Properties and Number Sets
For which value(s) is the expression undefined?
(x+5)/(x-3)
x = 3
Evaluate: -d[(b-c)-(b+c)]
if d =3, b = 2 and c = -5
-30
How many faces are on a hexagonal pyramid?
7
Find the LCM of 14w5x6y4 and 63x8y3
126w5x8y4
Write in scientific notation:
349,000 * 10^-9
3.49 * 10^-4
Which property assures that the product of two even numbers is even?
Closure Property
Write the equation of the line passing through (4, 9) and (4, -2)
x = 4
Find the volume of a cone whose height is 6 meters and radius is 5 meters.
50pi
m^3
Simplify:
2/3 + 2/7
20/21
Name three of the first four Pythagorean triples
3-4-5
5-12-13
7-24-25
8-15-17
Solve AND state the property used to solve:
(x+5)(x-4)=0
x = -5 or x = 4; Zero Product Property
Solve:
x-2(x-2)=-5-(3x+3)
x = -6
"A sphere's surface area is " 400pi "m^2. Find its exact volume"
(4000pi)/3 " m^3"
Simplify:
(x-5)/(10-2x)
-2
Evaluate:
-3^3-(-3)^3-3^2-abs((-2)^2-2^3)
-13
To which number set(s) does the number belong?
22/7
Real, Rational
Write as a reduced fraction:
.bar18
2/11
A cylinder's diameter is 10 inches and height is 14 inches. Find its surface area.
190pi " square inches"
Simplify:
1/(y^2z)-(x+3)/(yz^3)
(z^2-xy-3y)/(y^2z^3)
What is the interior angle sum for a dodecagon?
1800 degrees
Simplify:
(12div6*2-(1/4)^-1)/((pi-5)^0-1)
indeterminate
Suppose an angle's measure is x + y + z degrees. What is its complement?
90 - x - y - z degrees
Find the surface area of a cone with radius 3 meters and height 4 meters.
24pi " square meters"
Simplify completely. Give answer as a single fraction.
3x^-2 + 4y^-1
(3y+4x^2)/(x^2y)
Find three consecutive integers such that when the third is subtracted from five times the first, the result is sixty three more than the second.
22, 23, 24