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 110 Pears 80 Oranges 60 Total 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 𝑖𝑠 𝑜𝑓 = % 100 𝑖𝑠 𝑜𝑓 = % 100 Break problem into parts using key words and set up proportion. Solve using cross-products.

(Percent must be written as decimal) 2-4 The Percent Equation Part = Percent x Whole (Percent must be written as decimal) 1.) Write out problem using percent proportion 2.) 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 = 𝐵𝑖𝑔 # −𝑆𝑚𝑎𝑙𝑙 # 𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑡 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: To find sales price: 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 1 2 years?