Exponents, radicals, and rationalizing
Simplify:
√25x13
5x6√x
Factor the GCF:
8x6+20x4+4x3
4x3(2x3+5x+1)
Subtract the following:
(-3x5+3x2-8x)-(6x5-5x2-4)
-9x5+8x2-8x+4
Find the x and y intercepts of the following equation:
7x+5y=-70
x intercept:(-10,0)
y intercept:(0,14)
What degree are quadratic equations?
2
Simplify:
(5y6)3/y-3
125y21
Factor:
x2-17x+72
(x-8)(x-9)
Multiply and simplify:
(x-5)(x2+3x+3)
x3−2x2−12x−15
Find the midpoint of the line segment (4,0) to (-3,-2).
(1/2,-1)
Solve the following inequality and give your answer in interval notation
|2x-7|>5
(-oo,1)u(6,oo)
Simplify
6√12-7√108+2√48
-22√3
Factor:
xy-30+6y-5x
(x+6)(y-5)
Multiply and simplify:
2x(3x+5)(x-2)
6x3−2x2−20x
Find the distance between the points: (4,6) and (-2,-3)
3√13
Solve the following inequality, graph a number line representing the answer, and write the answer in interval notation.
12x+7<7x-4
(-oo,-11/5)
Divide and simplify:
∜ (x9y10)/∜ x5y6)
xy
Factor:
8x4-24x3-320x2
8x2(x+5)(x-8)
Simplify:
(5x2+8x-4)/(5x2+13x+6) divided by
(5x2-17x+6)/(x2-2x-3)
(x+1)/(5x+3)
Find the equation of the line in point slope form that is parallel to 3x-4y=12 that passes through the point (-2,1)
y-1=(3/4)(x+2)
What are the zeros of the function 3x2-12x+7 using the quadratic equation?
(2+(√15)/3,0) and (2-(√15)/3,0)
Rationalize the denominator:
8/[(√10)+1]
8[(√10)-1]/9
Factor:
4x3+500
4(x+5)(x2-5x+25)
Simplify:
[1/(x2+4x+4)]-[1/(x2-2x-8)]
[-6/(x+2)2(x-4)]
Find the equation in slope-intercept form of a line perpendicular to y=2x-1 that passes through the point (6,5)
y=(1/2)x+2
Using completing the square, what are the zeros of the function x2-7x+4=0
((7+√33/2,0) and ((7-√33)/2,0)