Parts of a Radical
Transformations
Square Root Equations
Radical & Exponents
Direct & Inverse Variation
Mixture
100

What are the four parts of a radical?

index, radical, radicand, and coefficient. 

100

Name what each part represents within a transformation. 

"-" in front of the a means there's a reflection over the x-axis. 

a>1 = vertical stretch ; 0<a<1 = vertical compression

"-h" = move to the right

"+h" = move to the left 

"+k" = move up 

"-k" = move down

100

Solve for the variable. 

r=28

100

Write each expression in radical form.

100

What is the equation for direct variation and inverse variation?

Direct: y=kx

Inverse: xy=k or y=k(1/x) or y=k/x

100

Evaluate 

4sqrtx


When x = 9

12

200

What is the index and radicand?

Index = 3 

Radicand = 27

200

Describe the transformation.

Moved up 3 units 

Moved left 4 units

200

Solve for the variable.

b=10

200

Write each expression in radical form.

200

Suppose y varies directly as x, and y= 16 when x = 8 Find y when x = 16.


200

Evaluate when x = 4


2sqrt(2x+1)

6

300

If a number is not visible, you can assume the index is ________. 

2

300

Describe the transformation.

Vertical stretch by 3 

Moved left 5 units 

300

Solve for the variable.

k=4

300

Write each expression in exponential form.

10^{3/2}

300

If x varies inversely as y, and x = 10 when y = 3/2,

what is the value of x when y = 3/5?


x=25

300

The number that is given, is a irrational number. True or false. Explain.

4sqrt4

False. The square root of 4 is 2. 2 times 4 equals 8. This number can be written as a fraction 8/1. Thus it's a rational number. 

400

Square and _____ are inverses of each other. 

square root

400

Describe the transformation. Determine the domain and range.

Reflection over the x-axis, Moved right 8 units and moved up 1 unit.

Domain: 8 to +infinity 

Range: -infinity to 1

400

Solve for the variable.

p=2,5 

400

Write each expression in exponential form.

2^{5/4}

400

Direct variation: A local fast food restaurant takes in $9000 in a 4 hour period. How many hours will it take the restaurant to earn $20,250.


9 hours 

400

The sum of a rational number and an irrational number is a ______________. 

irrational number 

500

Identify the coefficient, radicand, and index.

Coefficient = 3 

Index =2 

Radicand = 2x+3

500

Describe the transformation. Determine the domain and range.

Reflection over the x-axis, Vertical Stretch by 2, Moved to the right 3 units, Moved up 5 units 

Domain: 3 to +infinity 

Range: -infinity to 5

500

Solve for the variable.

r=4

500

Write each expression in radical form and evaluate (round to the nearest tenth).

Evaluate = 1.1 

500

Carol notices that the number of customers who visit her coffee shop varies inversely with the average daily temperature. Yesterday, the average temperature was 40° and she had 160 customers. If today’s average temperature is 25°, how many customers should she expect?


256 customers 

500

Define what a rational and an irrational number is. 

Rational - can be be written as a fraction, decimal repeats or ends.

Irrational - a number that can not be written as a fraction and the decimal never ends. 

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