Basic Algebra Formulas Flashcards

Questions and Answers

What is the Quadratic Formula?

x = (b² - 4ac) / 2a

x = -b / 2a

x = ± √(b² - 4ac)

x = -b ± √(b² - 4ac) / 2a (correct)

What is the Distance Formula?

√[(x1-x2)² + (y1-y2)²]

What is the formula for the Area of a Circle?

πr²

What is the formula for the Circumference of a Circle?

2(π)r Signup and view all the answers

What is the Slope-Intercept Form?

y = mx + b Signup and view all the answers

What is the Slope Formula?

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

What is the formula for the Area of a Triangle?

(1/2)bh Signup and view all the answers

What is the Pythagorean Theorem?

a² + b² = c² Signup and view all the answers

What is the formula for the Area of a Rectangle?

bh Signup and view all the answers

What is the formula for the Perimeter of a Rectangle?

b + b + h + h or 2b + 2h Signup and view all the answers

What is the Midpoint Formula?

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

Study Notes

Quadratic Formula

Used to find the solutions of a quadratic equation.
Formula: x = -b ± √(b² - 4ac) / 2a, where a, b, and c are coefficients.

Distance Formula

Calculates the distance between two points in a Cartesian plane.
Formula: √[(x₁ - x₂)² + (y₁ - y₂)²].

Area of a Circle

Measures the space contained within a circle.
Formula: A = πr², where r is the radius.

Circumference of a Circle

The distance around the edge of a circle.
Formula: C = 2πr, where r is the radius.

Slope Intercept Form

Represents the equation of a straight line.
Formula: y = mx + b, where m is the slope and b is the y-intercept.

Slope Formula

Calculates the steepness of a line between two points.
Formula: Slope = (y₁ - y₂) / (x₁ - x₂).

Area of a Triangle

Determines the space within a triangle.
Formula: Area = (1/2)bh, where b is the base and h is the height.

Pythagorean Theorem

Relates the lengths of the sides of a right triangle.
Formula: a² + b² = c², where c is the hypotenuse.

Area of a Rectangle

Calculates the space contained within a rectangle.
Formula: Area = bh, where b is the base and h is the height.

Perimeter of a Rectangle

Measures the total distance around a rectangle.
Formula: P = 2b + 2h or P = b + b + h + h.

Midpoint Formula

Finds the midpoint between two points.
Formula: Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2).

Description

Test your knowledge with these flashcards on basic algebra formulas. Each card presents a key formula, helping you to understand and memorize essential concepts like the Quadratic Formula and the Distance Formula. Perfect for students looking to reinforce their algebra skills.