CH 6: Real Numbers and Pythagorean Theorem
CH 7: Surface Area and Volume
CH 8: Probability and Statistics
Word Problems
Random Draw
100

What is the pythagorean theorem and what kind of shape would you use it with?

 a² + b² = c² ; Right triangle

100

A. What is the formula for finding the surface area of a rectangular prism?

B. What is the formula for finding the volume of of a rectangular prims?

A. 2lw + 2lh + 2wh


B. L x W x H

100

Find the mean, median, and mode of the data set:

0.2, 6.9, 4.5, 2.4, 2.4, 5.2, 0.8

Mean: 3.2

Median: 2.4

Mode: 2.4

100

A gym charges a $15 sign-up fee plus $8 per month.
Write an equation to represent the total cost C after M months.
Then, find how much it will cost after 6 months.

Equation: C = 8m + 15


After 6 Months: C = 8(6) + 15 = $63

100

What is the difference between an expression and equation?

Expressions do not use an equal sign. You can only get them into their simplest form. 

200

What is the square root of 1?

1

200

What is the surface area of a rectangular prism with the dimension:   L = 8, W = 3, and H = 5

158 sq. in.

200

Find the range and interquartile range of the data set:

100.2, 114.9, 111.5, 105.4, 141.7

Range: 41.5

IQR: 25.5

200

A car travels 180 miles in 3 hours at a constant speed.
a) What is the unit rate (miles per hour)?
b) How far will the car travel in 5 hours at this same speed?

A) 60mph

B) 300miles

200

A. What is point-slope form?

B. What two things must you know to write an equation in point-slope form?

A. y - y1 = m (x - x1)

B. The slope and any point on the line. 

300

What is the negative square root of 9/25

-3/5

300

A. What is the formula for finding the surface area of a right cylinder?

B. What is the formula for finding the volume of a right cylinder?

A. 2πr² + 2πrh 


B. πr²h

300

The bar graph shows the results of spinning a spinner 100 times. 

What is the experimental probability of spinning an even number?

39/100, 0.39, 39%

300

A ladder is leaning against a wall. The bottom is 9 ft from the wall and the ladder is 15 ft long.
How high up the wall does it reach?

12ft

300

Is the following a function? If so, is it linear or nonlinear?

Yes, it is a function. There are no repeating x values (use the vertical line test)

It is nonlinear

400

Find the missing side:  

Leg = 12, Leg = 35, Hypotenuse = ?

C = 37

400

Find the lateral surface area of the cylinder:

39π sq yd or 113 sq yd

400

A. What is the formula for independent events?

B. What is the formula for dependent events?

A. P(A) x P(B) - Probability of A times the probability of B

B. P(A) x P (B after A) - Probability of A times the probability of B after A is removed

400

A cruise ship can hold up to 2855 people. There are 985 crew members on the ship.

A. Write and solve an inequality that represents the additional number of people who can board the ship.

B. Can 1870 more people board the ship?

A. p + 985 < 2855

B. Yes, 2855 < 2855

400

Solve the following equation for y:

A. 6 = 4x + 9y

B. Which two linear equation forms did we just convert between?


A. y = 2/3 - 4/9x


B. Standard to Slope-Intercept

500

You want to border a flower bed in the shape of a right triangle. You have three pieces of wood that measure3.5 meters, 1.2 meters, and 3.9 meters. Do these pieces of wood form a right triangle? If not, explain how you could cut the longest piece to make a right triangle. 

No; Cut 0.2 off

500

You triple the radius of a cylinder. How many times greater is the volume of the new cylinder?

9

500

Give me an example of a population and sample. 

Population - Group as a whole

Sample - smaller group within the population

500

 

A. 4.20

B. y = 1.4x; the slope shows that the cost per pound of sunflower seeds is $1.40.

C. No, you can always increase the cost by increasing the amount of seeds bought. 

500

DAILY DOUBLE (Double Points)

Solve the equation for x:

2x + 4 = -(-7x + 6)

X = 2