Radical Ideas May Be Complex...
Doing this to the square root of x cancels out the square root.
Why would we square a square root?
Order of operations for simplifying equations
What is PEMDAS?
This is the product rule for exponents.
What rule allows (a * b)^m = a^m * b^m?
It is the interval of all valid y-values for a graph.
What is the range of a function?
How do you divide two fractions?
It results from finding the square root of a negative number.
What is an imaginary number?
What is i?
To represent the inclusion of numbers in a bound.
What are square brackets used for?
It is one of our methods for multiplying two polynomials together without needing to directly use the distributive property.
What is the Box Method?
What is the Vertical Method or Vertical Format?
We represent this as y = mx + b.
What is the formula for a linear equation?
Finding this is essential for adding and subtracting rational expressions whose denominators don't match.
What is the LCD (Least Common Denominator)?
This can only be done when index and radicand are exactly the same.
When can we add or subtract radical expressions?
To represent the exclusion of numbers in a bound.
What are parenthesis used for?
This is the shortcut for expanding (x+y)^2.
What is (x+y)^2 = x^2 + 2xy + y^2?
It is one of two methods that can be used to solve systems of equations.
What is the substitution method?
What is the elimination method?
We apply this if a rational expression has a variable in the denominator of at least one of the fractions.
What is a variable restriction?
We get this by applying the Pythagorean Theorem to a graph of three points that form a right angle?
The distance a number is from 0.
What is an absolute value?
This is the shortcut for expending (x-y)(x+y).
What is (x-y)(x+y) = x^2 - y^2?
We use the Vertical Line Test to determine this.
How can you tell if a graph represents a function?
Factoring this number out of any equation switches the signs of all numbers.
Why would we factor -1 out of an equation?
This formula will produce two solutions for any quadratic equation.
What is the quadratic formula?
We represent this as A = l * w.
What formula gives us the area of a rectangle?
It is used to factor a trinomial of the form ax^2 + bx + c.
What is the AC Method?
It is a line whose slope is negated and the numerator/denominator are switched.
What is a perpendicular line?
This equation is used to solve work/rate problems.
What is:
1/(alone) + 1/(alone) = 1/(together)?