Math

9th Grade A

9th Grade B

9th Grade C

9th Grade D

100

Find the value of the expression:

3^{5}

243

100

Which type of function is represented by the equation

y=7x^{2}+2?

Quadratic

100

State the domain and range of the function

f(x)=sqrt x

x = all non-negative real numbers,

yo= all non-negative real numbers

100

Use the quadratic formula to find the roots of the following quadratic

-5x^{2}+18x-24=0

x=(9 plus or minus sqrt39)/5

100

Find the inverse of the following equation:

(5^{x})+27 = 52

2

200

Evaluate the square root of 64/225.

8/15

200

Give the expanded form of the factored quadratic

(x-3)(x+5)

x^{2}+2x-15

200

Given the functions

f(x)=2x-1

g(x)=x^{2}+1,

Find g(f(x)). Give your answer in expanded form.

g(f(x))=4x^{2}-4x+2

200

Factor the following polynomial given one factor. Identify all roots.

f(x)=5x^{3}+21x^{2}-21x-5, given x+5

(x+5)(5x+1)(x-1)

x=-5, x=-1/5, x=1

200

How do you tell if a function has an inverse?

horizontal line test

300

Evaluate 2x-5+3x+8=18 for the given variable.

x=3

300

Give the factored form of the following expanded form quadratic.

24x^{2}-30x-9

3(2x-3)(4x+1)

300

Give the explicit formula for a sequence with the following terms:

{2, 6, 18, 54, 162}

a_{n}=2(3)^{n-1}

300

Solve the following equation for x. Give your answer in logarithmic form.

10=0.5e^{x}

x=ln20

300

In a sector of a circle (radius=17 in), with an angle measure of 120 degrees, find the area of the sector.

302.6 in²

400

Find the rate of change for the set of values provided.

x_{1}=1, y_{1}=217

x_{2}=2, y_{2}=434

x_{3}=3, y_{3}=651

x_{4}=4, y_{4}=868

m=217

400

Solve the equation 100=8x^{2} for x. Your answer should be fully reduced and rationalized.

(5 sqrt 2)/2

400

Solve the equation for all possible values of x.

|8x+6|=46

x=5, x=-6.5

400

Identify the vertical and horizontal asymptotes and the x intercepts found in the following function.

f(x)=(3x^{2}-12x)/(x^{2}-2x-3)

Vertical asymptotes at x=-1, x=3

Horizontal asymptote at y=3

x-intercepts at x=0, x=4

400

Knowing the equation of a circle is (x-h)^2 + (y-k)^2=r^2, find the radius and center of the following equation:

(x − 16) 2 + (y − 6) 2 = 1 Translated 4 left, 2 up

(x − 12)^2 + (y − 8)^2 = 1

500

Use the Pythagorean Theorem to find the unknown lengths.

If a=8 and b=15, c=_____.

c=17.

500

Solve for x in the equation. Your answer should be fully reduced and rationalized.

500=0.5(6)x^{2}

x=(10 sqrt 15)/3

500

The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?

128 ft

500

What are the dimensions of the square that has the perimeter and the area equal in value?

square with side length = 4 units

500

In a circle, a square has all its vertices on the circle and is inside of it. The area of the square is equal to 400 square cm. What is the area of the circular shape?

200 cm^{2}