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3-7 PERCENT EQUATIONS MIS S BA TTAGLIA – AL G EBRA 1 CP OBJ ECTIVE: USE E QUAT IONS TO SOLVE PRO BLEMS IN VOLV I NG P ERCENTS AND FIND SIMPLE I NTE REST.

3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

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Page 1: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

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Page 2: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

WARM UP

Solve each equation.

1) 3.2(m + 5) = 16 2)

Page 3: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

QUICK REVIEW!!!

A percent is a ratio that compares a number to 100. You can write a percent with the percent symbol as a fraction or a decimal.

Ex: 40% = = .40

Page 4: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

SYMBOLS REPRESENT WORDS

is of wha

t = x n

What is 40% of 8?

n = .40 x 8

Page 5: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

WRITE AN EQUATION TO MODEL EACH QUESTION.

1)What is 25% of 12?

2)3 is 75% of what?

3)What percent of 44 is 11?

4)16% of what is 200?

Page 6: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

SALES

Suppose you work at a computer store. You earn 5% commission on everything you sell. How much do you earn on a computer you sell for $1900.

Page 7: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

SURVEYS

55%

6%

12%

12%

15%

What do you Think Is the Number One

Problem in the World Today?

Drug Abuse OtherTerrorism HungerNuclear War

In a survey, 1650 students said that drug abuse is the number one problem in the world today. How many students were surveyed?

Page 8: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

THINK ABOUT IT…

Can percents be numbers greater than 100? If yes, give an example.

Page 9: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

EXAMPLE

Suppose SHS requires 36 hours of community service. You spent 56 hours volunteering at a hospital. What percent of the requirement have you fulfilled?

Page 10: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

SIMPLE INTEREST

Today banks use compound interest, which we will study in Chapter 8. Compound interest is based on simple interest. Its formula is I = prt. (I = interest, p = principal, r = rate per year, t = time in years)

Ex: I = ? if p = $340, r = 6%, t = 3 yr

Page 11: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

FINANCE

Suppose you invested $900 for two years. You earned $67.50 in simple interest. What was the annual rate of interest?

Page 12: 3-7 PERCENT EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: USE EQUATIONS TO SOLVE PROBLEMS INVOLVING PERCENTS AND FIND SIMPLE INTEREST

HOMEWORK

Pg 142-143 # 2, 4, 5, 8 , 9 , 11, 12, 13, 20, 22, 23, 27, 36, 38