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
Download our mobile app to listen on the go
Get App

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?

<p>All of the above (D)</p> Signup and view all the answers

What is the vertex quadratic form?

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

What is a quadratic function?

<p>y = ax^2 + bx + c</p> Signup and view all the answers

Which of the following represents a quadratic equation?

<p>Both A and B (D)</p> Signup and view all the answers

What is the general form of an exponential function?

<p>y = ab^x</p> Signup and view all the answers

What is the formula for calculating the slope?

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

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

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

What is the distance formula?

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

What is the midpoint formula?

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

What is the quadratic formula?

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

What theorem relates the sides of a right triangle?

<p>a^2 + b^2 = c^2</p> Signup and view all the answers

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

<p>d = rt</p> Signup and view all the answers

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

<p>y = 3x + 1</p> Signup and view all the answers

What does an absolute value function look like?

<p>y = |x| - 2</p> Signup and view all the answers

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

<p>y = 2 * 3^x</p> Signup and view all the answers

What is an example of a quadratic function?

<p>y = 3x^2</p> Signup and view all the answers

Flashcards

Standard form of a linear equation?

Ax + By = C, where A, B, and C are constants.

Slope-intercept form?

y = mx + b, where m is the slope and b is the y-intercept.

Point-slope form?

y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Vertex form?

y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Signup and view all the flashcards

Quadratic function?

y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Signup and view all the flashcards

General form of an exponential function?

y = ab^x, where a is the initial value and b is the base.

Signup and view all the flashcards

Formula for slope?

m = (y2 - y1) / (x2 - x1)

Signup and view all the flashcards

nth term of an arithmetic sequence?

An = a1 + (n - 1)d, where a1 is the first term, n is the term number, and d is the common difference.

Signup and view all the flashcards

Distance formula?

D = √((x2 - x1)^2 + (y2 - y1)^2)

Signup and view all the flashcards

Midpoint formula?

((x1 + x2)/2, (y1 + y2)/2)

Signup and view all the flashcards

Quadratic formula?

x = (-b ± √(b^2 - 4ac)) / (2a)

Signup and view all the flashcards

Pythagorean theorem?

a^2 + b^2 = c^2, where a and b are legs, and c is the hypotenuse.

Signup and view all the flashcards

Distance formula?

d = rt, where d is distance, r is rate, and t is time.

Signup and view all the flashcards

Example of a linear function?

y = 3x + 1 is a line where slope is 3 and y-intercept is 1.

Signup and view all the flashcards

Absolute value function?

y = |x| - 2 is a V-shaped graph, shifted down 2 units.

Signup and view all the flashcards

Exponential function example?

y = 2 * 3^x is an exponential growth function with initial value 2.

Signup and view all the flashcards

An example of a quadratic function?

y = 3x^2 represents a parabola.

Signup and view all the flashcards

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.

Quiz Team

More Like This

Mathematical Concepts Quiz
10 questions

Mathematical Concepts Quiz

EnthusiasticHeliotrope7094 avatar
EnthusiasticHeliotrope7094
Mathematical Concepts Quiz
8 questions
Use Quizgecko on...
Browser
Browser