Pythagorean Theorem
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100

Karin drew three right triangles. The hypotenuses of the triangles are listed below. Write the hypotenuse lengths in order from longest to shortest.

ABC=2.5, RST=sqrt2,   XYZ=sqrt5

2.5,sqrt5,sqrt2

100

What is the slope of the line on the graph?

m=-7/8

100

Trystan purchased a cylindrical vase, shown below, to go with a dozen roses he ordered at the flower shop. Write an expression that can be used to estimate B, the area of the base of the cylindrical vase. Use 3.14 for pi. Note: 

V=Bh

B=(3.14)*2^2

100

A company prints and mails photographs uploaded to their website. They charge 19 cents for each print and $3.50 for shipping and handling. The website used the following equation to invoice the customer, where c is the total cost of an order and p is the number of prints in the order. If Bailey orders 48 prints, what amount will the website put on her invoice. 

C=0.19p+3.50

$12.62

100

Triangle JKL is to be translated 2 units right and 3 units down to form triangle J'K'L'. What effect will the transformation have on each point on the triangle?

(x,y)->(x+2,y-3)

100

It is estimated that there are about 16,300,000,000 neuron in the cerebral cortex, the part of the human brain where our conscious thinking happens. Write the expression that represents this estimate in scientific notation.


1.63*10^10

200

Eli is playing golf. He is 17 meters away from the ninth hole. He hits the ball, and it lands 8 meters away from the hole, as shown in the diagram below. What is the length of the missing side?

 

15m

200

A hot dog stand sells an average of 30 hot dogs per hour on a busy day. If the stand starts with 1,000 cardboard holders at opening and uses one holder per hot dog, which table represents the relationship between h, the hours open, and c the cardboard holders, remaining at the hot dog stand?

C

200

Margaret drew a circle with a diameter that is 1/3 that of circle G. How does the area of the new circle compare to that of circle G.

 

1/9 of the area of circle G

200

Ari adds 16 ounces of chocolate chips to a batch of cookie dough that makes 26 cookies. if the number of chips in each cookie is approximately the same, write an equation that could be used to find c, the number of ounces of chocolate chips in 4 cookies. 

C=4(16/36)

200

Triangle ABC is to be reflected over the x-axis to form triangle A'B'C'. What effect will the transformation have on each point on the triangle?



(x,y)->(x,-y)

200

What is the solution to the system of equations in the graph below. Write as a coordinate.

(-4,-2)

300

Caleb is standing 10.5 feet from his school building, and the school building is 12.3 feet tall. What is approximate distance between W, the point on the ground where Caleb is standing, and X, the top of the school building? Round answer to TENTHS place.

16.2 ft

300

Which of the following are graphs of functions?

Graph S, U, and V only

300

The total surface area of a cylinder is 786 cubic centimeters. The area of each of the cylinders bases is 48 square centimeters. What is the cylinders lateral surface area?

690 cm^2

300

Kara and Michelle made the same amount of money one day. Each earned a base pay plus a certain amount per hour. Which of the following situations could you model using the equation

5.60+4.20x=5.10x+6.20

G

300

Triangle EFG is to be dilated using a scale factor of 8/9 to produce triangle E'F'G'. The origin will be the center of dilation. Write the coordinate transformation.

(x,y)->(8/9x,8/9y)

300

Josh is designing a house. He wants the master bedroom to be a square with an area of 150 square feet. Which number line indicates the approximate length of each bedroom wall?

400

Which set of coordinates could you use to draw the vertices of a right triangle with a hypotenuse having the same slope as LM, the hypotenuse of the triangle on the graph below?

(-6,6),(2,0),(-6,0)

400

Teri works at a bakery. She decorates 18 cookies in 27 minutes. Which of the following expresses the same rate of decorating cookies?

J: 24 cookies in 26 minutes.

400

A spherical exercise ball has a diameter of 2 feet. What is the volume of the ball? Use 3 for pi.

4 ft^3

400

The graph compares the number of customers at a frozen yogurt shop to the temperature on various days. They yogurt shop manager check the forecast and sees that tomorrow's expected temperature is 87. If they drew a trend line on the graph, how many customers would they most likely predict will visit the yogurt shop tomorrow?

Between 150-175 customers

400

Square C represented on the coordinate grid below is to be rotated 270 degrees clockwise about the origin. What effect will the transformation have on each point? on the square?

(x,y)->(-y,x)

400

Nathan designs two triangular flowerbeds for his yard. The diagram below represents his designs. What must the value of x be in order for the perimeter of each flowerbed to be the same?

X=3.3

500

Find the perimeter of a right triangle that has a leg of 11 inches and a hypotenuse of 61 inches. 

P=132

500

Which of the following represents a linear relationship between x and y?

500

The are of each shaded base of the triangular prism is 17.3 square centimeters. What is the total surface area of the prism.

237.3 cm^2

500

Dale wants to borrow $8,500 to buy a car. The First Savings Bank offers him a 3-year loan with equal monthly payments of $249.82. The Star Security Bank offers him a 4-year loan with equal monthly payments of $190.78. How much more in total interest will the 4-year loan cost him?

$163.92

500

Vincent drew a rectangle on a coordinate grid. How could he transform the rectangle to produce an image that is NOT congruent to the original image?

H: Dilate it by a scale factor of 5

500

Catarina counted the number of cars in a parking lot at 3 PM each day for one week. The table shows her results. What is the mean absolute deviation for her data set, rounded to the nearest tenth. 


MAD=12.1

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