Understanding Numbers
How do you say this number:
170456
One hundred seventy thousand, four hundred fifty six
(-4)3 =
-64
What do we call a 3 dimensional circle?
(Say and spell it)
Sphere
How do you find the circumference of a circle?
C = 2(3.14...)r
or pi multiplied by the diameter
The hypotenuse of a triangle is 45 cm. The triangle is reduced by a scale factor of 1/5. What is the length of the hypotenuse of the new triangle?
9 cm
What are the factors of 15?
1, 3, 5, 15
Another way to say "x to the power of two" is ______.
x squared
What angle do two perpendicular lines meet?
90 degrees, right angle
A right triangle has a base of 3cm and a height of 5cm. What is the length of the hypotenuse?
(Answer to the nearest HUNDREDTH)
5.83 cm
What does it mean when two shapes or figures are similar? (In math terms)
The two shapes must have:
corresponding sides that have proportionate ratios
corresponding angles are equal
What is a prime number?
Give an example of a prime number.
A prime number is a number that can only be divided by 1 and itself
43
What is the base? What is the exponent? What is the power?
4 is the base
3 is the exponent
43 is the power
What are the names for a 5 sided, 6 sided, 7 sided, 8 sided, 9 sided, and 10 sided two dimensional shape?
(Say all 6 names)
pentagon, hexagon, heptagon, octagon, nonagon, decagon
A rectangular prism has a height of 5cm, a length of 6cm, and a depth of 4cm. What is the surface area of the prism?
148cm2
(half points if you forgot the "squared")
Simplify the polynomial by adding, subtracting, and combining like terms
(x2 + 4x - 7) + (2x2 - 3x + 4)
3x2 + x - 3
True or False: An integer can only be a positive, whole number
False: Integers include zero, all positive whole numbers and all negative whole numbers {...-3,-2,-1,0,1,2,3...}
(am)n
How can we simplify this expression?
Multiply the exponents (m and n)
"Power raised to an exponent" rule
What is the angle of rotation of a 5 pointed star?
72 degrees
What is the area of a circle that has a diameter of 18cm? (Answer to the nearest HUNDREDTH)
254.47cm2
(Half points if you forgot the "squared")
Rewrite the following polynomial so the degree of each term is in descending order
x2y - 2x3y - 3y2
2x3y - x2y - 3y2
Give an example of an irrational number and explain why it is irriational.
[(-7)2-(-2)6]2 =
225
How many vertices, edges, and faces does a triangular pyramid have?
4 vertices, 6 edges, 4 faces
What is the volume of cylinder with a radius of 2cm and a height of 6cm?
(Answer to the nearest HUNDREDTH)
75.40 cm3
(Half points if you forgot the "cubed")
How do you find the slope of a line?
m = (y₂ - y₁) / (x₂ - x₁)
rise / run
change in x / change in y