1 / 5

Ratio and Proportional Relationship Unit # 2 Study Guide SHOW ALL YOUR WORK FOR CREDIT!!

Name: ___________________. Ratio and Proportional Relationship Unit # 2 Study Guide SHOW ALL YOUR WORK FOR CREDIT!!. RATIOS: After doing ratios, A b/c Key which means to ________________! Write Ratios in three ways : 8 boys to 11 girls – Write boys to girls

benita
Download Presentation

Ratio and Proportional Relationship Unit # 2 Study Guide SHOW ALL YOUR WORK FOR CREDIT!!

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Name: ___________________ Ratio and Proportional Relationship Unit # 2 Study Guide SHOW ALL YOUR WORK FOR CREDIT!! RATIOS: After doing ratios, A b/c Key which means to ________________! Write Ratios in three ways : 8 boys to 11 girls – Write boys to girls a) _____ b) _____, c) _____ UNIT RATES: Per means ____ * Figure out rates by dividing, * order matters when setting up a unit, For example: How many words can she type per minute? words / minutes In 10 months, 62.6 gallons of water were used. On average, how many gallons were there? There are 7 basketball players, 8 volleyball players, 12 football players, and 9 tennis players at an athletic event. Simplify the ratio!! What is the ratio of football players to basketball players? What is the ratio of tennis players to football players? Mr. LaValley drinks 12 cups of coffee in 3 hours. How many cups of coffee does he drink per hour? Maddy types 362 words in 4 minutes. How many words does she type per minute? UNIT RATES with Money: Money divided by unit , money as the numerator. Example: How much does a pen cost if 50 pens cost $6.00? $ 6.00/50 = .12 cents for one pen What is the ratio of basketball players to total athletes? Which is the better buy a pack of 50 pens for $6.00 or a pack of 75 pens for $6.75? In a school, there are 40 teachers and 400 students. What is the student to teacher ratio? Remember to simplify! Which is the better buy a 12 ounce can of soda for $.70 or a 20 ounce bottle of soda for $1.36?

  2. UNIT RATES with Money: Money divided by unit , money as the numerator. Is this graph and table proportional? Explain and show your work • Bags of sugar come in different sizes. Which is the better buy? • a 2-lb bag of sugar for $.88 • a 3-lb bag of sugar for $1.35 • a 10-lb bag of sugar for $4.10 • a 5-lb bag of sugar for $2.30 • Jars of spaghetti sauce come in different sizes. Which is the best buy? • a 32-oz jar of sauce for $4.16 • a 48-oz jar of sauce for $4.80 • a 18-oz jar of sauce for $2.16 • a 26-oz jar of sauce for $2.86 Set up a ratio by putting the x as the numerator and the y as the denominator When a 5-ft student casts an 8-ft shadow, a tree casts a shadow that is 32-ft long. Find the height of the tree A. 20 feet C. 24 feet B.29 feet D. 51 feet Proportional Ratios from a graph, table or word problem Graph & Table: 1) Line is straight 2) Line passes through the origin (0,0) 3) The ordered pairs (x,y) ratios are proportional • Proportional Ratios from a graph, table or word problem • Word Problem: Three ways to see if a problem is proportional. • Simplify both ratios (A b/c button in calculator) • Cross multiply the ratios and make sure they are equivalent • Divide the numerator by the denominator, which will change them to decimals to see if they are equivalent. • ORDER MATTERS when setting up a ratio! • For Example: NOT height_ = height_ shadow shadow height_ = shadow_ shadow height

  3. Proportional Ratios from a graph, table or word problem (ORDER MATTERS when setting up a ratio!) • Word Problem: • Three ways to see if a problem is proportional. • Simplify both ratios (A b/c button in calculator) • Cross multiply the ratios and make sure they are equivalent • Divide the numerator by the denominator, which will change them to decimals to see if they are equivalent. • Example: Proportional Ratios from a graph, table or word problem The scale of a road map is 1 inch:36 miles. What is the actual length of a road that measures 3.25 inches on the map? _ = _ Steve’s Market showed that in October, 3 gallons of milk were sold for every 2 boxes of cereal sold. If 2,864 boxes of cereal were sold in October, how many gallons of milk were sold? Soccer balls cost $84.36 for a case 12. At this rate, how much will it cost to get soccer balls for 17 players? gallons_____ = gallons_ cereal cereal Determine if the ratios can form a proportion. Show your work! 10_ = 48_ 12 56 When a 5-ft student casts an 8-ft shadow, a tree casts a shadow that is 32-ft long. Find the height of the tree 1_ = 4_ 3 12 height_ = height_ shadow shadow Mya created a map of the state of Ohio using a scale factor of 3 centimeters: 50 miles.T he actual distance from Cleveland to Columbus is 250 miles. About how far apart are Cleveland and Columbus on Mya’s map? When a 5-ft student casts an 8-ft shadow, a tree casts a shadow that is 32-ft long. Find the height of the tree. _ = _

  4. Proportional Ratios from shapes : When setting up a proportion, compare like sides to each other. 1st shape Example: . left side____ = 2nd shape left side____ bottom side bottom side 15 ft. 12 ft. x 8 ft. 18 ft. 12 ft. SOLVE: • is % • = • of 100 Percents with discount, tax and t ip: 1) Total x % OR use the percent proportion 2) Once you find tax or tip by multiplying the total by the tax percent, you ___________ it to the original price to get total amount spent. 3) Once you find the discount by multiplying the total by the discount percent, you _________ it from the original price to find the total spent Find the cost of a $10.00 shirt with a 10% discount. The sales tax is 7%. If you spent $60 on items, how much is your sales tax?

  5. Percents with discount, tax and t ip: 1) Total x % OR use the percent proportion 2) Once you find tax or tip by multiplying the total by the tax percent, you ___________ it to the original price to get total amount spent. 3) Once you find the discount by multiplying the total by the discount percent, you _________ it from the original price to find the total spent Find the total amount spent if you buy an item for $50 that is 20% off with 7% tax. A sweater that originally cost $28.00 is on sale for 30% off. What is the sale price of the sweater? Find the total amount spent at a restaurant if the bill is $155 and you tip 15% You want to buy a blender for your mom’s birthday. The blender is originally $119, on sale for 20%. Then there is an additional charge for sales tax at 7%. What is the final cost of the blender? A CD player is $119. If it is offered at a 15% discount, what is the discount?

More Related