Unit 6 REVIEW 7.6 acdehi

Unit 6 TEST REVIEW

TEK 7.6 H,I,C,D,B

We will :  Prepare for the Unit 6 Probability Test

I will :   be able to determine what I am struggling with to determine what I need to practice more

Sample Space: is the set of all possible outcomes or results of that experiment.

determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.[7.6I]

Question 1

Multiple Choice

Q1. Nolon has a number cube and a spinner. The faces of the number cube are labeled 1 through 6, and the spinner is divided into three equal sections with the colors red, blue, and green. If Nolon rolls the cube and spins the spinner once, which list contains only outcomes in which the spinner lands on blue and a number less than 4?

• A. Blue, 1

  Blue,2

  Blue, 3

• B. Blue, 1

  Blue, 2

  Blue, 3

  Blue, 4

• C. Blue, 4

  Blue, 5

  Blue, 6

• D. Blue, 1

  Blue, 1

  Red, 2

  Red, 2

  Green, 3

  Green, 3

Make a prediction based on an experiment

make predictions and determine solutions using experimental data for simple and compound events.[7.6C]

Next Two Problems

Q2. Felicia flipped three coins during a probability experiment. The outcomes of the first 80 trials are shown in the table.

Based on the information in the table, in how many of the next 240 trials will the outcome be exactly 1 of the coins showing heads?

A. 78

B.96

C. 42

D.24

Multiple Choice

Q2. Felicia flipped three coins during a probability experiment. The outcomes of the first 80 trials are shown in the table.

Based on the information in the table, in how many of the next 240 trials will the outcome be exactly 1 of the coins showing heads?

• A. 78

• B. 96

• C. 42

• D. 24

Q3. The spinner shown has eight congruent sections.

The spinner is spun 104 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

A. 65

B. 39

C. 52 

D. 21

Multiple Choice

Q3. The spinner shown has eight congruent sections.

The spinner is spun 104 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

• A. 65

• B. 39

• C.52

• D. 21

Theoretical probability and their complements

solve problems using qualitative and quantitative predictions and comparisons from simple experiments.[7.6H]

Q4. If the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with an even number?

      A. $\frac{3}{8}$    B. $\frac{1}{4}$  C.  $\frac{1}{2}$  D.  $\frac{4}{7}$  

Multiple Choice

Q4. If the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with an even number?

• A. $\frac{3}{8}$

• B. $\frac{1}{4}$

• C. $\frac{1}{2}$

• D. $\frac{4}{7}$

Q5. The table shows the different types of snacks sold at a movie theater on a Monday.

If the movie theater has 80 customers on Tuesday, which prediction is NOT supported by the data in the table?

A. The number of candy sold will be 6 less than the number of popcorn sold.

B. The number of Popcorn sold will be 14 more than the number of candy sold

C. There will be a total of 36 candy and nachos sold

D. The difference between the number of popcorn sold and the number of pickles sold will be 28

Multiple Choice

Q5. The table shows the different types of snacks sold at a movie theater on a Monday.

If the movie theater has 80 customers on Tuesday, which prediction is NOT supported by the data in the table?

• A. The number of candy sold will be 6 less than the number of popcorn sold.

• B. The number of Popcorn sold will be 14 more than the number of candy sold

• C. There will be a total of 36 candy and nachos sold

• D. The difference between the number of popcorn sold and the number of pickles sold will be 28

Multiple Representations on Probability

select and use different simulations to represent simple and compound events with and without technology.[7.6B]

Q6. Jennifer has 22 pictures in an album. Of these pictures, 10 show her friends, 6 show her family, and 6 show only Jennifer. Jennifer is in  $\frac{1}{2}$  of the pictures that show her friends and   $\frac{1}{2}$   of the pictures that show her family.

Based on this information, which statement is true?

A. The probability of randomly selecting a picture that show Jennifer and her family is 20%.

B. The probability of randomly selecting a picture that show Jennifer by herself  is less than the probability of selecting a picture of Jennifer and her family.

C. The probability of randomly selecting a picture that shows Jennifer with her family is 2 times the probability of random selecting a picture that shows only Jennifer.

D. The probability of randomly selecting a picture that shows Jennifers family is equal to the probability selecting a picture that shows only  Jennifer.

Multiple Choice

Q6. Jennifer has 20 pictures in an album. Of these pictures, 10 show her friends, 6 show her family, and 4 show only Jennifer. Jennifer is in  $\frac{1}{2}$   of the pictures that show her friends and  $\frac{1}{2}$ of the pictures that show her family.

Based on this information, which statement is true?

• A. The probability of randomly selecting a picture that show Jennifer's family is 20%.

• B. The probability of randomly selecting a picture that show Jennifer by herself  is less than the probability of selecting a picture of Jennifer and her family.

• C. The probability of randomly selecting a picture that shows Jennifer with her family is 2 times the probability of random selecting a picture that shows only Jennifer.

• D. The probability of randomly selecting a picture that shows Jennifer with her family is equal to the probability selecting a picture that shows only  Jennifer. family

Open Ended

In your own words describe what probability is and what it calculates.

Q7. Karen has two flower pot of flowers. Each pot contains 13 daisies. Flower pot S contains 30 flowers. Flower pot T contains 13 flowers. Which statement is true?

 A. The probability of randomly selecting a daisy from Flower pot S is less than the probability of randomly selecting a daisy from Flower pot T. 

B. The probability of randomly selecting a daisy from flower pot  S is 1.

C. The probability of randomly selecting a daisy from  Flower pot S is equal to the probability of randomly selecting from Flower pot  T

D. The probability of randomly selecting a daisy from Flower pot S is  $\frac{1}{3}$  

Multiple Choice

Q7. Karen has two flower pot of flowers. Each pot contains 13 daisies. Flower pot S contains 30 flowers. Flower pot T contains 13 flowers. Which statement is true?

• A. The probability of randomly selecting a daisy from Flower pot S is less than the probability of randomly selecting a daisy from Flower pot T.
  

• B. The probability of randomly selecting a daisy from flower pot  S is 1.
  

• C. The probability of randomly selecting a daisy from  Flower pot S is equal to the probability of randomly selecting from Flower pot  T
  

• D. The probability of randomly selecting a daisy from Flower pot S is  $\frac{1}{3}$  

Q8. Cailor has 5 pink shoelace,1 blue shoelace, and 4 purple shoelace in a box. She will randomly choose 1 shoelace from the box.

What is the probability Cailor  will choose a pink shoelace?

                 A. $\frac{1}{10}$    B. $\frac{1}{2}$     C. $\frac{9}{10}$     D. $\frac{5}{5}$  

Multiple Choice

Q8. Cailor has 5 pink shoelace, 1 blue shoelace, and 4 purple shoelace in a box. She will randomly choose 1 shoelace from the box.


What is the probability Cailor will choose a pink shoelace?

• A. $\frac{1}{10}$  

• B.  $\frac{1}{2}$  

• C.  $\frac{9}{10}$  

• D.   $\frac{5}{5}$  

Q9. A bag contains colored blocks.

2 red blocks

5 yellow blocks

1 green blocks

What is the probability of selecting a red block?

Be careful when putting your answers on a grid

Multiple Choice

Q9. A bag contains colored blocks.

2 red blocks

5 yellow blocks

1 green blocks

What is the probability of selecting a red block?

Q10. Fatima is setting up tables for a party. three of the tables are covered with Purple tablecloths, and nine of the tables are covered with Pink tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 5 guests. What is the probability that the first guest to arrive will be seated at a table with a Purple tablecloth?

                         A. $\frac{1}{2}$    B.   $\frac{1}{3}$     C.  $\frac{1}{8}$     D.  $\frac{1}{4}$  

Multiple Choice

Q10. Fatima is setting up tables for a party. three of the tables are covered with purple tablecloths, and nine of the tables are covered with pink tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 5 guests. What is the probability that the first guest to arrive will be seated at a table with a purple tablecloth?

• A. $\frac{1}{2}$

• B. $\frac{1}{3}$

• C. $\frac{1}{8}$

• D. $\frac{1}{4}$

Percent Change

Proportions

Q11. The price of a hat was reduced from $25 to $10. By what percentage was the price of the hat reduced?

A. 40% 

B. 60%

C. 25%

D. 67%

Multiple Choice

Q11. The price of a hat was reduced from $25 to $10. By what percentage was the price of the hat reduced?

• A. 40%

• B. 60%

• C. 25%

• D. 67%

Linear Equations

Multiple Representations

Multiple Choice

Q12 Which of the following tables can be generated from the equation y = 2 x + 1?