Variations
Rational Expressions
Square Root Functions
Cube Root Functions
Polynomials
100

 Write the equation to the following information:

If y is directly proportional to x, and y =17.5. What does k = when x = 21?

What is k=.833

100

write the transformation:

f(x)= 1/x-3 + 2

What is right 3 and up 2

100

Factor completely

x- 64

what is (x-8)(x+8)

100

3√x+8 simplify 

already simplified 

100

√25x2

Simplify

5x

200

Find k to the following: If y varies jointly with y and z. When y = 90, x = 2, and z = 9.

What is k=5

200

what is the transformation: f(x)= 4/x+1

What is stretch 4 and left 1

200

Factor completely 

u+ 1

What is (u+1)(u2-u+1)

200

3√x-4=2

solve for x

x=12

200

√36y2

6y

300

The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8 gallons per minute, a hose can fill the tank in 45 minutes.How long will it take to fill the same tank at 15 gallons per minute? Write the equation you will use

What is T=360/15

300

The volume of a pyramid varies jointly with its height and the area of its base. A pyramid with the height of 16 feet and a base of 78 square feet has a volume of 416 cubic feet. If a pyramid has a base area of 102 square feet and a volume of 238 cubic feet, find its height.

Write the equation.

What is 238=(1/3)(h)(102)

300

Factor completely

8a2+27

What is (2a+3)(4a2-6a+9)

300

3√2x+1=3

x=13

300

√72x2y2

6xy

400

The volume of a pyramid varies jointly with its height and the area of its base. A pyramid with the height of 16 feet and a base of 78 square feet has a volume of 416 cubic feet. If a pyramid has a base area of 102 square feet and a volume of 238 cubic feet, find its height.

What is 238=(1/3)(h)(152)

400

what is the transformation: 

f(x)= -3/x-2 - 2

What is stretch 3, reflect x, right 2, and down 2

400

Factor completely

250x3-128

What is 2(5x-4)(25x2+20x+16)

400

3√x3+27


x+3

400

√200x4y2

10x2y

500

 The cost to print flyers for the opening of an art show varies directly with the number of copies printed. It cost $45 to print 750 copies. Write the equation for the total cost for 120 additional copies. (you may use 120 for JUST the additional or 870 to include the original AND the 120 additional)

What is 7.2=(.06)(120)

500

Write the equation of the rational function that...

...vertically stretched by 4, shifted left 2, shifted up 2.

What is f(x) = 4/(x-2) + 2

500

Factor completely

864u3-500

What is 4(6u-5)(36u2+30u+25)

500

3√x+5-2=0

x=3

500

√500x6y4

10x3y2

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