Algebra Annie Algebra 1 EOC Review

relation : set of ordered pairs

ordered pair : the x and y coordinates of a point on the coordinate plane (x,y)

domain : set of all of the possible x-values. INPUTS

range : set of all the possible y-values. OUTPUTS

other names for "y" : range, dependent variable, output

vertical line test : a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

graph of a quadratic function :

Quadratic Parent Function :

words for "<" : is less than, is smaller than, shade below, shade to the left

words for ">" : is more than, is greater than, is larger than, shade above, shade to the right

what is the linear parent function? : y = xf(x) = x

define slope : the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

what is the y-intercept? : the point where the graph crosses the y-axis. It has the coordinates (0, y)

what is a linear inequality? : It is an equation with a <, >, < or =, > or = in the place of the =.

What is the SOLUTION of a system of equations? : where the lines touch or cross

How many solutions can a system with 2 equations have? : 1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

How do you combine like terms? : Add their coefficients.

How do you DIVIDE exponents of like variables? : SUBTRACT them

Range : When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

Integer : A whole number, both positive and negative numbers, including zero. ... ,-3, -2, -1, 0, 1, 2, 3, ......

Maximum or Minimum : Maximum is at the highest point of a parabola. Minimum is the lowest point.

The Square Root Property to solve Quadratics : To get rid of the exponent 2, you can take the square root of both sides. Remember the plus or minus symbol, which can give you two answers.

How to use the Discriminant when solving the Quadratic Formula? : 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)

Factoring with 4 terms : Solve by grouping. Group two sets and then factor those two groups.

Compound Interest Formula : A=(P+r/n)^ntCommon n values are 12=monthly, 4=quarterly, 2=semiannually, 1=annually.t is the time in years.

Simple Interest Formula : You can solve for any of the variables when given the other 3. The rate is the percentage rate usually written as a decimal. EX. 13%= 0.13

Axis of Symmetry : The equations x=0 is the axis of symmetry for a parabola in standard form.

Calculate and interpret the average rate of change (symbolically or from a table) : How fast is it changing? Sometimes you find out how much each one changes, then take their average.

Exponential functions y=2^x Where the variable is the exponent. : Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

Arithmetic Sequence : A pattern in which you add a number each time.

Correlation vs. Causation : CORRELATION is just a recognizable pattern: EX. In the summer ice cream sales increase and so do the number of shark attacks. CAUSATION is the reason something occurs: EX. The number of ice cream sales is NOT the cause for the increase of shark attacks.

Histogram : A bar graph that has a range of values on the x-axis. In the example, each bar represents an age range of 5 years.

Outliers : A data point that does not fit in with the rest of the data.

Two-way Frequency tables and Relative Frequency Tables : Comparing more than one thing in a table. Use the information in a table to answer questions.

Seven "is less than" a number : 7<n

3 "more than" a number : n + 3 Add 3 to the number

Exponent Rules : There are a bunch!

Perfect Squares : 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

Standard Form of a line : Ax + By = C NO fractions, NO decimals, A has to be positive!