Created from Youtube video: https://www.youtube.com/watch?v=Sqe7E6OySIYvideo

Concepts covered:math tutorial, 7th grade, final test prep review, calculating profits, solving equations

The video provides a math tutorial for 7th-grade students, focusing on a final test prep review involving various math problems and solutions. It covers topics like calculating profits, solving equations, understanding probability, and determining average walking speed.

Table of Contents1.Financial Performance Analysis of Ellen's Cupcake Store2.Calculating Mean Average for Monthly Profit3.Mathematical Problem Solving with Long Division and Subtraction4.Combining Like Terms with Variables and Numbers5.Mathematical Operations with Fractions and Decimals

chapter

1

Financial Performance Analysis of Ellen's Cupcake Store

Concepts covered:Ellen's Cupcake Store, Financial Performance, Profit, Loss, Analysis

Ellen's cupcake store's financial performance is analyzed over a period of eight months, showing a profit of $220 in the initial phase and a subsequent loss of $150 per month for four months.

Question 1

What is Ellen's total profit for eight months?

Question 2

Why is it important to include signs?

Question 3

How does Ellen's profit compare to her loss?

chapter

2

Calculating Mean Average for Monthly Profit

Concepts covered:mean average, monthly profit, summing, dividing, calculations

The chapter explains how to calculate the mean average for monthly profit over the first 12 months by summing up the profits and losses for each month and dividing by the total number of months. It demonstrates the process using examples and simplifying the calculations step by step.

Question 4

What is the final step in finding the mean?

Question 5

What is the first step in finding the mean?

Question 6

How can you simplify adding 220 eight times?

chapter

3

Mathematical Problem Solving with Long Division and Subtraction

Concepts covered:long division, subtraction techniques, fractions, mathematical problem solving, complex equations

The chapter discusses solving mathematical problems using long division and subtraction techniques. It covers dividing large numbers, understanding fractions, and applying subtraction in complex equations.

Question 7

What does 'from' indicate in subtraction?

Question 8

Why do we round 96.666 to 96.67?

Question 9

Why distribute -1 to each term inside parentheses?

chapter

4

Combining Like Terms with Variables and Numbers

Concepts covered:Combining like terms, Variables, Numbers, Grouping terms, Simplifying expressions

When combining like terms with variables and numbers, it is essential to group terms with the same variable together and then simplify the expressions by performing operations based on the variables and numbers separately. This process involves treating variables as 'animals in a zoo' and organizing them before dealing with the numerical values.

Question 10

What is 6 and 4/5 X minus 1 and 1/3 X?

Question 11

Why can 6 and 4/5 X be grouped with 1 and 1/3 X?

Question 12

Why group 2.5 with -5 and 3/4?

chapter

5

Mathematical Operations with Fractions and Decimals

Concepts covered:fractions, decimals, mathematical operations, multiplication, addition

The chapter covers various mathematical operations involving fractions and decimals, demonstrating how to perform calculations such as multiplication, addition, and subtraction with detailed step-by-step explanations.

Question 13

Solve 0.7X = 56 for X.

Question 14

Simplify 82/15 to a mixed number.

Question 15

What is 5.75 - 2.5?

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