Algebra 1 EOC

relation

• Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.
• exponential functions > quadratic functions > linear functions
• It means what number multiplies times itself to get the number under the house.
• set of ordered pairs

ordered pair

• 36/100 * 500 = x To solve you multiply 500 times 36/100.
• moves the line up or down the y-axis.
• the x and y coordinates of a point on the coordinate plane (x,y)

coordinate plane

• is more than, is greater than, is larger than, shade above, shade to the right
• Positive Correlation, Negative Correlation, or No Correlation.
• data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.
• a plane formed by 2 perpendicular lines called axes (the x-axis goes sided to side, the y-axis goes up and down).

function

• A data point that does not fit in with the rest of the data.
• special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)
• 2 + 3.14.... = 5.14....
• 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

Mapping

• Counting numbers: 1, 2, 3, ......
• Example: See x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as the difference of two squares that can be factored as (x^2-y^2)(x^2+y^2).
• Bubbles that represent the x-values and the y-values.
• The way numbers are grouped is different, but the result is the same.

Table

• A function that is not continuous. It has levels which represent the y-value for a set of x-values.
• Add/Sub
• the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run
• A way to represent ordered pairs.

domain

• A data point that does not fit in with the rest of the data.
• set of all of the possible x-values. INPUTS
• ADD them
• 3+6+9= 18 /3 = 6

range

• If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)
• They are the same
• set of all the possible y-values. OUTPUTS
• domain, independent variable, input

variable

• Set up a proportion and solve.
• NOT A NUMBER. A letter or symbol that stands for a number.
• Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2
• the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

independent variable

• f(x) = g(x) meaning you can set the two equations equal to each other in order to solve for the variable. Then to find y you plug the variable back into one of the original equations and solve.
• the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.
• (y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.