Algebra Concepts
A combination of numbers and/or variables that are multiplied together.
What is a Term?
An algebraic equation has this, but an algebraic expression does not.
What is an Equals sign?
The method for solving a linear system where one (or both) of the equations is multiplied by a number and then added to/subtracted from the other equation.
What is Elimination?
This is a ratio of two related quantities with different units.
What is a Rate?
This measure describes how spread out a set of data is in relation to the mean.
What is Standard Deviation?
A type of mathematical relationship between numbers where there is either an increase or a decrease of a constant amount.
What is a Linear Relationship?
When solving a linear inequality, if you do either of these, then you must flip the way the inequality sign faces.
What is multiply or divide both sides by a negative?
If a linear system has a solution, then the coordinates of that solution are the place where the two lines do this.
What is Intersect?
Compound interest is an example of this type of growth.
What is Exponential growth?
When calculating a Union Probability, you need to make sure that you do not this twice.
What is Count the Intersection?
If a graph fails the Vertical Line Test, then we know it is not this.
What is a Function?
This is the final step in the general strategy for solving an algebra word problem.
What is Interpret the solution(s) in terms of what the question is asking?
In order to tell how many solutions a system of linear equations has without solving it, we must first put both equations into this.
What is Slope-Intercept Form?
The process of using a line of best fit to predict specific data points that are inside the given data set is known as this.
What is Interpolation?
For a statistical sample to be considered good quality, it must be these two things.
What is Representative and Fair?
When given the coordinates of two points, it is calculated for an equation/graph using the formula y2 - y1 / x2 - x1.
What is Slope?
For two terms in an algebraic expression to be combined (added/subtracted), these two conditions have to be exactly the same.
What is the same combination of variables and raised to the exact same powers/exponents?
In linear systems that represent real variables, the usage of words like "at least" and "no more than" tells us we are dealing with these kinds of relationships.
What are Inequalities?
To use a percent we have to first convert it to a decimal, which is done by moving the decimal point this many places in this direction.
What is Two Places to the Left?
To calculate the mean of a data set, you have to add up all of the data points and then do this.
What is Divide by the Number of Date Points there are?
Represented frequently as the acronym PEMDAS, these are the four steps (in order) in the Order of Operations.
What are Parentheses, Exponent, Multiplication/Division from Left to Right, and Addition/Subtraction from Left to Right?
If the result of solving an equation is something like 4 = 4 or -3 = -3, this is how we would classify the answer(s).
What is an Infinite Number of Solutions?
It is often easier to solve a linear system using elimination when both equations are in this form.
What is Standard Form?
These are the five most common types of real life measurements.
What is Length, Mass, Volume, Time, and Temperature?
If a researcher has made the conclusion that one variable does have an effect on another another, then he/she must have just done this.
What is Completed a Controlled Experiment?