مراجعة هيكل امتحان Exam Coverage الرياضيات الصف السابع Reveal الفصل الأول
Determine if each situation represents a proportional relationship. Explain your reasoning (Examples I and 2)
. A salad dressing calls for 3 parts oil and part vinegar. Manuela uses 2 tablespoons of vinegar and 6 tablespoons of oil to make her salad dressing
Determine if each situation represents a proportional relationship. Explain your reasoning (Examples I and 2)
. A saltwater solution for an aquarium calls for 35 parts salt to 1000 parts water. Tareq used 7 tablespoons of salt and 200 tablespoons of water
Determine if each situation represents a proportional relationship. Explain your reasoning (Examples I and 2)
. A specific shade of orange paint calls for 2 parts yellow and 3 parts red. Catie uses 3 cups of yellow paint and 4 cups of red paint to make orange paint
Determine if each situation represents a proportional relationship. Explain your reasoning (Examples I and 2)
. A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves 16 feet in 4 seconds
For each situation, complete the table given. Does the situation represent a proportional relationship ? Explain
. Fun Center rents popcorn machines for $20 per hour. In addition to the hourly charge, there is a rental fee of $35. (Example 2)
For each situation, complete the table given. Does the situation represent a proportional relationship ? Explain
. Rocko paid $12.50 for 25 game tickets Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality ? (Example 3)
For each situation, complete the table given. Does the situation represent a proportional relationship ? Explain
. Jean has $280 in her savings account Starting next week, she will deposit $30 in her account every week. (Example 2)
For each situation, complete the table given. Does the situation represent a proportional relationship ? Explain
6. A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality ? (Example 3)
For each situation, complete the table given. Does the situation represent a proportional relationship ? Explain
. The table shows the amount of dietary fiber in bananas. Use the table to find the constant of proportionality. (Example 4)
. The cost of pumpkins is shown in the table Determine whether the cost of a pumpkin is proportional to the number bought by graphing the relationship on the coordinate plane. Explain. (Example 1)
. The table shows temperatures in degrees Celsius and their equivalent temperatures in degrees Fahrenheit Determine whether the in degrees Fahrenheit is proportional to the temperature in degrees Celsius by graphing the relationship on the ccxrdinate plane. Explain. (Example 2)
. The total cost of online streaming is proportional to the number of months. What is the constant of proportionality ? (Example 3) Online Streaming of TV
Example 4 Analyze Points
The number of students on a school trip is proportional to the number of teachers as shown in the graph. The line representing the relationship is a dashed line because the number of teachers can only be a whole number
What do the points (O, O) and (I, 25)
represent
The point (O, O) means that, for zero teachers, there are zero students
The point (1, 25) means that, for one teacher, there students. This also means that the constant of prop and the unit rate is 25 students for every 1 teacher
1. Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x, where x represents the number of bracelets and y represents the total cost in dollars earned, represents this situation. What is the constant of proportionality ? What does the constant of proportionality represent in the context of the problem ? (Example 1)
. John ran 3 miles in 25.5 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation
What is the constant of proportionality What does the constant of proportionality represent in the context of the problem ? (Example 1)
. Lincoln bought 3 bottles of an energy drink for $4.50. Write an equation relating the total cost y to the number of energy drinks bought x. (Example 2)
. Marley used 7 cups of water to make 4 loaves of French bread. What equation can be used to model the total cups of water needed y for making x loaves of French bread? How many cups of water do you
need for 6 loaves of French bread ? (Example 3)
. The total cost of renting a cotton candy machine for 4 hours is $72. What equation can used to model the total cost y for renting the cotton candy machine x hours ? (Example 2)
. Mrs. Henderson used 6 yards of fabric to make 3 elf costumes. What equation can be used to model the total number of yards of fabric y for x costumes ? How many yards of fabric do you need for 7 elf costumes ? (Example 3)
. Multiselect The table shows the cost of 4 movie tickets at two theaters. Select the statements that are true about the situation
The equation y = 7.75x models the cost for tickets at Star Cinema
The equation y = 30x models the cost for tickets at Movies Galore
The total cost of 9 tickets at Star Cinema would cost $69.75
The total cost for 1 ticket at Movies Galore is $30
For each problem, use any method. Assume each relationship each relationship is proportional. (Examples 1 and 2)
I. For every three girls taking classes at a martial arts school, there are 4 boys who are taking classes. If there are 236 boys taking classes, predict the number of girls taking classes at the school
For each problem, use any method. Assume each relationship each relationship is proportional. (Examples 1 and 2)
. A grading machine can grade 96 multiple choice tests in 2 minutes. If a teacher has 300 multiple choice tests to grade, predict the number of minutes it will take the machine to grade the tests
For each problem, use any method. Assume each relationship each relationship is proportional. (Examples 1 and 2)
. Of the 50 students in the cafeteria, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair