Questions and Answers
What is the standard form of a linear equation?
Ax + By = C
What is the slope-intercept form of a linear equation?
y = mx + b
What is the point-slope form of a linear equation?
y - y1 = m(x - x1)
Which of the following is an example of a linear function?
Signup and view all the answers
What is the vertex quadratic form?
Signup and view all the answers
What is a quadratic function?
Signup and view all the answers
Which of the following represents a quadratic equation?
Signup and view all the answers
What is the general form of an exponential function?
Signup and view all the answers
What is the formula for calculating the slope?
Signup and view all the answers
What is the formula for the nth term of an arithmetic sequence?
Signup and view all the answers
What is the distance formula?
Signup and view all the answers
What is the midpoint formula?
Signup and view all the answers
What is the quadratic formula?
Signup and view all the answers
What theorem relates the sides of a right triangle?
Signup and view all the answers
What is the formula for distance in relation to rate and time?
Signup and view all the answers
What is the representation of a linear function shown in an example?
Signup and view all the answers
What does an absolute value function look like?
Signup and view all the answers
What is the form of an exponential function given by 2 and 3?
Signup and view all the answers
What is an example of a quadratic function?
Signup and view all the answers
Study Notes
Linear Functions
- Standard form: Ax + By = C
- Slope-intercept form: y = mx + b
- Point-slope form: y - y1 = m(x - x1)
Quadratic Functions
- Vertex form: y = a(x - h)^2 + k
- Standard quadratic form: y = ax^2 + bx + c
- Quadratics encompass both vertex form and standard form.
Exponential Functions
- General form: y = ab^x
- Example: y = 2 * 3^x illustrates exponential growth.
Arithmetic Sequence
- Formula: An = a1 + (n - 1)d
- Used to find the n-th term in an arithmetic sequence.
Distance and Midpoint
- Distance formula: D = √((x2 - x1)^2 + (y2 - y1)^2)
- Midpoint formula: (x1 + x2)/2, (y1 + y2)/2
Essential Theorems
- Quadratic formula: x = -b ± √(b^2 - 4ac) / 2a for finding roots of a quadratic equation.
- Pythagorean Theorem: a^2 + b^2 = c^2, relates sides of a right triangle.
Rate, Time, and Distance
- Distance formula: d = rt, where distance equals rate multiplied by time.
Various Function Forms
- Example linear function: y = 3x + 1
- Example absolute value function: y = |x| - 2
- Example quadratic function: y = 3x^2
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz features flashcards for essential mathematics concepts commonly found on the Missouri EOC assessment. Key topics include standard form, slope-intercept form, and quadratic functions. Use these flashcards to enhance your understanding and retention of mathematical principles essential for success in exams.
