Percents Unit Test Review

Chapter 2 Lessons 1-8

F/D/P

• Need to know all conversions– Fraction to decimal = Divide numerator by denominator– Fraction to percent = Convert fraction to decimal, then

multiply by 100– Decimal to fraction = Last place value present is

denominator—simplify– Decimal to percent = Multiply by 100– Percent to fraction = Put percent over 100—simplify– Percent to decimal = Divide by 100

F/D/P

• Convert 0.098 to a simplified fraction.

• 18% of the days in February were sunny. What fractional part of the days were NOT sunny?

F/D/P

• One-fifth of George’s class does NOT like pizza. What percent of the class does like pizza?

• What percent is equivalent to five-eighths?

• Convert 0.785 to a simplified fraction.

2-1

• Percent of a Number– Write the percent as a fraction and then multiply

OR– Write the percent as a decimal and then multiply

*You ALWAYS have to convert the percent to a fraction or decimal first!

2-1

• A survey asked people to name their favorite fruit. The results are shown in the table. Which fruit did 32% of

the people surveyed name as their favorite?

Fruit Number of People

Apples 110Pears 80

Oranges 60Total 250

2-1

• Mike asked his classmates if they watched the Hawks game last night and he found that 40% of the 30 students in his class watched the game. How many students in Mike’s class did NOT watch the game last night?

2-2

• Percent and Estimation– You can round both the % and the number or one

or the other– After rounding, follow same process to find the

percent of a number

*If you see the word approximately, your answer does not need to be exact

2-3

• The Percent Proportion =

– Break problem into parts using key words and set up proportion. Solve using cross-products.

2-4

• The Percent EquationPart = Percent x Whole

(Percent must be written as decimal)1.) Write out problem using percent proportion2.) Put into equation form and solve

2-3/2-4

• The Cunningham Middle School chess club has 55 members. 22 of the members are in seventh grade. What percent of the members of the chess club are in seventh grade?

2-3/2-4

• In the Splendor apartment complex, 35% of the apartments have one bedroom. If there are 49 one-bedroom apartments, how many apartments are in the Splendor complex?

2-3/2-4

• On SuperBowl Sunday, weather forecasters expected 5 inches of snow. Instead, it snowed 16 inches! What percentage more did it snow than was expected?

2-3/2-4

• For a school bake sale, Marlene made 36 cookies and 8 pies. What percent of the baked goods were pies? Round to the nearest whole percent.

2-3/2-4

• Suppose you earn $6 per hour at your part-time job. What will your new salary be after a 2.5% raise? Explain.

2-5

• Percent of Change– Percent of Change = x 100– Answer has 3 parts:• # % increase/decrease

*Label the original amount and new amount in problem!

2-5

Find each percent of change. Round to nearest whole percent if necessary.

• Last year, there were 91 students enrolled in kindergarten. This year, there are 77.

2-5

• In 2009, one share of stock was worth $28. By 2014, one share of the same stock was worth $62.

• The price of gasoline went from $3.45 to $3.39 in one day.

2-6

• Sales Tax, Tip, and Markup– To Find sales tax/tip/markup amount:• Change % to decimal• Multiply by original price

– To Find Total Cost:• Add tax/tip/markup amount to original price

2-6

• Total Cost should be MORE than what you started with

• Don’t round until the end if looking for total cost

• Label answers and round to nearest cent if necessary

2-6

• A limited-edition soccer ball costs $30, and the sales tax is 6.5%. What is the total cost of the soccer ball?

• The wholesale cost for shirts bought by a sporting goods store is $20 per shirt. The shirts will be marked up 40%. What will be the selling price?

2-6

• You go out to dinner and spend $38 on food. There is a 5.75% sales tax and you want to leave the server a tip of 18%. What is your final total after finding the sales tax and calculating the tip?

2-6

• A manicure costs $18. The sales tax is 8.25%. Jenna wants to tip 20%. Is $22 sufficient to cover the manicure, tax, and tip? Explain.

2-7

• Discount– To find discount amount:• Change % to decimal• Multiply by original price

– To find sales price:• Subtract discount amount from original price

2-7

• Sales price should be LESS than what you started with

• Don’t round until the end if looking for sales price

• Label answers and round to nearest cent if necessary

2-7

• John bought a new baseball bat. The regular price was $54.50, but it was on sale for 15% off. How much did it cost?

2-7

• Nathan is buying a cell phone for his business. The regular price of the cell phone is $179. If he buys the phone in the next 2 weeks, he will get a 20% discount. What will be the sale price if he buys the phone tomorrow?

2-7

• Mary and Jennifer bought identical sweaters at different stores. Mary’s sweater originally cost $65 and was discounted 25%. Jennifer’s sweater originally cost $75 and was on sale for 30% off of the original price. Which sweater was the better buy? Explain.

2-7

• A sports store is having a sale on in-line skates. They cost $135, but they are on sale for 20% off. If there is a 5.5% sales tax added after the discount, what is the total cost of the skates?

2-8

• Simple Interest I = prt

– P = $ deposited or borrowed– R = change % to decimal– T = must be in years• If time is given in months, turn into a fraction over 12 to

convert to years

2-8

• Read the problems carefully to figure out what you are solving for!

• Round to the nearest cent if necessary

2-8

• How much interest will Hannah earn in 5 months if she deposits $630 in a savings account at 6.5% simple interest?

2-8

• When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the total amount in the account after 18 years.

2-8

• Kelli Rae's inheritance from her great–grandmother was $220,000 after taxes. If Kelli Rae invests this money in a savings account that earns $18,260 in simple interest over 3 years, what is the interest rate on her account? Round to the nearest tenth.

2-8

• Mona opened a savings account with a $500 deposit and a simple interest rate of 5.6%. If there were no deposits or withdrawals, how much money is in the account after 8 years?