Inequalities
Describe the solution set of the conjunction:
x< 4 and x > 6
No solutions
Simplify:
(x+5)^2
x^2+10x+25
What is the volume of a cube 5 inches on each side?
125 in3
Factor:
x^2-11x+28
(x-4)(x-7)
Two sides of a triangle are 5 inches and
sqrt26
inches long. The third side must measure between ______ and ______ inches.
sqrt 26 + 5 " and " sqrt26 - 5
Describe the solutions in interval notation:
x< 4 or x > 6
(-oo, 4) (6, oo)
Simplify:
5/(7sqrt3-1)
(35sqrt3+5)/146
What is the surface area of a hemisphere of radius 5 meters?
75pi m^2
Factor:
-12x^2-2x^3+32x
-2x(x + 8)(x - 2)
Multiply:
(2x^2-7)(5x-3)
10x^3-6x^2-35x+21
Describe the solution set of the conjunction:
-5 > -2x + 7 > -9, x in ZZ
{7}
Simplify:
(x^2- 5x - 14)/(x^2 - 4)-:(x^2-10x+21)/(x-2)
1/(x-3)
What is the measure of a single interior angle of a regular octagon?
135 degrees
Factor:
x^2(w+y)+2x^2(w+y)-35(w+y)
(w+y)(x+7)(x-5)
Solve:
abs(x+5)=8
x = -13 or x = 3
Write a negation for the statement:
2.5 is an even number.
2.5 is not an even number.
Find the quotient using long division:
(x^3-5x+8)div(x-2)
x^2+2x-1+6/(x-2)
What is the surface area of a cone of height 12 meters and and radius 5 meters?
90pi meters^2
Factor:
-162+2w^4
2(w^2+9)(w-3)(w+3)
State the solution set in interval notation:
-2abs(x) < 8
(-oo,oo)
Describe the solutions in interval notation:
x < -2 and x < 0
(-oo,-2]
Simplify, answer as a single fraction with no parentheses:
(3x^2-48)/(20-5x)
(-3x-12)/5
What is the surface area of a pyramid with a square base 10 meters on each side if the height is 12 meters?
360 meters^2
Factor. Write the factors with positive exponents only.
64x^3 - 9xa^-2
x(8x + 3/a)(8x - 3/a)
Simplify:
sqrt(200)-sqrt(50)+sqrt2(7+sqrt6)(7-sqrt6)
48sqrt2