Mathematics Concepts Overview

False (B)

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

<p>Old Value</p> Signup and view all the answers

<p>Mean = The value in the middle of the data set Range = The value in the data set that occurs the most often Mode = The difference between the maximum and minimum values in a data set Median = The average of all values in a data set</p> Signup and view all the answers

<p>$25π$ square centimeters (B)</p> Signup and view all the answers

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

<p>720 degrees</p> Signup and view all the answers

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

<p>1 mile = 5280 feet 1 yard = 36 inches 1 pound = 16 ounces 1 gallon = 4 quarts</p> Signup and view all the answers

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

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

<p>C = πd</p> Signup and view all the answers

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

<p>1440 (C)</p> Signup and view all the answers

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

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

<p>20 units</p> Signup and view all the answers

<p>length, width</p> Signup and view all the answers

<p>Square = A = s^2 Rectangle = A = lw Parallelogram = A = bh</p> Signup and view all the answers

<p>All quadrilaterals have at least one pair of parallel sides. (A)</p> Signup and view all the answers

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

<p>48 square units</p> Signup and view all the answers

<p>$m = \frac{y_2 - y_1}{x_2 - x_1}$ (C)</p> Signup and view all the answers

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

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

<p>y - 3 = -1(x - 2)</p> Signup and view all the answers

<p>Slope = m Y-intercept = b Slope-intercept form = y = mx + b Point-slope form = y - y₁ = m(x - x₁)</p> Signup and view all the answers

<p>2πr^2 + 2πrh (C)</p> Signup and view all the answers

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

<p>P = a + b1 + c + b2</p> Signup and view all the answers

<p>V = (1/3)abh</p> Signup and view all the answers

<p>V = (1/3)πr^2h (B)</p> Signup and view all the answers

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

<p>SA = 6a^2</p> Signup and view all the answers

<p>Cube = a^3 Cylinder = πr^2h Sphere = (4/3)πr^3 Rectangular Solid = l x w x h</p> Signup and view all the answers

<p>2x and 6x (A)</p> Signup and view all the answers

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

<p>18</p> Signup and view all the answers

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

<p>2x = Like terms 6y = Not like terms -5x = Like terms 8xy2 = Not like terms</p> Signup and view all the answers

<p>Distribute the negative sign (C)</p> Signup and view all the answers

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

<p>54</p> Signup and view all the answers

The product of one and any number is the number itself. Example: 7 x 1 = 7

Zero multiplied by any number equals zero. Example: 0 x 2 = 0

Zero divided by any nonzero number is zero. Example: 0 ÷ 3 = 0

Dividing a number by zero is undefined. Example: 5 ÷ 0 = undefined

The area of a square is calculated as A = s², where s is the side length.

The area of a rectangle is calculated as A = lw, where l is length and w is width.

The area of a parallelogram is calculated as A = bh, where b is the base and h is the height.

The perimeter of any quadrilateral is found by adding all its sides together.

Formula to calculate interest: I = prt, where I is interest, p is principal, r is rate, and t is time.

The initial amount of money invested or loaned.

Formula to calculate distance: d = rt, where d is distance, r is rate, and t is time.

Calculation of change in value represented as a percentage: PC = (New Value - Old Value) / Old Value x 100.

Rules for the sequence of mathematical operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (PEMDAS).

Average of a set of numbers: Mean = Sum of all Data Points / Number of Data Points.

Middle value in a sorted data set.

The value that appears most frequently in a data set.

The perimeter or boundary line of a circle.

The space contained within a circle, calculated by A = πr².

The distance across a circle through its center, equal to twice the radius.

The process of changing from one unit of measurement to another.

A unit of volume equal to 2 cups.

A polygon with 3 sides and 180 degrees sum of interior angles.

A polygon with 6 sides and 720 degrees sum of interior angles.

A unit of measurement for volume often used in cooking.

Calculated by the formula S = 180(n - 2) for polygons.

The perimeter of a trapezoid is the sum of its four sides: P = a + b1 + c + b2.

The area of a trapezoid is calculated as A = (b1 + b2) ∙ h / 2.

Volume for a cube is given by V = a^3, where 'a' is the length of a side.

Surface area for a cube is SA = 6a^2.

For a rectangular solid, volume is V = l × w × h.

The volume of a cylinder is given by V = πr^2 h.

Volume of a sphere is V = (4/3)πr^3.

The volume of a cone is V = (1/3)πr^2 h.

Terms in algebra that have the same variable and exponent.

Terms in algebra that have different variables or exponents.

Combining like terms from two polynomial expressions.

Rewrite subtraction as addition by distributing the negative sign.

A method to find the total number of ways events can occur.

The number of ways event M can occur in the Fundamental Counting Principle.

The number of ways event N can occur in the Fundamental Counting Principle.

Different possible outcomes from multiple events or choices.

The steepness of a line, calculated as rise over run.

The point where the line crosses the y-axis.

y - y1 = m(x - x1); defines a line given a point and slope.

m = (y2 - y1) / (x2 - x1); calculates the slope between two points.

Use slope and y-intercept or points to write line equations.