Let’s Get ReadyLet’s Get ReadyTo Play Some . . .

JJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDY

Compound Probability

Percents and Proportions

Misuse of Graphs Problem Solving

100 100 100 100

200 200 200 200

300 300 300 300

400 400 400 400

500 500 500 500

Final Jeopardy

Jeopardy BoardJeopardy Board

Board Answer

Probability of Compound Events 100At Reyna High School 50% of the students eat lunch in the school cafeteria. In the same school 10% of the students participate in sports. What is the probability that a student selected at random eats in the school cafeteria and participates in sports?

F H

G J

1

21

10

1

201

60

Board

Probability of Compound Events 100At Reyna High School 50% of the students eat lunch in the school cafeteria. In the same school 10% of the students participate in sports. What is the probability that a student selected at random eats in the school cafeteria and participates in sports?

F H

G J

1

21

10

1

201

60

50

100 1

2

10

100 1

10

1 1

2 10

1

20

Board Answer

Probability of Compound Events 200Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube?

A C

B D

1

121

4

1

22

3

Board

Probability of Compound Events 200Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube?

A C

B D

1

121

4

1

22

3

1

6

3

6 1

2

1 1

6 2 1

12

Board Answer

Probability of Compound Events 300

In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. List all of the possible ways these three people can sit in the row

Board

Probability of Compound Events 300

In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. List all of the possible ways these three people can sit in the row

One possibility: They could sit junior, sophomore, sophomoreSecond possibility: They could sit junior, sophomore, sophomoreWhy are these different? The sophomores are two different people

I will write the first answer J, S1, S2

I will write the second answer J, S2, S1

How many more? S2, J, S1; S1, J, S2; S1, S2, J; S2, S1, J

There are six ways to sit these three people3 2 1 = 6

Board Answer

Probability of Compound Events 400

In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other?

F H

G J

1

92

3

1

35

6

In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other?

F H

G J

Board

Probability of Compound Events 400

1

92

3

1

35

6

J, S1, S2

J, S2, S1

S2, J, S1

S1, J, S2

S1, S2, J

S2, S1, J

4 out of 6 times two sophomores sat next to each other

4

6

Board Answer

Probability of Compound Events 500Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letters of the alphabet. The second group of 10 tiles is numbered 0 through 9. If Jamal draws 1 letter tile and 1 number tile at random, what is the probability that he will draw a letter in his name and an odd number?

F H

G J

1

131

4

5

527

26

Board

Probability of Compound Events 500Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letters of the alphabet. The second group of 10 tiles is numbered 0 through 9. If Jamal draws 1 letter tile and 1 number tile at random, what is the probability that he will draw a letter in his name and an odd number?

F H

G J

1

131

4

5

527

26

4

26 2

13

5

10 1

2

2 1

13 2

Trick Question, how many different letters in his name?1, 3, 5, 7, OR, 9

Board Answer

Percents and Proportions 100Two race cars travel at constant speeds in the same direction around a track. The faster car travels 186 miles per hour and completes 50 laps each time the slower car completes 47.6 laps. Which is a reasonable estimate of the slower driver’s speed?

Board

Percents and Proportions 100Two race cars travel at constant speeds in the same direction around a track. The faster car travels 186 miles per hour and completes 50 laps each time the slower car completes 47.6 laps. Which is a reasonable estimate of the slower driver’s speed?

A Between 180 mph and 185 mphB Between 175 mph and 180 mphC Between 145 mph and 150 mphD Between 135 mph and 140 mph

miles per hour

laps

186

50

47.6x

50x = 8853.6 50 50

x = 177.072

Board Answer

Percents and Proportions 200Antonio works 40 hours per week at Electronics Warehouse. He earns $6.50 per hour plus a 3% commission on the total dollar value of the service contracts he sells. If Antonio’s hourly rate were increased by $0.15 and his commission were raised to 5%, how much would he earn if he sold $4000 worth of service contracts for the week?

Board

Percents and Proportions 200Antonio works 40 hours per week at Electronics Warehouse. He earns $6.50 per hour plus a 3% commission on the total dollar value of the service contracts he sells. If Antonio’s hourly rate were increased by $0.15 and his commission were raised to 5%, how much would he earn if he sold $4000 worth of service contracts for the week?A $126.50B $206.65C $466.00D $580.00

Earns $6.65 per hour for 40 hours

5% commission on $4000

Total?

Board Answer

Percents and Proportions 300Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair?

Board

Percents and Proportions 300Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair?

A 3B 4C 21D Not here

25% of 32 students have brown hair

Remaining students (don’t have brown hair)

12.5% of 24 student have red hair

Board Answer

Percents and Proportions 400

Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house?

Board

Percents and Proportions 400Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house?

F $7,342G $34,875H $139,500J $662,625

5% commission on $10,000 = _____________

5% commission on $25,000 = _____________

5% commission on $140,000 = _____________

5% commission on _________ = $6975

.05x = $6975.05 .05x = 139,500

Board Answer

Percents and Proportions 500Olivero is choosing between two brands of AAA batteries for his graphing calculator. A package of three Brand M batteries costs $5.50, and a package of three Brand P batteries costs $3.85. What percent of the cost of Brand M batteries did Olivero save by buying a package of Brand P batteries?

Board

Percents and Proportions 500Olivero is choosing between two brands of AAA batteries for his graphing calculator. A package of three Brand M batteries costs $5.50, and a package of three Brand P batteries costs $3.85. What percent of the cost of Brand M batteries did Olivero save by buying a package of Brand P batteries?

F 17%G 30%H 43%J 70%

To find a percent think of the words “out of”

Saved _______ “out of” __________ $1.65 $5.50

Board Answer

Misuse of Graphs 100The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true?A 63 students have no future educational plans.B More students plan to attend a community college or technical school than plan to attend a university.C 44 students plan to attend a university.D Fewer than one-fourth of the students plan to attend a community college.

Educational Plans

Institution Percent

University 44

Comm. Coll. 26

Tech.School 16

Undecided 14

A 63 students have no future educational plans.B More students plan to attend a community college or technical school than plan to attend a university.C 44 students plan to attend a university.D Fewer than one-fourth of the students plan to attend a community college.

The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true?

Board

Misuse of Graphs 100Educational Plans

Institution Percent

University 44

Comm. Coll. 26

Tech.School 16

Undecided 14

Fewer than one-fourth means fewer than 25%

44 % plan to attend

26% + 16% = 42%42% < 44%

14%450 0.14450 = 63

Board Answer

Misuse of Graphs 200The graph below shows the amount of time Dennis spent studying over a 2-week period in October.Which of the following statements would be an invalid conclusion for these data?F Dennis spent a total of 660 minutes studying.G Dennis studied for an average of about 47 minutes/day.H Dennis studied for an average of 330 minutes per week.J Dennis earned good grades during this 2-week period.

The graph below shows the amount of time Dennis spent studying over a 2-week period in October.Which of the following statements would be an invalid conclusion for these data?F Dennis spent a total of 660 minutes studying.G Dennis studied for an average of about 47 minutes/day.H Dennis studied for an average of 330 minutes per week.J Dennis earned good grades during this 2-week period.

Board

Misuse of Graphs 200

Board Answer

Misuse of Graphs 300The table below shows the population and the area in square miles of some U.S. states.Which statement best describes the relationship between the population and the area of a state?A The larger a state’s area, the larger its population is.B No relationship can be determined from the data in the table.C New Jersey has the smallest population of the states in the table because it has the smallest area.D Texas is the largest U.S. state.

The table below shows the population and the area in square miles of some U.S. states.Which statement best describes the relationship between the population and the area of a state?A The larger a state’s area, the larger its population is.B No relationship can be determined from the data in the table.C New Jersey has the smallest population of the states in the table because it has the smallest area.D Texas is the largest U.S. state.

Board

Misuse of Graphs 300

Board Answer

Misuse of Graphs 400The table below shows the cost of fertilizer, depending on the amount purchased.Which conclusion can be made based on information in the table?A The cost of 10 pounds of fertilizer

would be more than $4.00.B The cost of 200 pounds of fertilizer

would be less than $57.00.C The cost of fertilizer is always more

than $0.35 per pound.D The cost of fertilizer is always less

than $0.30 per pound.

Board

Misuse of Graphs 400The table below shows the cost of fertilizer, depending on the amount purchased.Which conclusion can be made based on information in the table?A The cost of 10 pounds of fertilizer

would be more than $4.00.B The cost of 200 pounds of fertilizer

would be less than $57.00.C The cost of fertilizer is always more

than $0.35 per pound.D The cost of fertilizer is always less

than $0.30 per pound.

Board Answer

Misuse of Graphs 500

Which conclusion can be made from the table?A The unemployment rate continuously increased over

these 5 years.B The unemployment rate for the sixth year is 4.1%.C Employers hired the most people in the third year.D The unemployment rate averaged

more than 4% over these 5 years.

The table below shows the yearly unemployment rates of a city over a 5-year period.

Board

Misuse of Graphs 500The table below shows the yearly unemployment rates of a city over a 5-year period.Which conclusion can be made from the table?A The unemployment rate continuously increased over

these 5 years.B The unemployment rate for the sixth year is 4.1%.C Employers hired the most people in the third year.D The unemployment rate averaged

more than 4% over these 5 years.

Board Answer

Problem Solving 100Sean is an Algebra I student who believes that xy2 = (xy)2. Rudy informs Sean that this theory is not always true. Which pair of values for x and y could Rudy use to disprove Sean’s theory?

F x = 0 and y = 2

G x = 1 and y = 2

H x = 2 and y = 0

J x = 2 and y = 1

Sean is an Algebra I student who believes that xy2 = (xy)2. Rudy informs Sean that this theory is not always true. Which pair of values for x and y could Rudy use to disprove Sean’s theory?

F x = 0 and y = 2

G x = 1 and y = 2

H x = 2 and y = 0

J x = 2 and y = 1

Board

Problem Solving 100

Test the answers, which one is wrong?

0 22 = (0 2)2 0 = 0

1 22 = (1 2)2 4 = 4

2 02 = (2 0)2 0 = 0

2 12 ≠ (2 1)2 2 ≠ 4

Board Answer

Problem Solving 200Which statement about the triangles below is true?

F All the triangles are scalene.G All the triangles are equiangular.H All the triangles are equilateral.J All the triangles are isosceles.

F All the triangles are scalene.G All the triangles are equiangular.H All the triangles are equilateral.J All the triangles are isosceles.

Board

Problem Solving 200Which statement about the triangles below is true?

No sides equal

All angles equal

All sides equalHas to be equiangular

At least two sides equal

Board Answer

Problem Solving 300Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle.Conclusion: The measures of the angles are 70° and 90°. This conclusion —F is contradicted by the first statement givenG is verified by the first statement givenH invalidates itself because a 90° angle cannot

be supplementary to anotherJ verifies itself because 90° is 20° more than 70°

Board

Problem Solving 300Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle.Conclusion: The measures of the angles are 70° and 90°. This conclusion —F is contradicted by the first statement givenG is verified by the first statement givenH invalidates itself because a 90° angle cannot be supplementary to anotherJ verifies itself because 90° is 20° more than 70°

Supplementary angles add up to 180°

Board Answer

Problem Solving 400Lisa has a circular piece of cardboard (CB) with a 10-inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible?F There will be no CB left after the rect. has been cut.G A 10-inch-long rect. can’t be cut from the round CBH Squares cannot be cut from the circle.J There will not be enough CB to cut all the 1-inch-square pieces indicated.

Board

Problem Solving 400Lisa has a circular piece of cardboard (CB) with a 10-inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible?F There will be no CB left after the rect. has been cut.G A 10-inch-long rect. can’t be cut from the round CBH Squares cannot be cut from the circle.J There will not be enough CB to cut all the 1-inch-square pieces indicated. 10 in diameter

10 in by 2 in rectangle

and intersect at a point Q that is between F and G and between J and K. Which statement must be true?F Points F, G, J, and K are collinear.GH J

Board Answer

Problem Solving 500

FG�������������� �

JK�������������� �

FG JK�������������� � �������������� �

KQF FQJ JQG FQK

and intersect at a point Q that is between F and G and between J and K. Which statement must be true?F Points F, G, J, and K are collinear.GH J

Problem Solving 500

Board

FG�������������� �

JK�������������� �

FG JK�������������� � �������������� �

KQF FQJ JQG FQK

F

GJ

K

Q

All on same line

Perpendicular - 90° angle

KQF > 90° while FQJ < 90°

Vertical angles ARE equal

Final Jeopardy Category

Final Jeopardy Category

Board

Final Jeopardy QuestionFinal Jeopardy Question

Answer

Amber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first fabric is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric?

Board

Final Jeopardy AnswerFinal Jeopardy AnswerAmber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first fabric is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric?A 3.75 in. by 6.25 in.B 4.69 in. by 7.81 in.C 5.50 in. by 7.50 in.D 4.25 in. by 6.25 in.

5 in

3 in

1.25

1.25

6.25 in

3.75 in

1.25

1.25

7.81 in

4.69 in