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Pythagorean Theorem

100

A right triangle has legs that are 3 inches and 4 inches long. What is the length of the hypotenuse?

5 inches

200

A ladder is leaning against a wall. The ladder is 10 feet long and the bottom is 6 feet from the wall. How high up the wall does the ladder reach?

8 feet

300

A rectangular park is 24 meters long and 7 meters wide. What is the distance from one corner of the park to the opposite corner?

25 meters

400

A right triangle has a hypotenuse of 25 cm and one leg of 7 cm. Find the length of the missing leg.

24 cm

500

A baseball diamond is shaped like a square with sides of 90 feet. About how far is it from home plate to second base? Round to the nearest tenth if needed.

127.3 feet

Equations

100

x+7=15

x=8

200

5x=45

x=9

300

2x+6=18

x=6

400

4x−9=19

x=7

500

3(x−2)+5=20

x=7

Volume

100

Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm. Use π≈3.14. Don't forget to cube your answer

141.3 cm cubed

200

Find the volume of a cone with a radius of 4 m and a height of 6 m. Use π≈3.14 Remember to cube your answer.

100.48 m cubed

300

Find the volume of a sphere with a radius of 3 inches. Use π≈3.14 Remember to cube your answer.

113.04 in cubed

400

A cylinder has a diameter of 12 cm and a height of 8 cm. Find the volume. Use π≈3.14 Don't forget to cube your answer

904.32 cm cubes

500

A cone has a volume of 251.2 m cubed and a radius of 4 m. Find the height. Use π≈3.14.

15 m

Scientific Notation

100

Write this number in standard form: 4.5×10³

4,500

200

Write this number in standard form: 7.2×10⁵

720,000

300

Write this number in scientific notation: 56,000

5.6 x 10⁴

400

write 3,459,00 in scientific notation

3.45 x 10⁶

500

write this in scientific notation 892,000,000

8.92 x 10⁸

Slope

100

Identify the slope in the equation below: y=3x+7

The slope is 3

200

dentify the slope and y-intercept in the equation below: y=-2x+5

Slope: -2

Y Int: 5

300

Write an equation in slope-intercept form for a line with a slope of 4 and a y-intercept of −1

y=4x-1

400

What does slope tell you about a line?

The steepness of the line, and whether or not it is positive or negative. The change in y compared to the change in x

500

A line goes through the points (2,3) and (6,11). Find the slope.

m= 8/2 or 4