Operations on x
Exponents
Averages
Probability
Miscellaneous
100
(1/4)x = 9

x = 36

100

(-5)0

1

100

What is the mean of the following set of numbers?

-2   3   7   9   -5   0

The mean is 2

100

Sarah rolls a 6 sided dice. What is the theoretical probability that Sarah will roll a 3? 

17% chance 

100

Determine whether the following numbers form a Pythagorean triple: 8, 15, 17


Be sure to show work! 

Yes, 82+152=17so 8, 15, 17 form a Pythagorean triple. 

200

-2(x-3) = 20

x = -7

200

6x2 - 2x2

4x2

200

What is the mode of the following set of numbers?

-2   3   7   9   -5   0

No mode

200

If a coin is flipped 70 times, how many times would you predict the coin would land on heads? 

35 times

200

Combine like terms and simplify as much as possible: 

4√2x + 3√2x


7√2x

300

What is the inverse of multiplying by 2?

Dividing by 2

300

6x2•2x2

12x4

300

What is the median of the following set of numbers?

-2   3   7   9   -5   0

The median is 1.5
300

Ben flipped a coin 12 times and got heads 5 times. What type of probability did Ben use? He concluded that he landed on heads 5% of the time. Is Ben correct? 

Ben used experimental probability. Ben would land on heads 5/12 times or 42% of the time so the percent he calculated is incorrect. 

300

Tim lost 15% of his body weight. He now weighs 200 pounds. What was Tim's weight before he began losing weight? 

Tim weighed 235.29 pounds before losing the weight.

400

Undo the following operations to solve for x: 

1) Add 5

2) Divide by 2

You would need to...

1) Multiply by 2

2) Subtract 5

400

(4x3)2

16x6

400

A student's grade is calculated based on homework, projects, and a presentation. The homework is worth 20%, projects are worth 40% and the presentation is worth 40%. 

A student has grades in the following categories:

Homework: 60 

Projects: 85

Presentation: 70


What is the student's total grade? 

The student's grade is a 74%


400

 If a six-sided dice is rolled 600 times, how many times would you predict a roll of a 1 or a 6?

200 times 

400

It is quarter wing night. You bring $10 with you. You want to buy a large drink for $1.25. You have to pay a 6% tax on your food and drink. You are not leaving a tip. How many wings can you purchase?

You can buy 32 wings.

500

Undo the following operations to solve for x: 

1) Subtract 10

2) Multiply by 4

3) Divide by 6

You would need to ...

1) Multiply by 6

2) Divide by 4

3) Add 10

500

(2x2y3)3

8x6y9

500

A student's grade is calculated based upon three midterm scores and a final. Each midterm is worth 20% and the final exam is worth 40% of a student's grade. 

Calculate a student's grade if they scored the following: 

1) Midterm 1: 65%

2) Midterm 2: 80%

3) Midterm 3: 40%

4) Final: 75%

This student received a 67% in the class.

500
What is the difference between theoretical and experimental probability? 

Theoretical probability makes an assumption about something based on theory. 

Experimental probability deals with data from a specific instance. 

500

Four people are trapped on an island with 40 cups of rice. They want to split it up evenly based on the weight of each person. Who would receive the most cups of rice? How many cups would this person receive?

Ethan weighs 130 lbs

Pine weighs 120 lbs

Casey weighs 142 lbs

Tanner weighs 127 lbs 

Casey would receive the most cups of rice at 11 cups. 

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