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Lesson 5-1 Ratios and Percents
Lesson 5-2 Comparing Fractions, Decimals, and Percents Lesson 5-3 Algebra: The Percent Proportion Lesson 5-4 Finding Percents Mentally Lesson 5-5 Problem-Solving Investigation: Reasonable Answers Lesson 5-6 Percent and Estimation Lesson 5-7 Algebra: The Percent Equation Lesson 5-8 Percent of Change Lesson 5-9 Simple Interest Chapter Menu

Five-Minute Check (over Chapter 4) Main Idea and Vocabulary
Targeted TEKS Key Concept: Percent Example 1: Write Ratios as Percents Example 2: Write Ratios as Percents Example 3: Write Fractions as Percents Example 4: Write Fractions as Percents Example 5: Write Percents as Fractions Lesson 1 Menu

Write ratios as percents and vice versa.
A ratio that compares a number to 100. Means “out of a hundred.” Lesson 1 MI/Vocab

To write a fraction as a percent:
FIND AN EQUIVALENT FRACTION WITH A DENOMINATOR OF 100! To write a percent as a fraction Write percent over 100 and reduce. Lesson 1 TEKS

Write Ratios as Percents
POPULATION According to a recent census, 13 out of every 100 people living in Delaware were 65 or older. Write this ratio as a percent. Answer: 13 out of every 100 = 13% Lesson 1 Ex1

LIBRARY At the Booktown Library, 59 out of every 100 users is 12 or under. Write this ratio as a percent. A. 28% B. 43% C. 59% D. 120% A B C D Lesson 1 CYP1

Write Ratios as Percents
BASEBALL In 2001, Manny Ramirez got on base 40.5 times for every 100 times he was at bat. Write this ratio as a percent. Answer: out of 100 = 40.5% Lesson 1 Ex2

BASKETBALL Last season, Janelle made 68 baskets for every 100 tries
BASKETBALL Last season, Janelle made 68 baskets for every 100 tries. Write this ratio as a percent. A. 56% B. 68% C. 74% D. 100% A B C D Lesson 1 CYP2

Write Fractions as Percents
TRANSPORTATION About 4 out of 5 commuters in the United States drive or carpool to work. Write this ratio as a percent. ×20 Answer: So, 4 out of 5 equals 80%. Lesson 1 Ex3

TRANSPORTATION About 3 of 5 students at Wilder Elementary ride the bus to school. Write this ratio as a percent. A. 3% B. 15% C. 60% D. 72% A B C D Lesson 1 CYP3

Write Fractions as Percents
÷2 Answer: So, 3 out of 200 equals 1.5%. Lesson 1 Ex4

A. 53% B. 61% C. 87% D. 122% A B C D Lesson 1 CYP4

Write Percents as Fractions
SCHEDULE The circle graph shows an estimate of the percent of his day that Peter spends on each activity. Write the percents for eating and sleeping as fractions in simplest from. Answer: ; Lesson 1 Ex5

SCHEDULE The circle graph shows an estimate of the percent of his day that Leon spends on each activity. Write the percent for school as a fraction in simplest form. A. B. C. D. A B C D Lesson 1 CYP5

End of Lesson 1

Five-Minute Check (over Lesson 5-1) Main Idea Targeted TEKS
Concept Summary: Real Number Properties Example 1: Percents as Decimals Example 2: Percents as Decimals Example 3: Decimals as Percents Example 4: Decimals as Percents Example 5: Fractions as Percents Example 6: Fractions as Percents Example 7: Compare Numbers Example 8: Order Numbers Lesson 2 Menu

Write percents as fractions and decimals and vice versa.
Lesson 2 MI/Vocab

DP – Percent to Decimal = Left 2
I can only compare or combine things in math if: THEY LOOK ALIKE! Converting Decimals and Percents Remember the Doctor Pepper Rules. DP – Decimal to Percent = Rt 2 DP – Percent to Decimal = Left 2 Converting Fractions and Percents Make them a decimal and then convert the decimal using DP Rules. Key Concept 5-2

Converting Fractions, Decimals and Percents
If I want to convert: Do This: Shortcut Example: Percent to Decimal 1 – Drop % 2 – Divide by 100 Move decimal 2 places LEFT 26% = 0.26 83.5% = .835 Decimal to Percent 1 – Multiply by 100 2 – Add % Move decimal 2 places RIGHT! 0.585 = 58.5% Fraction to Percent 1 – Convert fraction to decimal 2 – Convert decimal to % ½ = 0.5 0.5 = 50% Lesson 2 TEKS

= 0.52 Remove the percent symbol.
Percents as Decimals Write 52% as a decimal. 52% = 52% Divide by 100. = 0.52 Remove the percent symbol. Answer: 0.52 Lesson 2 Ex1

Write 28% as a decimal. A. 28 B. 14 C. 0.28 D. 0.14 A B C D
Lesson 2 CYP1

= 2.45 Remove the percent symbol.
Percents as Decimals Write 245% as a decimal. 245% = 245% Divide by 100. = 2.45 Remove the percent symbol. Answer: 2.45 Lesson 2 Ex2

Write 135% as a decimal. A. 1.35 B. 13.5 C. 65 D. 135 A B C D
Lesson 2 CYP2

= 30% Add the percent symbol.
Decimals as Percents Write 0.3 as a percent. 0.3 = 0.30 Multiply by 100. = 30% Add the percent symbol. Answer: 30% Lesson 2 Ex3

Write 0.91 as a percent. A. 9.1% B. 91% C. 191% D. 910% A B C D
Lesson 2 CYP3

Decimals as Percents Write 0.71 as a percent. 0.71 = 0.71 Multiply by 100. = 71% Add the percent symbol. Answer: 71% Lesson 2 Ex4

Write 1.65 as a percent. A. 1.65% B. 16.5% C. 165% D. 1,650% A B C D
Lesson 2 CYP4

Method 1 Use a proportion.
Fractions as Percents Write as a percent. Method 1 Use a proportion. 3 ● 100 = 4 ● x 300 = 4x 75 = x Lesson 2 Ex5

Method 2 First write as a decimal. Then write as a percent.
Fractions as Percents Method 2 First write as a decimal. Then write as a percent. – – Answer: Lesson 2 Ex5

A. 15% B. 25% C. 32% D. 40% A B C D Lesson 2 CYP5

Fractions as Percents – – – Answer: Lesson 2 Ex6

A. 0.9% B. 1.19% C. 8.1% D. 11.1% A B C D Lesson 2 CYP6

Compare Numbers POLITICS In Sun City, 0.45 of voters are Democrats. In Moon Town, 48% of voters are Democrats. In which town is there a greater proportion of Democrats? Write 0.45 as a percent. 0.45 = Multiply by 100. = 45% Add the percent symbol. Answer: The percent is higher in Moon Town. Lesson 2 Ex7

C. They have the same proportion.
A. Meteorville B. Star City C. They have the same proportion. A B C Lesson 2 CYP7

Order Numbers Answer: Lesson 2 Ex8

Answer: From least to greatest, the percents are 18%, 20%, 21%, and 30%. So, from least to greatest, the numbers are 18%, Lesson 2 CYP8

End of Lesson 2

Five-Minute Check (over Lesson 5-2) Main Idea and Vocabulary
Targeted TEKS Example 1: Find the Percent Example 2: Find the Part Example 3: Find the Whole Concept Summary: Types of Percent Problems Example 4: Percents Greater than 100 Example 5: Real-World Example Lesson 3 Menu

Solve problems using the percent proportion.
Compares the PART of something to the WHOLE thing The WHOLE is sometimes called the BASE!! Lesson 3 MI/Vocab

The Percent Proportion is Part = % Whole 100
NOTE: I just want you to understand the CONCEPT! DON’T get used to solving percent problems like this!! You will solve problems using the Percent Equation on the next slide!!! Lesson 3 TEKS

MUST BE A DECIMAL!!!! Percent Equation PART = WHOLE * PERCENT
Remember these words: IS means EQUALS OF means MULTIPLY PERCENT means PERCENT (AS a DECIMAL!!!) MUST BE A DECIMAL!!!! Lesson 7 TEKS

Write the percent proportion.
Find the Percent 34 is what percent of 136? Since 34 is being compared to 136, 34 is the part and 136 is the whole. You need to find the percent. Let n represent the percent. part whole Write the percent proportion. Find the cross products. Multiply. Lesson 3 Ex1

Find the Percent Divide each side by 136. Simplify.
Answer: 34 is 25% of 136. Lesson 3 Ex1

63 is what percent of 210? A. 20% B. 30% C. 35% D. 40% A B C D
Lesson 3 CYP1

Find the Part What number is 70% of 600? The percent is 70, and the whole is 600. You need to find the part. Let n represent the part. part whole Write the percent proportion. Find the cross products. Multiply. Divide each side by 100. Lesson 3 Ex2

Find the Part Simplify. Answer: 420 is 70% of 600. Lesson 3 Ex2

What number is 40% of 400? A. 80 B. 120 C. 135 D. 160 A B C D
Lesson 3 CYP2

Find the Whole 18.2 is 28% of what number? The percent is 28, and the part is You need to find the whole. Let n represent the whole. part whole Write the percent proportion. Find the cross products. Multiply. Divide each side by 28. Lesson 3 Ex3

Find the Whole Simplify. Answer: is 28% of 65. Lesson 3 Ex3

14.7 is 42% of what number? A. 27 B. 35 C. 37 D. 40 A B C D
Lesson 3 CYP3

Key Concept 5-3

Percents Greater than 100 12 is what percent of 8? 12 is being compared to 8, so 8 is the whole and 12 is the part. You need to find the percent. Let n represent the percent. part whole Write the percent proportion. Find the cross products. Multiply. Lesson 3 Ex4

Percents Greater than 100 Divide each side by 8. 150 = n Simplify.
Answer: 12 is 150% of 8. Lesson 3 Ex4

Lesson 3 CYP4

BASEBALL From 1999 to 2001, Derek Jeter had 11 hits with the bases loaded. This was about 30% of his at bats with the bases loaded. How many times was he at bat with the bases loaded? The percent is 30, and the part is 11 hits. You need to find the whole number of hits. part whole Write the percent proportion. Find the cross products. Multiply. Lesson 3 Ex5

Answer: He had about 37 at bats with the bases loaded.
Divide each side by 31. Simplify. Answer: He had about 37 at bats with the bases loaded. Lesson 3 Ex5

BASEBALL In 2005, Alex Rodriguez had 194 hits
BASEBALL In 2005, Alex Rodriguez had 194 hits. This was about 32% of his at bats. How many times was he at bat? A. about 522 times B. about 588 times C. about 606 times D. about 621 times A B C D Lesson 3 CYP5

End of Lesson 3

Key Concept: Percent-Fraction Equivalents Example 1: Use Fractions to Compute Mentally Example 2: Use Fractions to Compute Mentally Example 3: Use Decimals to Compute Mentally Example 4: Use Decimals to Compute Mentally Example 5: Real-World Example Lesson 4 Menu

Compute mentally with percents.
Lesson 4 MI/Vocab

Use the following table to help you approximate percentages.
Frequently easier to find percents by using fractions or rounding and using decimals. Use the following table to help you approximate percentages. Lesson 4 TEKS

Key Concept 5-4

Use Fractions to Compute Mentally
Compute 40% of 80 mentally. Answer: 32 Lesson 4 Ex1

Compute 20% of 60 mentally. A. 6 B. 12 C. 15 D. 20 A B C D
Lesson 4 CYP1

Use Fractions to Compute Mentally
Answer: 50 Lesson 4 Ex2

A. 100 B. 150 C. 180 D. 200 A B C D Lesson 4 CYP2

Use Decimals to Compute Mentally
Compute 10% of 65 mentally. 10% of 65 = 0.1  65 or 6.5 Answer: 6.5 Lesson 4 Ex3

Compute 10% of 13 mentally. A. 0.13 B. 0.31 C. 1.3 D. 13 A B C D
Lesson 4 CYP3

Use Decimals to Compute Mentally
Compute 1% of 304 mentally. 1% of 304 = 0.01  304 or 3.04 Answer: 3.04 Lesson 4 Ex4

Compute 1% of 244 mentally. A. 0.244 B. 2.44 C. 24.4 D. 244 A B C D
Lesson 4 CYP4

TECHNOLOGY A company produces 2,500 of a particular printer
TECHNOLOGY A company produces 2,500 of a particular printer. They later discover that 25% of the printers have defects. How many printers from this group have defects? Method 1 Use a fraction. Lesson 4 Ex5

Answer: There were 625 printers that had defects.
Method 2 Use a decimal. 1,250. Answer: There were 625 printers that had defects. Lesson 4 Ex5

TECHNOLOGY A company produces 1,400 of a particular monitor
TECHNOLOGY A company produces 1,400 of a particular monitor. They later discover that 20% of the monitors have defects. How many monitors from this group have defects? A. 140 B. 180 C. 280 D. 320 A B C D Lesson 4 CYP5

End of Lesson 4

Example 1: Determine a Reasonable Answer Lesson 5 Menu

Determine a reasonable answer.
Lesson 5 MI/Vocab

Estimating answers can frequently make hard math problems VERY easy.
Simple two step process ROUND the numbers and DO “EASY” MATH Remember this guideline: Round to “the closest easiest” number Lesson 5 TEKS

Determine a Reasonable Answer
Solve. Use the reasonable answer strategy. SHOPPING Cara sees an advertisement for a pair of shoes she likes. One pair costs $34.99 plus 5 percent tax. She wants to buy a black pair and a brown pair. Cara has $75 in her clothing budget. Can she afford both pairs of shoes? Explore You know the cost of the shoes and the sales tax rate. You want to know if two pairs of shoes plus sales tax will be more or less than $75. Plan Use mental math to determine a reasonable answer. Lesson 5 Ex1

Determine a Reasonable Answer
Solve THINK $34.99 × 2 $70 10% of $70 = $7, so 5% of $70 = $3.50 The total cost will be about $70 + $3.50 = $ Since Cara has $75, she will have enough to buy both pairs of shoes. Check Find the actual cost of the two pairs of shoes. Then compute the sales tax and compare the sum to $75. Answer: Yes, she can afford both pairs of shoes. Lesson 5 Ex1

SHOPPING David wants to buy a CD for $11
SHOPPING David wants to buy a CD for $11.99 and a pack of batteries for $3.99. The sales tax rate is 5 percent. If David has $17 in his wallet, will he have enough to buy the CD and batteries? A. yes B. no A B Lesson 5 CYP1

End of Lesson 5

Targeted TEKS Example 1: Estimate Percents of Numbers Example 2: Estimate Percents of Numbers Example 3: Estimate Percents of Numbers Example 4: Real-World Example Example 5: Estimate Percents Example 6: Estimate Percents Example 7: Estimate Percents Lesson 6 Menu

Estimate by using equivalent fractions and percents.
Compatible Numbers Numbers that are easy to multiply and divide. Lesson 6 MI/Vocab

Simple TWO step process ROUND the numbers and DO “EASY” MATH
Estimating answers and checking your answers can frequently make hard math problems VERY easy. Simple TWO step process ROUND the numbers and DO “EASY” MATH Remember these guidelines: 1) Round to “the closest easiest” number OR 2) Choose the “closest easiest” fraction Lesson 6 TEKS

Interactive Lab: Estimating Percent
Estimate Percents of Numbers Estimate 48% of 70. 2 and 70 are compatible numbers. Answer: So, 48% of 70 is about 35. Interactive Lab: Estimating Percent Lesson 6 Ex1

Estimate 51% of 60. A. about 25 B. about 30 C. about 36 D. about 40 A
Lesson 6 CYP1

Estimate Percents of Numbers
Estimate 12% of 81. Answer: So, 12% of 81 is about 10. Lesson 6 Ex2

Estimate 34% of 59. A. about 12 B. about 15 C. about 20 D. about 22 A
Lesson 6 CYP2

Estimate Percents of Numbers
Estimate 23% of 82. Answer: 23% of 82 is about 20. Lesson 6 Ex3

Estimate 25% of 33. A. about 5 B. about 6 C. about 7 D. about 8 A B C
Lesson 6 CYP3

Answer: So, the population of Houston is about 2.2 million.
POPULATION About 9% of the population of Texas lives in the city of Houston. If there are about 22 million people in the state of Texas, estimate the population of Houston. 11% is about 10% = 2.2 million Answer: So, the population of Houston is about 2.2 million. Lesson 6 Ex4

LEFT-HANDEDNESS About 11% of the population is left-handed
LEFT-HANDEDNESS About 11% of the population is left-handed. If there are about 17 million people in Florida, about how many Florida residents are left-handed? A. about 0.17 million B. about 1.2 million C. about 1.7 million D. about 3.4 million A B C D Lesson 6 CYP4

Estimate the percent 12 out of 47.
Estimate Percents Estimate the percent 12 out of 47. Answer: So, 12 out of 47 is about 25%. Lesson 6 Ex5

A. about 20% B. about 25% C. about 30% D. A B C D Lesson 6 CYP5

Estimate Percents Estimate the percent 41 out of 200. Answer: So, 41 out of 200 is about 20%. Lesson 6 Ex6

A. about 10% B. about 25% C. about 40% D. about 50% A B C D Lesson 6 CYP6

Estimate Percents Estimate the percent 58 out of 71. 58 is about 60, and 71 is about 72. Answer: Lesson 6 Ex7

A. about 25% B. C. D. about 40% A B C D Lesson 6 CYP6

End of Lesson 6

Targeted TEKS Example 1: Find the Part Example 2: Find the Percent Example 3: Find the Whole Concept Summary: The Percent Equation Example 4: Real-World Example Lesson 7 Menu

Solve problems using a percent equation.
Similar to the Percent Proportion with percent written as a decimal Lesson 7 MI/Vocab

MUST BE A DECIMAL!!!! Percent Equation PART = WHOLE * PERCENT `
Remember these words: IS means EQUALS OF means MULTIPLY PERCENT means PERCENT (AS A DECIMAL!!!) MUST BE A DECIMAL!!!! Lesson 7 TEKS

Estimate 10% of 450 is 45. So, 30% of 450 is 3 ● 45 or 135.
Find the Part Find 30% of 450. Estimate 10% of 450 is 45. So, 30% of 450 is 3 ● 45 or 135. The percent is 30. The whole is 450. You need to find the part. Let n represent the part. part = percent ● whole n = 0.3 ● 450 Write the percent equation. n = Multiply. Answer: 135 Lesson 7 Ex1

Find 20% of 315. A. 21 B. 49 C. 55 D. 63 A B C D Lesson 7 CYP1

102 = n ● 150 Write the percent equation.
Find the Percent 102 is what percent of 150? The part is 102. The whole is 150. You need to find the percent. Let n represent the percent. part = percent ● whole 102 = n ● 150 Write the percent equation. Divide each side by 150. Lesson 7 Ex2

Find the Percent 0.68 = n Simplify.
Answer: Since 0.68 = 68%, 102 is 68% of 150. Lesson 7 Ex2

Lesson 7 CYP2

144 = 0.45 ● n Write the percent equation.
Find the Whole 144 is 45% of what number? Estimate 144 is 50% of 288. The part is 144. The percent is 45. You need to find the whole. Let n represent the whole. part = percent ● whole 144 = 0.45 ● n Write the percent equation. Divide each side by 0.45. 320 = n Simplify. Answer: So, 144 is 45% of 320. Lesson 7 Ex3

186 is 30% of what number? A. 620 B. 582 C. 540 D. 476 A B C D
Lesson 7 CYP3

Key Concept 5-7

SALES TAX The price of a sweater is $75. The sales
tax is %. What is the total price of the sweater? Method 1 Find the amount of the tax first. The whole is $75. The percent is You need to find the amount of the tax, or the part. Let t represent the amount of tax. part = percent ● whole t = ● 75 Write the percent equation. t = Multiply. The tax is $4.31. The total cost of the sweater is $75 + $4.31 or $79.31. Lesson 7 Ex4

Method 2 Find the total percent first.
Find 100% % or % of $75 to find the total cost, including tax. Let t represent the total cost. part = percent ● whole t = ● 75 Write the percent equation. t = Multiply. The total cost of the sweater is $79.31. Answer: $79.31 Lesson 7 Ex4

SALES TAX The price of a pair of tennis shoes is $60
SALES TAX The price of a pair of tennis shoes is $60. The sales tax is 5 percent. What is the total price of the shoes? A. $61 B. $62 C. $63 D. $65 A B C D Lesson 7 CYP4

End of Lesson 7

Targeted TEKS Key Concept: Percent of Change Example 1: Find Percent of Change Example 2: Find Percent of Change Example 3: Find the Selling Price Example 4: Find the Sale Price Lesson 8 Menu

Find and use the percent of increase or decrease.
Selling Price Original price + markup Discount Amount by which a regular price is reduced Sale Price Selling price - discount Percent of change Percent change of a value from the ORIGINAL Percent of Increase POSITIVE percent of change Percent of Decrease NEGATIVE percent of change Markup Amount that price of an item is increased to make a profit Lesson 8 MI/Vocab

PART = WHOLE * PERCENT Percent Equation PERCENT OF CHANGE
To find Percent of Change, do the following: 1) Set up the NOO ratio: (NEW – ORIGINAL) ORIGINAL 2) Convert ratio to a decimal (“Do the Division”) 3) Convert decimal to a percent (Move the decimal). Lesson 8 TEKS

SELLING PRICE 2 Ways to find SELLING Price
1) Find the MARKUP using the percent equation 2) Add the MARKUP to the original price OR Use this formula Selling Price = original price * (100% + Markup%) Always HIGHER than the original price Lesson 8 TEKS

FIND SALE PRICE 2 Ways to find SALE Price
1) Find the DISCOUNT using the percent equation 2) Subtract the DISCOUNT from the selling price OR Use this formula Sale Price = Original SELLING Price * (100% - Discount%) Always LOWER than the original price Lesson 8 TEKS

Key Concept 5-8

Step 1 The amount of change is 150,000 – 120,000 = 30,000.
Find Percent of Change HOMES The Neitos bought a house several years ago for $120,000. This year, they sold it for $150,000. Find the percent of change. State whether the change is an increase or a decrease. Step 1 The amount of change is 150,000 – 120,000 = 30,000. Step 2 percent of change Definition of percent of change Lesson 8 Ex1

The amount of change is 30,000. The original amount is 120,000.
Find Percent of Change The amount of change is 30,000. The original amount is 120,000. = 0.25 Divide. Step 3 The decimal 0.25 written as a percent is 25%. So, the percent of change is 25%. Answer: The new amount is more than the original. The percent of increase is 25%. Lesson 8 Ex1

CLUBS Last year, Cedar Park Swim Club had 340 members
CLUBS Last year, Cedar Park Swim Club had 340 members. This year, they have 391 members. Find the percent of change. State whether the percent of change is an increase or a decrease. A. 12%; decrease B. 15%; increase C. 18%; decrease D. 21%; increase A B C D Lesson 8 CYP1

Step 1 The amount of change is 240 – 192 = 48.
Find Percent of Change SCHOOLS Johnson Middle School had 240 students last year. This year, there are 192 students. Find the percent of change. State whether the percent of change is an increase or a decrease. Step 1 The amount of change is 240 – 192 = 48. Step 2 percent of change Definition of percent of change The amount of chance is 48. The original amount is 240. Lesson 8 Ex2

Step 3 The decimal 0.20 written as a percent is 20%.
Find Percent of Change = Divide. Step 3 The decimal 0.20 written as a percent is 20%. Answer: The percent of change is 20%. Since the new amount is less than the original, it is a percent of decrease. Lesson 8 Ex2

CARS Meagan bought a new car several years ago for $14,000
CARS Meagan bought a new car several years ago for $14,000. This year she sold the car for $9,100. Find the percent of change. State whether the percent of change is an increase or a decrease. A. 25%; increase B. 25%; decrease C. 35%; increase D. 35%; decrease A B C D Lesson 8 CYP2

Method 1 Find the amount of the markup first.
Find the Selling Price MARKUP Shirts bought by a sporting goods store cost them $20 per shirt. They want to mark them up 40%. What will be the selling price? Method 1 Find the amount of the markup first. The whole is $20. The percent is 40. You need to find the amount of the markup, or the part. Let m represent the amount of the markup. part = percent ● whole m = 0.4 ● 20 Write the percent equation. m = 8 Multiply. Add the markup $8 to the cost of each shirt to find the selling price. $20 + $8 = $28 Lesson 8 Ex3

Method 2 Find the total percent first.
Find the Selling Price Method 2 Find the total percent first. The customer will pay 100% of the store’s cost plus an extra 40% of the cost. Find 100% + 40% or 140% of the store’s cost. Let p represent the price. part = percent ● whole p = 1.4 ● 20 Write the percent equation. p = 28 Multiply. Answer: The selling price of the shirts for the customer is $28. Lesson 8 Ex3

MARKUP Silk flowers bought by a craft store cost them $10 per yard
MARKUP Silk flowers bought by a craft store cost them $10 per yard. They want to mark them up 35 percent. What will be the selling price? A. $12.85 B. $13.10 C. $13.50 D. $14.25 A B C D Lesson 8 CYP3

Method 1 Find the amount of the discount first.
Find the Sale Price SHOPPING A computer usually sells for $1,200. This week, it is on sale for 30% off. What is the sale price? Method 1 Find the amount of the discount first. The percent is 30, and the whole is 1,200. We need to find the amount of the discount, or the part. Let d represent the amount of discount. part = percent ● whole d = 0.3 ● 1,200 Write the percent equation. d = Multiply. Subtract the amount of the discount from the original price to find the sale price. $1,200 – $360 = $840 Lesson 8 Ex4

Method 2 Find the percent paid first.
Find the Sale Price Method 2 Find the percent paid first. If the amount of the discount is 30%, the percent paid is 100% – 30% or 70%. Find 70% of $1,200. Let s represent the sale price. part = percent ● whole s = 0.7 ● 1,200 Write the percent equation. s = Multiply. Answer: The sale price of the computer is $840. Lesson 8 Ex4

SHOPPING A DVD sells for $28. This week it is on sale for 20% off
SHOPPING A DVD sells for $28. This week it is on sale for 20% off. What is the sale price? A. $21.65 B. $22.40 C. $23.15 D. $23.45 A B C D Lesson 8 CYP4

End of Lesson 8

Targeted TEKS Example 1: Find Simple Interest Example 2: Find the Total Amount Example 3: Find the Interest Rate Lesson 9 Menu

Solve problems involving simple interest.
Amount of money earned or paid for the use of money Principal Amount of money originally invested Lesson 9 MI/Vocab

Simple Interest Formula I = p * r * t I = amount of Interest earned
p = amount of Principal invested r = interest Rate (MUST BE A DECIMAL!) t = amount of Time principal is invested (usually in YEARS!) Solving Simple Interest problems is done by PLUG IN WHAT YOU KNOW AND SOLVE FOR WHAT YOU DON’T! Lesson 9 TEKS

Find the simple interest for $2,000 invested at 5.5% for 4 years.
Find Simple Interest Find the simple interest for $2,000 invested at 5.5% for 4 years. I = prt Write the simple interest formula. I = 2000 ● ● 4 Replace p with 2,000, r with , and t with 4. I = 440 The simple interest is $440. Answer: $440 Lesson 9 Ex1

Find the simple interest for $1,500 invested at 5% for 3 years.
B. $175 C. $215 D. $225 A B C D Lesson 9 CYP1

You need to find the total amount in an account. Notice
GRIDDABLE Find the total dollar amount in an account where $80 is invested at a simple annual interest rate of 6% for 6 months. Read the Test Item You need to find the total amount in an account. Notice that the time is given in months. Six months is year. Solve the Test Item I = prt Simple interest formula Lesson 9 Ex2

Answer: The amount in the account is $80 + $2.40 or $82.40.
Find the Total Amount I = 2.4 Simplify. Answer: The amount in the account is $80 + $2.40 or $82.40. Lesson 9 Ex2

TEST EXAMPLE Find the total amount of money in an account where $60 is invested at 8% for 3 months.
B. $61.20 C. $62.20 D. $62.30 A B C D Lesson 9 CYP2

The loan will be for 48 months or 4 years. So, t = 4.
Find the Interest Rate LOANS Gerardo borrowed $4,500 from his bank for home improvements. He will repay the loan by paying $120 a month for the next four years. Find the simple interest rate of the loan. Use the formula I = prt. To find I, first find the total amount of money Gerardo will pay. $120 ● 48 = $5,760 He will pay $5,760 – $4,500 or $1,260 in interest. So, I = 1,260. The principal is $4,500. So, p = 4,500. The loan will be for 48 months or 4 years. So, t = 4. Lesson 9 Ex3

I = prt Write the simple interest formula.
Find the Interest Rate I = prt Write the simple interest formula. 1,260 = 4,500 ● r ● 4 Replace I with 1,260, p with 4,500, and t with 4. 1,260 = 18,000r Simplify. Divide each side by 18,000. 0.07 = r Answer: The simple interest rate is 7%. Lesson 9 Ex3

LOANS Jocelyn borrowed $3,600 from her bank for home improvements
LOANS Jocelyn borrowed $3,600 from her bank for home improvements. She will repay the loan by paying $90 a month for the next five years. Find the simple interest rate of the loan. A. 7.5% B. 10% C. 12% D. 13.5% A B C D Lesson 9 CYP3

End of Lesson 9

Five-Minute Checks Image Bank Math Tools Estimating Percent CR Menu

Lesson 5-1 (over Chapter 4) Lesson 5-2 (over Lesson 5-1)
5Min Menu

1. Exit this presentation.
To use the images that are on the following three slides in your own presentation: 1. Exit this presentation. 2. Open a chapter presentation using a full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides. 3. Select an image, copy it, and paste it into your presentation. IB 1

Express the ratio 6 cups to 3 quarts in simplest form.
(over Chapter 4) Express the ratio 6 cups to 3 quarts in simplest form. A. 1:2 B. 1:3 C. 2:1 D. 2:3 A B C D 5Min 1-1

Express 400 meters in 16 minutes as a unit rate.
(over Chapter 4) Express 400 meters in 16 minutes as a unit rate. A. 2.5 m/min B. 25 m/min C. 40 m/min D. 64 m/min A B C D 5Min 1-2

A. a = 6 B. a = 11.5 C. a = 13.5 D. a = 24 (over Chapter 4) A B C D
5Min 1-3

(over Chapter 4) In the figure, triangle ABC is similar to triangle PQR. What is the missing length? A. B. C. D. A B C D 5Min 1-4

(over Chapter 4) Find the slope of a line that passes through the points (2, –1) and (1, 2). A. –3 B. C. 0 D. 1 A B C D 5Min 1-5

(over Chapter 4) A 10-foot wall casts a 15-foot shadow. How tall is a nearby tree that casts a 45-foot shadow? A. B. 15 ft C. 30 ft D ft A B C D 5Min 1-6

(over Lesson 5-1) A. 0.57% B. 5.7% C. 57% D. 570% A B C D 5Min 2-1

Write the ratio 9:20 as a percent.
(over Lesson 5-1) Write the ratio 9:20 as a percent. A. 2.2% B. 4.5% C. 22% D. 45% A B C D 5Min 2-2

Write 33% as a fraction in simplest form.
(over Lesson 5-1) Write 33% as a fraction in simplest form. A. B. C. D. A B C D 5Min 2-3

Write 60% as a fraction in simplest form.
(over Lesson 5-1) Write 60% as a fraction in simplest form. A. B. C. D. A B C D 5Min 2-4

(over Lesson 5-1) Jana took a test and got 20 questions correct out of 25. What percent did she get correct? A. 125 percent B. 80 percent C percent D. 0.8 percent A B C D 5Min 2-5

Which of the following values is not equal to the other values?
(over Lesson 5-1) Which of the following values is not equal to the other values? A. B. C. D. % A B C D 5Min 2-6

Write 23% as a decimal. A. 23 B. 2.3 C. 0.23 D. 0.023
(over Lesson 5-2) Write 23% as a decimal. A. 23 B. 2.3 C. 0.23 D A B C D 5Min 3-1

Write 106% as a decimal. A. .106 B. 1.06 C. 1.6 D. 10.6
(over Lesson 5-2) Write 106% as a decimal. A. .106 B. 1.06 C. 1.6 D. 10.6 A B C D 5Min 3-2

Write the decimal 0.0062 as a percent.
(over Lesson 5-2) Write the decimal as a percent. A. 62% B. 6.2% C. 0.62% D % A B C D 5Min 3-3

A. 173.4% B. 57.5% C. 17.4% D. 5.75% (over Lesson 5-2) A B C D
5Min 3-4

A. 2.25% B. 4.44% C. 22.5% D. 44.44% (over Lesson 5-2) A B C D
5Min 3-5

From the following options, choose the fraction that is less than 23%.
(over Lesson 5-2) From the following options, choose the fraction that is less than 23%. A. B. C. D. A B C D 5Min 3-6

(over Lesson 5-3) 7 is what percent of 35? Write a percent proportion and solve. Round to the nearest tenth if necessary. A. B. C. D. % A B C D 5Min 4-1

(over Lesson 5-3) Find 30% of 70. Write a percent proportion and solve. Round to the nearest tenth if necessary. A. B. C. D. A B C D 5Min 4-2

(over Lesson 5-3) 183 is 22% of what number? Write a percent proportion and solve. Round to the nearest tenth if necessary. A. B. C. D. A B C D 5Min 4-3

(over Lesson 5-3) What percent of 312 is 257? Write a percent proportion and solve. Round to the nearest tenth if necessary. A. B. C. D. % A B C D 5Min 4-4

(over Lesson 5-3) There are 11 players on the Tigers basketball team. Three players fouled out of the game. What percent of the players is left? Round to the nearest tenth if necessary. A. 23.3% B. 27.3% C. 36.7% D. 72.7% A B C D 5Min 4-5

(over Lesson 5-3) A seafood restaurant had 375 pounds of fish. In one week, 84% of the fish was used. How many pounds of fish were left? A. 16 pounds B. 60 pounds C. 291 pounds D. 315 pounds A B C D 5Min 4-6

Compute 20% of 60 mentally. A. 5 B. 12 C. 40 D. 120 (over Lesson 5-4)
5Min 5-1

Compute 1% of 177 mentally. A. 17.7 B. 5.6 C. 1.77 D. 0.56
(over Lesson 5-4) Compute 1% of 177 mentally. A. 17.7 B. 5.6 C. 1.77 D. 0.56 A B C D 5Min 5-2

(over Lesson 5-4) % A. B. C. A B C 5Min 5-3

(over Lesson 5-4) % A. B. C. A B C 5Min 5-4

(over Lesson 5-4) Eight ounces of milk provide 30% of a person’s daily recommended calcium. What percent does 12 ounces provide? A. 20% B. 22.2% C. 28.8% D. 45% A B C D 5Min 5-5

(over Lesson 5-4) John puts 15% of his weekly salary into savings. How much money will he have saved in 4 weeks if he makes $400 a week? A. $240 B. $1,540 C. $1,660 D. $2,440 A B C D 5Min 5-6

(over Lesson 5-5) Ming estimates that she spends 20% of her 8 hour school day in the computer lab. Does she spend approximately 1.5, 2.5, or 3.5 hours in the lab? A. 1.5 hours B. 2.5 hours C. 3.5 hours A B C 5Min 6-1

(over Lesson 5-5) The Suarez Family is going on a 1,015 mile journey across Europe. If they have completed 48% of their journey, about how many miles have they traveled: 360, 490, or 580 miles? A. 360 miles B. 490 Miles C. 580 Miles A B C 5Min 6-2

(over Lesson 5-5) Every month, Michelle goes to the bank and deposits 15% of her weekly paycheck into her savings account. If her paychecks are approximately $175 every week, how much money will be in her savings account after 12 weeks: $190, $250, or $315? A. $190 B. $250 C. $315 A B C 5Min 6-3

(over Lesson 5-5) A car rental company charges a flat rate of $ to rent a car for a week. If three friends decided to split the cost of the car evenly, about how much will each of them pay? A. $33 B. $42 C. $50 D. $58 A B C D 5Min 6-4

(over Lesson 5-6) Estimate 21% of 85. A. B. C. D. A B C D 5Min 7-1

(over Lesson 5-6) Estimate 134% of 22. A. B. C. D. A B C D 5Min 7-2

(over Lesson 5-6) Estimate the percent 7 out of 69. A. B. C. D. A B C D 5Min 7-3

(over Lesson 5-6) Estimate the percent 9 out of 46. A. B. C. D. A B C D 5Min 7-4

(over Lesson 5-6) There were 1,652 oak trees in a forest. Only 397 of the oak trees survived a fire. Estimate the percent of oak trees that survived. A. B. C. D. A B C D 5Min 7-5

Which is the best estimate of the percent represented by 61 out of 82?
(over Lesson 5-6) Which is the best estimate of the percent represented by 61 out of 82? A. 25% B. 60% C. 75% D. 80% A B C D 5Min 7-6

Find 40% of 50 using the percent equation.
(over Lesson 5-7) Find 40% of 50 using the percent equation. A. 20 B. 40 C. 80 D. 125 A B C D 5Min 8-1

Use the percent equation to find what percent of 72 is 30.
(over Lesson 5-7) Use the percent equation to find what percent of 72 is 30. A. B. C. 140 D. 240 A B C D 5Min 8-2

Use the percent equation to find 13 is 3% of what number.
(over Lesson 5-7) Use the percent equation to find 13 is 3% of what number. A. B. C. D. A B C D 5Min 8-3

Use the percent equation to find 240 is what percent of 200.
(over Lesson 5-7) Use the percent equation to find 240 is what percent of 200. A. 40% B. 83% C. 120% D. 480% A B C D 5Min 8-4

How much will a $4.95 combo meal cost after an 8% sales tax is added?
(over Lesson 5-7) How much will a $4.95 combo meal cost after an 8% sales tax is added? A. $5.35 B. $12.95 C. $39.6 D. $61.86 A B C D 5Min 8-5

(over Lesson 5-7) Fifteen out of 20 students in a class are boys. What percent of the class are girls? A. 5% B. 25% C % D. 75% A B C D 5Min 8-6

(over Lesson 5-8) Find the percent of change from 25 to 28. Round to the nearest tenth if necessary. State whether the percent of change is an increase of a decrease. 10.7%; increase B. 10.7%; decrease C. 12%; increase 12%; decrease A B C D 5Min 9-1

(over Lesson 5-8) Find the percent of change from 47 to 36. Round to the nearest tenth if necessary. State whether the percent of change is an increase or a decrease. A. 23.4%; decrease B. 23.4%; increase C. 30.6%; decrease D. 30.6%; increase A B C D 5Min 9-2

(over Lesson 5-8) Find the selling price for a book if the cost to the store is $65 and the markup is 30%. A. $45.50 B. $46.15 C. $84.50 D. $95 A B C D 5Min 9-3

Find the sale price of a $120 lamp that is on sale for 15% off.
(over Lesson 5-8) Find the sale price of a $120 lamp that is on sale for 15% off. A. $102.00 B. $112.00 C. $128.00 D. $138.00 A B C D 5Min 9-4

A $350 grill is on sale for 25% off. Find the sale price.
(over Lesson 5-8) A $350 grill is on sale for 25% off. Find the sale price. A. $437.50 B. $364.00 C. $336.62 D. $262.50 A B C D 5Min 9-5

(over Lesson 5-8) Find the amount of discount for a $28 shirt that is on sale for 65% off the original price. A. $9.80 B. $18.20 C. $20.20 D. $65.00 A B C D 5Min 9-6

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