SAT Math Concepts (Basic) Flashcards
Absolute Value Equations
How do you solve an Absolute Value Equation?
Actual vs Predicted
On a scatter plot with a line of best fit and points (see image), which are the predicted values and which are the actual values?
Quadratics (Basic Form & Attributes)
What is the Basic Quadratic Function (in standard form) and what does each letter represent?
Box Plot
What are all the components of a Box Plot?
Circle Equation
What is the basic Equation of a Circle?
Circles
What are the formulas for Circumference and Area of a circle?
Cofunctions of Complementary Angles
What do you need to know about the Cofunctions of Complementary Angles?
Completing the Square
What are the steps for Completing the Square (to find the equation of a circle)?
To complete the square (in order to find the equation of a circle), isolate the x’s and y’s and get the contstants on the other side. Then find b, b/2 and (b/2)2.
D = RT
What is the Distance formula?
Data Collection
What 3 things do you need to remember for Data Collection Questions?
Degrees/Radians
What is the conversion factor between Radians and Degrees?
Difference of Squares
How does a Difference of Squares factor?
(e.g. x2-16)
(x-4)(x+4)
Discriminant
What is the Discriminant and when do you use it? What are the 3 possibilities?
Distance on XY Axis
How should you calculate distance on an XY axis?
Exponential Function
What is the basic Exponential Function and what does each letter represent?
Exponential Function, Every X
How can the exponents change in an Exponential Function?
Exponents (Negative)
How do Negative Exponents work?
Exponents and Radicals
What are all the Exponent Rules you need to know for the SAT?
F(x) Notation
How does f(x) notation work?
(e.g. What does f(2) mean?)
Fractions of a Circle
How do you calculate the area or circumference of a fraction of a circle?
Fractions of a Circle
Graphing Inequalities
How do you graph Inequalities?
Inequalities
When do you flip the sign of an inequality?
Intersections
When a question asks about the intersection of two equations, what should you do?
Line of Best Fit w/Fake XY Axes
If you realize a Line of Best Fit has Fake XY Axes (which you should always be aware of), what linear equation formula should you use?
Line of Best Fit w/Fake XY Axes
Linear Functions
What is the Basic Linear Function (Slope-Intercept Form) and what does each letter represent?
Linear Functions
What is the Point-Slope form of the Basic Linear Function?
Linear vs Exponential
How can you tell if a function is Linear vs Exponential in a given situation?
Mean, Median, Mode, Range
What are Mean, Median, Mode, and Range?
Median on a Histogram
How do you calculate Median on a histogram?
Median on a Histogram
Number of Solutions for 2 Lines
What are the 3 ways in which two lines can interact? What are the conditions that lead to each of the 3 possibilities?
Parallel Lines
The slopes of parallel lines are…?
Percent Change
How do you correctly apply a percent change?
Percent Change
What is the Percent Change formula?
Perpendicular Lines
The slopes of perpendicular lines are…?
Quadratic Formula
What is the Quadratic Formula?
Quadratic Function Reminder
When you are given a Quadratic Function, what should you always think of doing first?
Radical Equations
What should you always do after you’ve solved a Radical Equation?
Rational Equations
What should you always do when solving rational equations?
Similar vs Congruent
What’s the difference between Similar and Congruent Shapes?
Slope of a Line
How can you caclulate the slope of a line when you are given a graph?
Slope of a Line
How do you calculate the slope of a line when given 2 points?
SOHCAHTOA
What is SOHCAHTOA?
Special Right Triangles
What is the relationship between the sides of a 30-60-90 special right triangle?
Special Right Triangles
What is the relationship between the sides of a 45-45-90 special right triangle?
Square Roots Reminder
Technically, how many answers does a square root give you?
Squaring a Radical
What happens when you square a radical?
Standard Deviation
What is Standard Deviation?
Sum/Product of the Solutions (Quadratic)
What is the fomula for the Sum of the Solutions in a Quadratic? The Product of the Solutions in a Quadratic?
System of Equations
What shoud you do when you’re given a system of linear equations and are being asked for an expression, instead of the value of x or y?
System of Equations (Linear)
What are the two ways of solving a system of linear equations?
System of Equations (Word Problem)
What should you do when you are given a system of linear equations in a word problem?
Translations/Function Shifts
What happens to a function when add to the outside of it? To the inside of it?
Unit Conversion
How do you do Unit Conversion?
Unwanted Denominators
How do you get rid of unwanted denominators (i.e. fractions)?
Vertex Form (Quadratic)
What is the Vertex Form of a Quadratic? And what does every letter represent?
Vertex of a Parabola
What are the 2 ways of finding the Vertex of a Parabola?
When Given a Point…
What should you do when you are given a point?
Word Problems
What should you do on confusing word problems?
X- and Y-Intercepts
How do you find X- and Y-Intercepts (without a graph)?
X-Intercepts, Zeros, Roots, Solutions (Quadratic)
What do you need to know about the x-intercepts, the zeros, the roots, and the solutions in a Quadratic?
X= and Y= Lines
What do X= and Y= Lines look like (respectively)?
