divisible by 3. b. The last two digits form a number divisible by 3. c. The number is divisible by both 2 and 3. d. The product of the digits is divisible by 3. OST S Answer

Level 7 Answer 51 a. a. the sum of the digits is divisible by 3. Divisibility Rule for 3 OST S Category Return

Level 8 Question 52 The square root of 289 is _____. a. 9 b. 14 c. 17 d. 22 OST S Answer

Level 8 Answer 52 c. 17 √ 289 = 17 OST S 17 x 17 = 289 Category Return

Level 9 Question 53 Write an equivalent fraction for 2/5 with a denominator of 100. OST S Answer

Level 9 Answer 53 numerator denominator 2 x 20 5 x 20 OST S 40 100 Category Return

Level 10 Question 54 Express each rate as a unit rate: $25 for 5 dozen donuts 21. 5 lbs in 12 weeks OST 400 m in 48. 5 s S Answer

unit rate: Level 10 Answer 54 $25 for 5 dozen donuts Divide both numerator & denominator by 5. $5/1 doz 21. 5 lbs in 12 weeks Divide both the numerator & the denominator by 12. ≈ 1. 8 lbs/1 week 400 m in 48. 5 s Divide both the numerator & the denominator by 48. 5. ≈ 8. 25 m/1 s Category Return OST S

Level 11 Question 55 Exponent Rules Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. Represent the number of times the signal has been boosted after it has passed through the first four amplifiers as a power of 106. Then simplify the expression. OST S Answer

Exponent Rules Back Power of a Power (am)n = amn Product of Powers aman = am+n Quotient of Powers am/an = am-n Power of a Quotient (a/b)m= am/bm Zero Exponent a 0 = 1 Negative Exponent a-n = 1/an

Level 11 Answer 55 Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. Represent the number of times the signal has been boosted after it has passed through the first four amplifiers as a power of 106. Then simplify the expression. OST S (106)4 = 10(6 x 4) = 1024 Category Return

Level 12 Question 56 Electromagnetic Wavelength Electromagnetic Spectrum – Radiation Astronomers observe Radiowave 10 km electromagnetic radiation X rays 4. 5 x 10 -1 nm (including visible and non-visible) UV rays 6. 5 x 101 nm at various wavelengths to gain Red 6. 5 x 102 nm information and understandings Violet 425 nm about our cosmos. The table Microwaves 5 x 101 mm contains some typical Gamma rays 800 x 10 -5 nm wavelengths of the spectrum. Place them in order of the Hint: Convert to the same unit. 1 km = 1000 m smallest to the largest 100 cm = 1 m 10 mm = 1 cm wavelength. OST S 1000 μm = 1 mm 1000 nm = 1 μm Answer

Level 12 Answer 56 Electromagnetic Wavelength Radiation Conversion to nm Radio wave 10 km X ray 4. 5 x 10 -1 nm 4. 5 x 10 -1 2 UV ray 6. 5 x 101 nm 6. 5 x 101 3 Red 6. 5 x 102 nm 6. 5 x 102 5 Violet 425 nm 4. 25 x 102 4 Microwave 5 x 101 mm OST Gamma ray S 800 x 10 -5 nm 10 km (1000 m/km) x (100 cm/m)(10 mm/cm) x (1000μm/mm)(1000 nm/μm) = 1 x 1013 Smallest to Largest Wavelength 55 mm (1000μm/mm) x (1000 nm/μm) = 5. 5 x 107 8. 0 x 10 -3 7 6 1 Category Return

Level 13 Question 57 OST S Answer

Level 13 Answer 57 OST S Category Return

Level 14 Question 58 Which of the following equations represents exponential growth of compound interest? a. y = C(1 + r)t b. A = P(1 + r/n)nt c. y = C(1 -r)t OST S Answer

Level 14 Answer 58 b. A = P(1 + r/n)nt OST S Category Return

Grab Bag Question 59 The formula for the lateral surface area S of a right circular cone is S = πr√(r 2 + h 2), where r is the radius of the base and h is the altitude. What is the lateral surface area, in square feet, of a right circular cone with base radius 3 feet and altitude 4 feet? f. 3π√ 5 g. 3π√ 7 h. 15π j. 21π k. 75π/2 OST S Answer

Grab Bag Answer 59 h. 15π OST S Category Return

Grab Bag Question 60 If xyz ≠ 0, which of the following is equivalent to x 2 y 3 z 4 (xyz 2)2 a. 1/y b. 1/z c. Y d. x/yz e. xyz OST S Answer

Grab Bag Answer 60 a. 1/y OST S Category Return

Level 7 Question 61 Using mental math determine if 965, 476 is divisible by 2, 3, 4, 5, 6, 9, or 10. OST S Answer

Level 7 Answer 61 965, 476 is divisible by 2 and 4. OST S Category Return

Level 8 Question 62 The square root of 16 is _____. a. 1 b. 2 c. 3 d. 4 e. 5 OST S Answer

Level 8 Answer 62 d. 4 OST S Category Return

Level 9 Question 63 Write each of the fractions below as a percent. 17/20 OST S 3/5 2/25 Answer

Level 9 Answer 63 Write each of the fractions below as a percent. 17/20 3/5 2/25 17 x 5 20 x 5 3 x 20 5 x 20 2 x 4 4 x 25 85/100 60/100 8/100 60% 8% OST 85% S Category Return

Level 10 Question 64 Given: 1 mi = 5280 ft 1 min = 60 s 1 h = 60 min 1 gal = 64 oz 1 h = 3600 s Convert the following rate: OST 180 gal/h = _____oz/min S Answer

Level 10 Answer 64 Given: 1 mi = 5280 ft 1 gal = 64 oz 1 min = 60 s 1 h = 3600 s 1 h = 60 min Convert the following rate: 180 gal/h = _____oz/min 180 gal x 64 oz x 1 h = 192 oz/min 1 h x 1 gal x 60 min OST S Category Return

Level 11 Question 65 The length of a rectangle is five times the width of the rectangle. If the width of the rectangle is q units, what is the area of the rectangle? a. 5 q units 2 b. 5 q 2 units 2 c. q + 5 units 2 d. 5 q(q + 5) units 2 OST S Answer

Level 11 Answer 65 The length of a rectangle is five times the width of the rectangle. If the width of the rectangle is q units, what is the area of the rectangle? b. 5 q 2 units 2 5 q q OST S Area = length x width A = 5 q x q = 5 q(1+1) = 5 q 2 Category Return

Level 12 Question 66 The smallest unit of time is the yoctosecond, which equals 0. 00000000000 01 second. Write this number in scientific notation. OST S Answer

Level 12 Answer 66 The smallest unit of time is the yoctosecond, which equals 0. 000 000 001 second. Write this number in scientific notation. 1 x 10 -24 s OST S Category Return

Level 13 Question 67 Complete the matrix subtraction problem below. OST S Answer

Level 13 Answer 67 0 -6 OST S Category Return

Level 14 Question 68 For the exponential equations below for growth, compound interest, and decay, y = C(1 + r)t A = P(1 + r/n)nt y = C(1 -r)t match the letters with what they represent. OST S A C n P r t initial value time principal current value number of times rate Answer

Level 14 Answer 68 For the exponential equations below for growth, compound interest, and decay, y = C(1 + r)t A = P(1 + r/n)nt y = C(1 -r)t match the letters with what they represent. OST S A C n P r t initial value time principal current value number of times Category rate Return

Grab Bag Question 69 The two rectangles in the figure below have the same area. What is a expressed in terms of b? f. 2 b/3 b g. 3 b/2 b + 3 h. 2/3 b a + 2 j. 3/2 b k. b-1 a OST S Answer

Grab Bag Answer 69 f. 2 b/3 OST S Category Return

Grab Bag Question 70 Which of the following is the solution statement for the inequality -3<4 x – 5 ? a. x >2 b. x > ½ c. x < -2 d. x < ½ e. x < 2 OST S Answer

Grab Bag Answer 70 b. x > 1/2 OST S Category Return

Credits • Bailey, R. , Day, R. , Frey, P. , Howard, A. , Hutchens, D. , Mc. Clain, K. , More. Harris, B. , Ott, J. , Pelfrey, R. , Price, J. , Vielhaber, K. , and Willard, T. (2006). Mathematics: Applications and Concepts – Course 1. Columbus, OH: Glencoe/Mc. Graw-Hill. • Bailey, R. , Day, R. , Frey, P. , Howard, A. , Hutchens, D. , Mc. Clain, 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/Mc. Graw-Hill. • Bailey, R. , Day, R. , Frey, P. , Howard, A. , Hutchens, D. , Mc. Clain, 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/Mc. Graw-Hill. • Boyd, C. , Cummins, J. , Malloy, C. , Carter, J. , Flores, A. , Hovespian, V. , and Zike, D. (2008). Geometry. Columbus, OH: Glencoe/Mc. Graw-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/Mc. Graw-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/Mc. Graw-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. OST S 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.