SOLVING EQUATIONS
To preserve equality in an equation, remember this: when you do something to one side of the equation, you must also do this
What is do it to the other side?
A grocery store worker making $15 per hour would be best modeled by this type of function
What is a linear function?
The numbers you can count on your fingers (1, 2, 3, ...) are known as these types of numbers
What are the natural numbers?
Pulling out the largest term that can divide evenly into the other terms is known as finding this, sometimes abbreviated as GCF
What is the greatest common factor?
In a function, the inputs represent the domain of the function, and the outputs represent this, something a great actor or actress might have
What is range?
Solving equations is all about isolating the variable by using this term, another word for "opposite"
What is inverse?
A relation is a function if every input has exactly this many outputs; no more!
What is 1?
The famous number known as pi (3.14159265...) is a great example of this type of number
What is an irrational number?
Simplifying (x2)(x3) to equal x5 requires you to keep the base and add the exponents in this specific exponent law
What is the product rule?
In any right triangle, the famous equation a2+b2=c2 is known by this name
What is the pythagorean theorem?
Simplifying 3(x+4) will require you to use this tool where you multiply the terms on the inside by the term on the outside
What is distribution?
To test whether a graph is actually a function, you can perform this test where you draw a vertical line and see how many times it intersects the graph; if it intersects more than once, no dice!
What is the vertical line test?
The coordinate (0,0) on the coordinate grid is also known by this name
What is the origin?
The expression x2-9 is known as a difference of perfect squares, and can be rewritten as this
What is (x+3)(x-3)?
This is Mr. Carpenter's favorite baseball team
What are the New York Mets?
The solution of a system of equations is the values of x and y that satisfy both equations; on the graph, it is represented as this
What is the point of intersection?
A method of finding the vertex of a quadratic function would be to do this, which involves both adding and subtracting a number to create a perfect square binomial
What is completing the square?
The whole numbers are just like the natural numbers except that they include this number (although it doesn't really add anything)
What is 0?
This is the simplified version of x-3 (the version with no negative exponent)
What is 1/x3?
The function y=x2 is one of many that has a distinct curvy shape that goes by this name
What is a parabola?
When solving an inequality, don't forget to do this when you divide both sides by a negative number!
What is flip the inequality symbol?
This function has a graph that is shaped like the letter V, with a strict point at the bottom and not a gradual curve
What is an absolute-value function?
The number (1/3) = 0.333... is a rational number because it is a repeating decimal; the number (1/8) = 0.125 is a rational number because it is this type of decimal
What is a terminating decimal?
The expression (x4)3x can be rewritten as (x12)x thanks to this exponent law
What is the power rule?
A function where the graph behaves as one function under a specific domain but behaves as a different function under a different domain is known as this (almost as if its splitting into two pieces...)
What is a piecewise function?