Math Flashcards
(10 cards)
What are the 2 ways you can find slope? How can you tell if a slope is increasing or decreasing?
Two ways to find slope are rise over run and y2-y1 over x2-x1. To tell if a slope is increasing or decreasing you can graph it and see what direction the line is going.
What is the difference between a rational and an irrational number? Provide an example.
Rational numbers are numbers that can be written as a fractions while irrational numbers cannot. For example, 10 is a rational number so it can also be written as 10/1.
What are the different ways of solving systems of Linear Equations? Explain two of them.
The different ways of solving linear equations are substitution, graphing, multiplication and elimination methods.
Graphing : find the solution where two graphed equations intersect
Wa Substitution: solve one equation for one variable, substitute that expression into the other equation, and then solve for the remaining variable finally substituting that value back into one of the original equations to find the other variable’s value.
What are the properties of translations? What is the rule?
Translations are when A, B or C points are moved a certain amount up, down, left, or right.
Translations will always keep the original shape and size of the original graph. All points on the translation will always move the same distance. Rules: Right a unit, add A to the x coordinate (x,y)=(x+A,y). Left a unit subtract A from the x-coordinate (x,y)=(x-A,y). up B units add the B to y-coordinate (x,y)=(x,y+b). Down B units subtract b to the y-coordinate (x,y)=(x,y-b)
What is a linear equation? Example what each variable means.
A linear equation is an equation with variables that makes a straight line when written on a graph. Variable X means an equation with only one solution, and Variable Y means a change vertically on a graph. y= mx+b is an example of a written linear equation.
What are the properties of Reflection? What is the rule?
Reflections are when a graph changes across the x or y axis. Reflections will have the same shape and size but will have their points flipped.
Rules: Reflections across the x-axis, multiple each y-coordinate by -1 (x,y)=-(x,-y) across the y-axis multiple each x-coordinate by -1 (x,y)=(-x,y)
What are the properties of rotations? What is the rule?
Rotations are when a graph is rotated a certain amount counterclockwise or clockwise.
Rotations are always the same shape as the original and are congruent with the original points. Rules 90 clockwise multiple each x-coordinate by -1; then switch the x- and y- coordinates :(x,y)=(-y,x) 90 degrees counterclockwise multiple each y-coordinate by -1 then switch the x- and y- coordinates: (x,y)=(-y,x) 180 make both coordinates negative
What are corresponding angles? What are alternate interior angles? What are alternate exterior angles? What are same-side interior angles?
Corresponding angles lie on the same side of the transversal T on the same side of line a and b.
alternate interior angles are nonadjacent angle that lie on the opposite of the transversal T between lines A and B.
An alternate exterior angle lies on the opposite sides of the transversal T over lines a and b.
Same side interior angles are two angles that are on the interior of the two lines and specifically on the same side of the transversal
What is Pythagorean Theorem? What is the formula?
In a right triangle the square of the length of the hypotenuse is equal to the sum of the other squares. The formula is a(squared) + b(squared)=c(squared)
What is the distance formula?
D= the square root of x2-x1 squared + y2-y1 squared
