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.