Factoring/Simplifying
Factor the following: 9x2-144
What is (3x+12)(3x-12)
Simplify the following: [(x+5)(x+4)]/[(x+3)(x+5)]
What is x+4/x+3
Simplify and state all restrictions:
[10a3b/12a][3ab/10b2]
What is a3/4, a cannot equal 0, b cannot equal 0.
Find the lowest common denominater for the following expression:
[x+9/x-3]+[x-12/x+1]
What is (x-3)(x+1)
Simplify the following:
(x2-25)/(x+5)(x-5)
What is 1
Factor the following: 25x2 -121x
What is x(5x-11)(5x+11)
Simplify [x2+9x+20]/x2+8x+15]
What is x+5
Simplify and state all restrictions:
[3x+9/x2+3x-10][x2+6x+8/x2-9]
What is [3x2+18x+24/x3-19x+30], x cannot equal 3, -3
For two rational numbers in simplified form, the LCD is always:
a.) One of the denominators
b.) The product of the denominators
c.) None of the above
What is C, none of the above. It is the lowest common multiple for each denominator.
State the restrictions for the following expression:
18/[(2x-4)(2x+10)(16x+4)]
What is -5, -0.25, 2
Expand the polynomial:
[6x+5][x-5]
What is 6x2-25x-25
Are the following equivalent:
g(x)=-3x3+9+x+2x2+9x2+8x+1
f(x)=-3x3+2x+2x2+7x+6x2
What is no they are not equivalent
Adam is in the finals of the Arthur Viper's math contest. He is very puzzled by the question of
[8a-64b/ab2]/[5a-40b/25a]. The Arthur Vipers give Adam one phone call to help him and he calls you! Will you save his destiny?
What is 40/b2, a cannot equal 0, 8 and b cannot equal 0
State the restrictions of the following expression:
[4x-1/x2+4x+4]-[7x+1/x2-2x-35]+[4x+9/x2-12x+32]+[9x2+7/2x2+x-10]
What is -5,-2,-5/2,-2,6,7
Determine the area of a triangle with a base of x+9/x2+17x+72 and height of 3x-3/x+2. Remember to state restrictions.
What is 3x-3/[(x+2)(2x+16)], x cannot equal -9, -8, -2.
Expand the following:
[3x2+4x-32][2x2+8x+12]
What is 32x3+10x2-208x-384
Are the following equivalent?
f(x)=-x5+x5+4x2+x3-17-3x
g(x)=x3+3x+24-41+x2-6x+3x2
What is yes they are equivalent
Simplify the following:
[30a2+2ab-4b2/4b-28a] multiplied by
[14a2-16ab+2b2/10a2+14ab+4b2]
What is [3a2-4ab+b2/2a+2b]
A fence is being built and has a length of [2x/6x+1]. If a tsunami destroys [x/6x+1] much of the fence and if Ben the builder repairs [102x+1/3x+2] how much fence is there left?
What is [615x2+110x+1/(6x+1)(3x+2)]
Ben is training for an arm wrestling competition. His arm strength is represented by "s". It increases at a rate of (3x2+5x+2)/(3x2-10x-8) with x representing the number of hours he trains. If he trains for 65 hours, what is his new strength?
What is 101.08 pounds of arm strength.
The area of a rectangular field is A=7x2+32x+112. What is the perimeter of the field?
What is 16x+16
Are the following equivalent?
g(x)=3(2x-3)(x+1)
f(x)=2(x+2)(3x-2x)
What is no they are not equivalent.
An object has a mass of [p+4/12p+4] and a density of [4p2-4/36p2+24p+4]. Determine the objects's volume where v=m/d.
What is [3p2+13p+4/4p2-4]
The square ABCD has side lengths of [-4x-2/x+2], 2x, [2x+1/6x+1] and [3x+1/6x+1]. What is the perimeter?
What is [6x3-6x2-2x+2/(x+2)(6x+1)]
Simplify the following using BEDMASS and state restrictions:
[4x-10/2x2-4x-30]+[6x/2x2+2x-60] [2x2+16x+24/2x+6]
What is [3x2 +8x-5]/[(x+3)(x-5), x cannot equal -6, -3, 5