Recent Lessons

Show all results for ""

Missouri EOC Mathematics Flashcards

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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?

All of the above (D) Signup and view all the answers

What is the vertex quadratic form?

y = a(x - h)^2 + k Signup and view all the answers

What is a quadratic function?

y = ax^2 + bx + c Signup and view all the answers

Which of the following represents a quadratic equation?

Both A and B (D) Signup and view all the answers

What is the general form of an exponential function?

y = ab^x Signup and view all the answers

What is the formula for calculating the slope?

m = (y2 - y1) / (x2 - x1) Signup and view all the answers

What is the formula for the nth term of an arithmetic sequence?

An = a1 + (n - 1)d Signup and view all the answers

What is the distance formula?

D = √((x2 - x1)^2 + (y2 - y1)^2) Signup and view all the answers

What is the midpoint formula?

(x1 + x2)/2, (y1 + y2)/2 Signup and view all the answers

What is the quadratic formula?

x = -b ± √(b^2 - 4ac) / (2a) Signup and view all the answers

What theorem relates the sides of a right triangle?

a^2 + b^2 = c^2 Signup and view all the answers

What is the formula for distance in relation to rate and time?

d = rt Signup and view all the answers

What is the representation of a linear function shown in an example?

y = 3x + 1 Signup and view all the answers

What does an absolute value function look like?

y = |x| - 2 Signup and view all the answers

What is the form of an exponential function given by 2 and 3?

y = 2 * 3^x Signup and view all the answers

What is an example of a quadratic function?

y = 3x^2 Signup and view all the answers

Flashcards are hidden until you start studying

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.