Pythagorean Theorem
A right triangle has legs of lengths 3 cm and 4 cm. What is the length of the hypotenuse?
The hypotenuse is 5 cm long.
Solve the System:
y = 2x + 1
y = 2x + 5
No solution
Find the volume of a cylinder with radius 3 cm and height 10 cm. Use 3.14 for π. Round to the nearest tenth.
The volume of the cylinder is approximately 282.6 cm³
Write 5,000 in scientific notation.
5 x 10³
A right triangle has legs 6 cm and 8 cm. What’s the hypotenuse?
The hypotenuse is 10 cm long.
A ladder is leaning against a wall. It reaches 12 feet up the wall and its base is 5 feet from the wall. How long is the ladder?
The ladder is 13 feet long.
Solve the System of Equations:
y = x + 3
y = -x + 5
One Solution: (1,4)
A cone has a radius of 4 cm and a height of 9 cm. Find its volume. Use 3.14 for π. Round to the nearest tenth.
The volume of the cone is approximately 150.7 cm³.
Write 81,000 in scientific notation.
8.1 x 10⁴
Solve by substitution:
y = x - 2
2x + y = 10
One Solution: (4,2)
A right triangle has a hypotenuse of 17 cm and one leg is 8 cm. What is the length of the other leg?
The other leg is 15 cm long.
Solve the System of Equations:
2x + y = 7
x - y = 2
One Solution: (3,1)
A cone has a diameter of 6 cm and a height of 12 cm. What is its volume? Use 3.14 for π.
The volume of the cone is approximately 113.0 cm³
Multiply:
( 3 x 10⁴)(2 x 10²)
6 x 10⁶
Find the volume of a cone with radius 3 cm and height 4 cm. Use 3.14 for π. Round to the nearest tenth
The volume of the cone is approximately 37.7 cm³
A square garden has a diagonal measuring 10 cm. What is the length of one side of the garden? Round to the nearest hundredth.
Each side of the garden is approximately 7.07 cm long.
A movie theater sold 40 tickets for $480. Adult tickets cost $15 and child tickets cost $10. How many of each ticket were sold?
They sold 16 adult tickets and 24 child tickets.
A cylinder has a volume of 1,130.4 cm³ and a height of 6 cm. What is the radius of the base? Use 3.14 for π. Round to the nearest hundredth.
The radius is approximately 7.74 cm
Divide:
(4.5 x 10⁶) / (1.5 x 10²)
3 x 10⁴
Write 37,000,000 in scientific notation.
3.7 x 10⁷
Liam ties one end of a rope to the top of a tree and the other end to a spot on the ground 9 meters away. The rope is 15 meters long. How tall is the tree?
The tree is 12 meters tall
A school fundraiser sold 50 food vouchers totaling $640. Large meal vouchers cost $14 and small meal vouchers cost $10. How many of each type of voucher were sold?
They sold 35 large vouchers and 15 small vouchers.
A cone has a slant height of 26 cm and a radius of 10 cm. What is the height of the cone?
( Hint: Use Pythagorean theorem to solve)
The height of the cone is 24 cm.
A spacecraft travels at a speed of
2.5 x 10⁵ miles per hour. If it travels for 4.8 x 10² hours, how far does it go? Express your answer in scientific notation.
The spacecraft travels 1.2 x 10⁸ miles
A cone has a volume of 2,500 cm³ and a height of 10 cm. What is the radius? Use 3.14 for 𝜋
The radius is approximately 15.5 cm.