Chapter 7

Chapter 7Pre-AlgebraBell RingerGet out yesterdays homework assignment (7.4)

Think of any clarifying questions you may have about 7.1-7.4

Write an equation for the following word problem:The perimeter of the classroom is 100 feet. The length is 10 feet greater than the width. Find the length and the width.

Quiz Review

QUIZ TOMORROW!!Sections 7.1-7.4

Homework: Page 393-394, 8-23

Study:7.1-7.4 HomeworkNotesProblems from todays review

Bell Ringer (7.5)Get out your notebook and prepare to take notes on Section 7.5

Prepare to ask questions about the 7-1-7.4 quiz

7.5 Solving Equations With Variables on Both Sides (Page 371)Essential Question:How is solving an equation with the variable appearing twice on the same side of the equals sign different from solving an equation with the variable appearing on both sides of the equals sign?

7.5 cont.Steps in Solving Equations1. Remove ( )2. Remove fractions or decimals by multiplication3. Combine like terms4. Isolate variables to one side5. Undo + or -6. Undo x or /7. Check!!4. Isolate variables to one side7.5 cont.CHECK!!7.5 cont.CHECK!!7.5 cont.CHECK!!7.5 cont.7.5 cont.CHECK!!7.5 cont.Example 5:

7.5 - ClosureHow is solving an equation with the variable appearing twice on the same side of the equals sign different from solving an equation with the variable appearing on both sides of the equals sign?

Twice on same side:Combine terms using the operation shown

On both sides:Combine terms using inverse operations

7.5 - HomeworkPage 373-374, 4-22 even, 28, 30

Bell Ringer (7.6)

7.6 Solving Two- Step Inequalities (Page 377)Essential Question:

How is solving two-step inequalities different from solving two-step equations?

7.6 cont.Graphing Inequalities:We can use the number line to solve inequalities containing < , , > , and . = , =

7.6 cont.

7.6 cont.**Remember to reverse the direction of the inequality symbol when you multiply or divide by a negative number**

7.6 cont.Example 3:Dale has $25 to spend at a carnival. If the admission to the carnival is $4 and the rides cost $1.50 each, what is the greatest number of rides Dale can go on?Therefore, the greatest number of rides Dale can ride is 14.7.6 - ClosureHow is solving two-step inequalities different from solving two-step equations?

Same except when you multiply or divide each side of an inequality by a negative number, you must also reverse the inequality symbol.

7.6 - HomeworkPage 379, 4-24 even, 34, 35

Bell Ringer (7.7)

7.7 Transforming Formulas (Page 382)Essential Question:

What does it mean to solve a formula for a given variable?

7.7 cont.Formula:

An equation that shows a relationship between quantities that are represented by variables

BEITZ RACING

NOT THE RACE CAR BRENDEN!!7.7 cont.Transforming in One Step:Example 1: Solve the area formula for length.

7.7 cont.Transforming in More Than One Step:Example 2: Solve the perimeter formula for width.

7.7 cont.

7.7 - ClosureWhat does it mean to solve a formula for a given variable?

Expressing one variable in terms of the other variables used in the formula

7.7 - HomeworkPage 384, 4-26 even

Bell Ringer (7.8)Get out your 7.7 homework assignment

Get out your notebook and prepare to take notes on Section 7.8

What does the term interest mean in mathematics?

7.8 Simple and Compound Interest (Page 386)Essential Question:

What is the difference between simple interest and compound interest?

7.8 cont.New Vocabulary:Principal initial amount of an investment or loan

Interest - fee charged by a lender to a borrower for the use of borrowed money

Interest Rate percentage of the balance that an account or investment earns in a fixed period of time

7.8 cont.New Vocabulary:

Simple Interest interest paid only on the principal

7.8 cont.Example 1:Suppose you deposit $1,000 in a savings account that earns 6% interest per year. Find the interest earned in 2 years. Find the total principal plus interest. SIMPLE INTEREST PROBLEM!!

7.8 cont.Balance principal plus earned interest

Interest Period length of time over which interest is calculatedCan be a year or less than a year

7.8 cont.Compound Interest interest paid on both the principal and the interest earned in previous interest periods

7.8 cont.Example 2:Suppose you deposit $400 in an account that earns 5% interest compounded annually. The balance after the first four years is $486.20. What is the balance in your account after another 4 years, a total of 8 years?COMPOUND INTEREST PROBLEM!!OR7.8 cont.

7.8 cont.Example 3:Find the balance on a deposit of $2,500 that earns %3 interest compounded semiannually for 4 years.

7.8 cont.

7.8 - ClosureWhat is the difference between simple interest and compound interest?

Simple Interest:Paid only on the principal

Compound Interest:Paid on both the principal and the previously earned interest

7.8 - HomeworkPage 389, 2-18 even

Bell Ringer

Steps for Solving Equations:7.1 - Review (Page 393)

7.2, 7.3 - Review (Page 393)

7.4 - Review (Page 394)

7.5 - Review (Page 394)

7.6 - Review (Page 394-395)

7.7 - Review (Page 347)

7.8 - Review (Page 395)

7.8 Review cont. (Page 395)

TEST TUESDAY!!Sections 7.1-7.8

Homework: Page 396, 2-42 even

Study:7.1-7.8 HomeworkNotesProblems from todays review