8th Grade
Find the value of the expression:
35
243
Which type of function is represented by the equation
y=7x2+2?
Quadratic
f(x)=sqrt x
x = all non-negative real numbers,
yo= all non-negative real numbers
Use the quadratic formula to find the roots of the following quadratic.
-5x2+18x-24=0
x=(9 plus or minus sqrt39)/5
Evaluate the square root of 64/225.
8/15
Give the expanded form of the factored quadratic
(x-3)(x+5)
x2+2x-15
f(x)=2x-1
g(x)=x2+1,
Find g(f(x)). Give your answer in expanded form.
g(f(x))=4x2-4x+2
Factor the following polynomial given one factor. Identify all roots.
f(x)=5x3+21x2-21x-5, given x+5
(x+5)(5x+1)(x-1)
x=-5, x=-1/5, x=1
Evaluate 2x-5+3x+8=18 for the given variable.
x=3
Give the factored form of the following expanded form quadratic.
24x2-30x-9
3(2x-3)(4x+1)
Give the explicit formula for a sequence with the following terms:
{2, 6, 18, 54, 162}
an=2(3)n-1
Solve the following equation for x. Give your answer in logarithmic form.
10=0.5ex
x=ln20
Find the rate of change for the set of values provided.
x1=1, y1=217
x2=2, y2=434
x3=3, y3=651
x4=4, y4=868
m=217
Solve the equation 100=8x2 for x. Your answer should be fully reduced and rationalized.
Solve the equation for all possible values of x.
|8x+6|=46
x=5, x=-6.5
Identify the vertical and horizontal asymptotes and the x intercepts found in the following function.
f(x)=(3x2-12x)/(x2-2x-3)
Vertical asymptotes at x=-1, x=3
Horizontal asymptote at y=3
x-intercepts at x=0, x=4
Use the Pythagorean Theorem to find the unknown lengths.
If a=8 and b=15, c=_____.
c=17.
Solve for x in the equation. Your answer should be fully reduced and rationalized.
500=0.5(6)x2
x=(10 sqrt 15)/3
Solve the system for x and y.
y=6x-11
-2x-3y=-7
Find cotθ if if secθ =(5/3)
HINT: Draw the triangle
cotθ =3/4