Algebraic Relationships of Two Variables

Which table shows values that represent the equation r = s + 10.6?

• F

• G

• H

• J

Rolando’s backpack weighs 2.5 pounds when it is empty. The total weight in pounds, y, of Rolando’s backpack when it contains x pounds of books is represented by the equation

y = x + 2.5. Which table best represents this situation?

• A

• B

• C

• D

Which equation represents the relationship of the values in the table?

• y = x + 6

• y = 6 - x

• y = x + 3

• y = 3x

Ms. Santiago asked her students to write a situation that could describe the relationship between all values of x and y in the table. Which situation best describes the relationship between all the values of x and y in the table?

• Krystal has eight times as many green socks as blue.

• Latavia had eight dollars and then saved one dollar each week.

• Steven built one model in eight months and then built one model each week.

• Lauren practiced for eight hours the first week and for nine hours each week after that.

?

Mathematical Equivalence

OFF

Which expression best represents the relationship between cars and minutes?

• x + 4

• 2x

• x + 5

• x - 5

Which situation can be represented by the equation y=74x?

• a company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours.

• A restaurant serves a total of y meals in one day, in which 74 meals are served during the first hour and x meals are served during the remaining hours.

• A company manufactures a total of 74 drinking glasses every hour, with x of glasses made of clear glass and y of them made of blue glass.

• A restaurant prepares a total of y batches of pizza sauce from 74 pounds of tomatoes, with each batch weighing x pounds.

What type of relationship does the graph represent?

• additive

• multiplicative

• none of the above

What value will complete the table to represent an additive relationship?

• 17

• 15

• 16

• 18

Which statement is true about the graph?

• Christy's age depends upon Angela's age.

• Angela's age depends upon Christy's age.

• Christy's age is the dependent variable.

• Angela's age is the independent variable.