More multiplication properties of exponents
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This document discusses properties of exponents, including raising a power to a power, such as (am)n = am×n, and raising a product to a power, such as (ab)m = am × bm. It provides examples of simplifying expressions with exponents, such as (a4)7 and (2w)4, using the rules explained. The homework assigned is a worksheet to practice these exponent properties and example simplifications.
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The document discusses ratios and how to express them in different formats. Ratios can be expressed using a colon, "to", or as a fraction. They can represent a part-to-part comparison between two parts, or a part-to-whole comparison of a part to the total. Examples are given of simplifying ratios by finding the greatest common factor.
Order of operations
Order of Operations (PEMDAS) provides rules for the sequence of mathematical operations to avoid confusion. It dictates that operations within parentheses should be performed first, followed by exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. The document provides an overview of the PEMDAS method and examples for the reader to practice applying the order of operations.
All about-my-family
This document provides a brief introduction to the author and their family and pets. The author has 14 years of experience teaching math and has taught online for 9 years, and their passion is helping students love math as well.
Trig notes
This document introduces trigonometric ratios, which compare the sides of a right triangle. It defines the three primary ratios: sine, cosine, and tangent. Sine is the ratio of the opposite side to the hypotenuse. Cosine is the ratio of the adjacent side to the hypotenuse. Tangent is the ratio of the opposite side to the adjacent side. Several examples are provided to demonstrate calculating trigonometric ratios given a right triangle and to find angles or sides using inverse trigonometric functions.
U4 l4 quadratic formula powerpoint
This document provides instruction on solving quadratic equations using the quadratic formula. It explains that the quadratic formula can be used to solve any quadratic equation, even those that cannot be factored. It defines the discriminant (b^2 - 4ac) as an important part of the formula, as the sign of the discriminant determines the number and type of roots. A negative discriminant means there are two complex roots, zero means there is one real root, and a positive discriminant means there are two real roots that can be rational or irrational depending on whether the discriminant is a perfect or non-perfect square. An example problem demonstrates finding the discriminant, describing the roots, and solving a quadratic equation using the formula. Practice
Relations & functions
The document summarizes key concepts about relations and functions including:
1) It defines relation, domain, range, and function.
2) It provides examples of relations that are and are not functions using ordered pairs, tables, and mappings.
3) It shows how to determine if a relation is a function using a vertical line test and mappings.
4) It gives examples of finding the domain and range of relations and determining if other relations are functions.
The y intercept and the slope
This document explains how to graph linear functions in slope-intercept form by plotting the y-intercept and using the slope. It outlines three steps: 1) Plot the y-intercept point on the y-axis. 2) Use the slope to rise up and run over to plot the next point. 3) Connect the dots with a line to graph the function. It also provides extra examples to demonstrate the process.
Solving inequalities one step
Solving inequalities is similar to solving equations, except the inequality sign changes if multiplying or dividing by a negative number. There are multiple numbers that can satisfy an inequality rather than a single solution. Notation for inequalities includes > for greater than, >= for greater than or equal to, < for less than, and <= for less than or equal to. Examples show solving basic linear inequalities involving addition, subtraction, multiplication, and division.
Lesson solving two step equations when -x = #
This document provides instructions for solving two-step equations. It outlines the six key steps: 1) divide the equation with an equal sign, 2) undo addition/subtraction to isolate the variable, 3) simplify, 4) undo multiplication, 5) simplify to solve for the variable, and 6) always check the answer by substituting it back into the original equation. It then provides five practice problems for students to solve.
Solving equations one & two step
1) The document defines terms, constants, coefficients, and discusses how to solve one-step and two-step equations. It provides examples of solving equations involving addition, subtraction, multiplication and division.
2) Sample one-step equations are provided along with the steps to solve each type. Equations involving addition, subtraction, multiplication and division are worked through as examples.
3) A two-step practice problem is given along with the answers. Solving two-step equations is introduced.
Solving one step equations
This document provides examples of how to solve one-step equations by adding, subtracting, multiplying, and dividing. It includes 3 examples for each operation: adding by isolating the variable term on one side of the equation and adding its opposite to both sides; subtracting by isolating the variable term and subtracting its opposite from both sides; multiplying by isolating the variable term and dividing both sides by its coefficient; and dividing by isolating the variable term and multiplying both sides by the reciprocal of its coefficient.
Ratio powerpoint
The document discusses ratios and provides examples using Lucky Charms cereal. It states there are 287 marshmallow pieces and 2,583 oat pieces in one box of Lucky Charms. This ratio of marshmallows to oats can be written in three ways: as a fraction, using the word "to", or using a colon. The document also discusses writing ratios in simplest form and explaining their meanings.
Ratio slideshow
The document discusses ratios and how to express them in different formats. Ratios can be expressed using a colon, "to", or as a fraction. They can compare parts to parts (part-to-part ratios) or parts to the whole (part-to-whole ratios). Examples are given of simplifying ratios by finding the greatest common factor and converting ratios to their simplest form.
Coordinate plane ppt
This document provides notes on plotting points on a coordinate plane, including the location of positive and negative integers on the x and y axes, naming the quadrant that coordinate pairs are located in, and naming the coordinate pair for points in different locations on the plane. It discusses key aspects of the coordinate plane and plotting coordinate pairs to identify points in the different quadrants.
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- 1. 8-4 More Multiplication Properties of Exponents Day 39 Objective 1.01
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