Pre Algebra Unit 4 Study Guide Part A

Transcription

1 Pre Algebra Unit 4 Study Guide Part A Name 1.) On a farm of 24 animals, there are 9 pigs, 10 horses, 2 dogs, and the rest are cats. What is the ratio of cats to total animals? 2.) An airplane can fly at a rate of 121 km per hour. How long would it take the plane to fly 2,840 km? 3.) On a recent day, the exchange rate between euros and U.S. dollars was 1 euro is equal to U.S. dollars. If you exchange $86, how many euros would you receive? 4.) A car uses 15 gallons of gas to go miles and 20 gallons for 494 miles. Is the relationship between gallons miles proportional? Show how you know. 5.) Sam used of an ounce of butter to make of a pound of jelly. How many ounces of butter are needed to make one pound of jelly? 5

2 Solve the proportion. 6.) 7.) Noah eats of an apple in 1 1 minutes. At this rate, how many apples could he eat in 20 6 minutes? 8.) On a recent day, the exchange rate between Indian Rupees and U.S. dollars was 1 Indian Rupee is equal to U.S. dollars. If you exchange $90, how many Rupees would you receive? 9.) Giant offers 12 donuts for $6.50 and Weis sells 15 donuts for $8.30. Find the unit price for each and determine which is the better buy. Giant Unit Price: Weis Unit Price: Better Buy: 10.) In one class, the ratio of students who are chewing gum to the total number of students is 2:8. If there are 32 students in the class, how many students are not chewing gum? 6

3 11.) This table shows the relationship between the weight of apples and how much they cost. b.) If x stands for the number of apples and y stands for the cost, write an equation that represents this situtation. 12.) Five out of every 12 students plan to go to the school dances. There are 36 students in the class. How many students plan to go to the dance this week? 13.) Below is a table based on a restaurant and the relationship of the number of people sitting at a table and the amount of time it takes to prepare their food. Complete the table assuming the relationship is proportional. Number of People 2 10 Amount of time to prepare their food (hours)

4 14.) The local pizza place sells a plain pie for $10. Each topping costs an additional $1.50. The table below shows this relationship. Is the cost of pizza proportional to the number of toppings purchased? Show how you know. 15.) The graph below shows the number of sit ups completed over time. b.) As the number of minutes increases by 1, how does the number of sit ups change? c.) What does the point (6, 300) mean? d.) If a person does sit ups for 8.5 minutes, at this rate, how many sit ups would they complete? e.) If x stands for the number of minutes and y stands for the number of sit ups, write an equation that represents the situation. f.) Write an equation for the graph. g.) Is the point (20, 100) on the line? 8

5 16.) Which of the following ordered pairs is not proportional to the others? ( 7, 28) (2, 8) (5, 20) ( 8, 40) 17.) The graph shows how many books Eli has read over time. b.) Select the equation that represents this scenario. a. b. 2 c. 2 d. 2 9

6 18.) The table shows costs of Julie s Birthday Party Guests (x) Cost (y) b.) Select the equation that represents this scenario. a. 4 b. c. 4 d ) The graph shows the cost of Erin s retirement party. Would the point (90, 140) be on the graph? 10