Square Roots
Cube Roots
Approximating Square Roots
Pythagorean Theorem
Repeating Decimals and Using Pythagorean Theorem
100
Find the square root of -√256
-16
100
Find the cube root of ∛-64
-4
100
Classify the real number. √49
rational, integer, whole, natural
100
Find the length of the hypotenuse of a triangle with the leg lengths of 21 cm and 28 cm.
35 cm
100
Write the decimal as a fraction or a mixed number. 1.09, where the 09 are repeating.
1 1/11
200
Find the square root of √36/81
2/3
200
Find the cube root of ∛125/343
5/7
200
Classify the following number. -153/3
rational
200
Find the missing length of a triangle whose hypotenuse measures 7.3 in. and one leg is 4.8 in.
5.5 in.
200
Tell whether a triangle with the given side lengths is a right triangle. (31 in., 35 in., 16 in.)
not a right triangle
300
Evaluate the expression 12 - √16
8
300
Evaluate the expression 4 - ∛-216
10
300
Estimate the square root to the nearest integer. √60
8
300
In wood shop, you make a bookend that is the shape of a right triangle. It is 8 in. tall and has a hypotenuse of 10 in. What is the base of the the bookend?
6 in.
300
Find the distance between the following two points. (2,1) (-3,6)
√50 or 5√2
400
Solve the equation. (4x + 6) = 196
x = 2
400
Evaluate the expression 3∛27 - 16
-7
400
Which number is greater? -√18 or -6
-√18
400
In a right isosceles triangle, the lengths of both legs are equal. What is the length of one leg if the length of the hypotenuse is √72 meters.
6 meters
400
Write the following decimal as a fraction or a mixed number. 0.73 with only the 3 repeating.
11/15
500
A trampoline has an area of 49π square feet. What is the diameter of the trampoline?
14 feet
500
The volume of a cube is 729 cubic inches. What is the edge length of the cube?
9 in.
500
The velocity in meters per second of a ball that is dropped from a window at a height of 10.5 meters is represented by the equation v = √2(9.8)h Estimate the velocity of the ball. Round to the nearest tenth.
14.3 meters per second
500
Find the missing length of the figure.
65 cm
500
How far is the cabin from the peak?
5.8 km
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