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Accelerated Math 6/7

Chapter 9 Study Guide

|Vocabulary: | |

|Percent – | |

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|Degrees – | |

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|Circle Graph – | |

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|Percent of Change – | |

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|Percent of Increase – | |

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|Percent of Decrease – | |

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|Discount – | |

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|Markup – | |

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|Sales Tax – | |

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|Tips - | |

|8.5 Solving Proportions Using Cross Products | |

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|5 = x 10 = x x = 5 7 = x x = 2 | |

|4 20 x = 25 25 5 x = 2 16 10 x = 8 21 6 x = 2 15 6 x = 5 | |

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|6 = 8 8 = 20 8 = 6 7.5 = 9 9 = 2 | |

|x 12 x = 9 10 x x = 25 18 x x = 13.5 x 24 x = 20 x 8 x = 36 | |

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|You are saving money to buy a new bicycle. If you save $100 every 4 months, how long will it take you to save $250? ____10______ | |

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|9.1 Percents and Fractions | |

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|Write the percent as a fraction (in simplest form): | |

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|25% __1/4__ 47% __47/100___ 55% ___11/20___ 68% __17/25_ | |

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|Write the fraction as a percent: | |

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|2 12 5 20 | |

|3 _66.6 % __ 50 __24% ____ 6 __83.3 % _ 15 __133.3%_______ | |

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|An advertisement says that 4 out of 5 doctors prefer a certain product. What percent of doctors do NOT prefer the product? ___20 %_____ | |

|9.2 and 9.4 Percents and Proportions | |

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|What percent of 25 is 16? _____64%______ | |

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|54 is 75% of what number? ___72________ | |

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|What number is 27% of 250? ___67.5________ | |

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|What percent of 32 is 12? ___37.5 %________ | |

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|57 is 125% of what number? ___45.6________ | |

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|What number is 3% of 18? ___.54_______ | |

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|What percent of 64 is 20? ___31.25 %_______ | |

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|60 is 40% of what number? ___150_______ | |

|9.3 Percents and Decimals | |

|Write the percent as a decimal or the decimal as a percent: | |

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|2% _.02__ 37% _.37__ .01 ___1 %_ .124 __12.4 %_ 187% __1.87___ | |

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|.0012 __.12 %__ .94% _.0094___ 20.4% __.204___ 4.2 __420 %____ | |

|9.5 Circle Graphs | |

|Find the angle measure that corresponds to the percent of a circle: | |

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|5% = __18°_____ 70% ___252°__ 45% ___162°__ 20% __72°___ | |

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|Find the percent of a circle that corresponds to the angle measure: | |

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|234 ° = _65%_ 108 ° = __30%__ 45 ° = __12.5%__ 16 ° = __4.4%___ | |

|9.6 Percent of Increase and Decrease | |

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|Find the percent of change, then identify the percent of change as an increase or a decrease: | |

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|Original: 32 Original: 48 Original: $375 Original: $32 | |

|New: 28 New: 45 New: $400 New: $35 | |

|__12.5% __ __6.25% ___ __6.6% ______ __9.375%____ | |

|_decrease_ _decrease__ _increase____ _increase __ | |

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|9.7 Discounts, Markups, Sales Tax, and Tips | |

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|Use the information to find the new price: | |

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|Original Price: $36 Wholesale Price: $55 Food bill before tax: $25 | |

|Discount: 30% Markup: 50% Sales tax: 6% | |

|__$25.20__ __$87.50__ __$26.50_____ | |

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|Food bill before tax: $45 Wholesale Price: $70 Original Price: $24 | |

|Tip: 15% Markup: 125% Discount: 20% | |

|__$51.75___ __$157.50_ __$19.20__ | |

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|A $140 car stereo is marked up 50% and then discounted 50%. Will the final cost of the car stereo be $140? Prove it: | |

|No! The 50% markup price is $210. When you discount that amount 50%, your final cost for the stereo will be $105. | |

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|Remember, these are just examples of concepts we went over in each lesson. You will have to take this basic knowledge and APPLY it to different | |

|types of critical thinking problems! | |

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