Real Numbers and the coordinate plane
A2 + B2 = C2
Where C is the hypotenuse of a right angle triangle and A & B are the legs of a right angle triangle
What is the Pythagorean Theorem?
A placeholder for a number.
What is a variable?
When the data points form a straight line in the graph.
What is a linear graph?
A common phrase used to describe the slope of a function.
What is "rise over run"?
Where the graph of two linear equations cross on the coordinate plane.
What is a graphical solution to a system of equations?
A number that can be written in the form a/b where a is an integer and b is a non-zero integer.
What is a rational number?
A mathematical statement without an equals sign.
E.g. 5m + 3
What is an algebraic expression?
A rule that assigns one output value from input values.
What is a function?
Where the function crosses the y-axis.
What is the y-intercept?
When the value of one equation is used to solve the other equation.
What is the substitution method?
A number that can not be written in the form a/b where a is an integer and b is a non-zero integer.
What is an irrational number?
A mathematical statement containing an equals sign.
E.g. 5m + 3 = 18
What is an algebraic equation?
A function that the ratios between the inputs and the outputs stays the same.
What is a proportional function?
An equation written in the form y=mx + b.
What is the "slope-intercept form"?
When you use properties of Addition and Substitution to solve a system of equations.
What is the elimination method?
A square that has integers number length sides.
What is a perfect square?
An equation that takes many steps to simplify.
E.g. distributive property, addition/subtraction, and division/multiplication.
What is a multi-step equation?
A function that, when graphed, forms a linear graph that passes through the origin.
What is a proportional function?
The slope of a function.
What is the "rate of change"?
A set of two or more equations that have the same variables.
What is a system of equations?
The sum of the lengths of two sides of a triangle is greater than the length of the third side.
What is the triangle inequality theorem?
An equation that has the solution x = x.
What is an equation that has infinitely many solutions?
A quadratic function that contains one or more parabolas when graphed.
What is a non-linear function?
The value at the y-intercept.
What is the initial value of a function?
Double Jeaporday!
This city is the home of Ana and Elsa in the movie Frozen but is also Mr Emil's home town.
What is Arendal?