Algebra Refresher 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 Pythagorean Theorem?

  • a + b = c
  • A = Ï€r^2
  • c = 2Ï€r
  • a^2 + b^2 = c^2 (correct)

What is a polygon with three sides?

triangle

Write 3.18*10^6 in standard form:

  • 318,000
  • 3,180,000
  • 31,800,000 (correct)

What does the equation 5=5 imply?

<p>All numbers are true (B)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>A = πr^2</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2Ï€r</p> Signup and view all the answers

What degree does all triangles have?

<p>180°</p> Signup and view all the answers

In the equation y=mx+b, what does 'm' represent?

<p>slope</p> Signup and view all the answers

True or False: 7^-1 = 1/7^1 = -1/7.

<p>False (B)</p> Signup and view all the answers

What is a polygon with four sides?

<p>quadrilateral</p> Signup and view all the answers

What is a polygon with five sides?

<p>Pentagon</p> Signup and view all the answers

What is a polygon with six sides?

<p>hexagon</p> Signup and view all the answers

What is a polygon with seven sides?

<p>Septigon</p> Signup and view all the answers

What is a polygon with eight sides?

<p>octagon</p> Signup and view all the answers

What is a polygon with nine sides?

<p>nonagon</p> Signup and view all the answers

What are the steps for solving an equation?

<ol> <li>Deal with parentheses; 2. Combine similar terms on each side; 3. Get the needed variables on each side; 4. Isolate variable by adding or subtracting; 5. Find the needed variables by multiplying or dividing.</li> </ol> Signup and view all the answers

What is an integer?

<p>A whole number, not a fraction</p> Signup and view all the answers

True or False: Flip the sign when the end equation is a negative.

<p>True (A)</p> Signup and view all the answers

Flashcards are hidden until you start studying

Study Notes

Pythagorean Theorem

  • Formula: ( a^2 + b^2 = c^2 ) describes the relationship between the sides of a right triangle.

Triangle

  • A polygon characterized by having three sides.

Scientific Notation

  • Convert ( 3.18 \times 10^6 ) into standard form yields:
    • Options include 31,800,000, 3,180,000, and 318,000.

Solving Equations

  • Understand types of solutions:
    • No solution: The equation is inconsistent.
    • One solution: A unique solution exists.
    • All numbers true: Equations are identical.

Area of a Circle

  • Formula: ( A = \pi r^2 ) used to calculate the space within a circle.

Circumference of a Circle

  • Formula: ( C = 2\pi r ) gives the distance around a circle.

Triangle Angles

  • The sum of all interior angles in a triangle is always ( 180° ).

Slope in Linear Equations

  • In the equation ( y = mx + b ), ( m ) represents the slope, indicating the steepness of the line.

Negative Exponents

  • Statement: ( 7^{-1} = \frac{1}{7} ), which is true, while the assertion ( 7^{-1} = -1 \times 7 ) is false.

Quadrilateral

  • A polygon that has four sides.

Pentagon

  • A polygon with five sides.

Hexagon

  • A polygon comprising six sides.

Septagon

  • A polygon with seven sides.

Octagon

  • A polygon that possesses eight sides.

Nonagon

  • A polygon characterized by having nine sides.

Steps for Solving Equations

  • Follow a systematic approach:
    • Address parentheses first.
    • Combine like terms on each side.
    • Isolate the variable by rearranging the equation.
    • Determine the variable values through multiplication or division.

Integer Definition

  • Whole numbers that are not fractions, including positive, negative numbers, and zero.

Handling Negative in Equations

  • Rule: The inequality must be flipped when the equation results in a negative number.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Algebra Fundamentals Quiz
5 questions

Algebra Fundamentals Quiz

SmoothGoshenite5913 avatar
SmoothGoshenite5913
Algebra Fundamentals Quiz
10 questions

Algebra Fundamentals Quiz

MarvelousMistletoe avatar
MarvelousMistletoe
Algebra Fundamentals Quiz
50 questions

Algebra Fundamentals Quiz

BeneficialThermodynamics avatar
BeneficialThermodynamics
Fundamentals of Algebra Flashcards
14 questions

Fundamentals of Algebra Flashcards

SensationalChrysoprase468 avatar
SensationalChrysoprase468
Use Quizgecko on...
Browser
Browser