Equations to Represent Relationships Between Two Quantities

The total number of cookies, y, contained in x packages can be represented by the equation y = 24x. Which of the following graphs best represents this situation?

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Which of the following situations is best represented by the equation y = 15x?

• Mr. Salazar curved the test by 15 points.

• There were 15 more questions on the test than the last test.

• Mr. Salazar took off 15 points for not showing work on the test.

• On the test, each question correct was worth 15 points.

Which statement best describes the relationship between x and y in the equation y = 6 + x?

• The value of y is six less than the value of x.

• The value of y is six times the value of x.

• The value of x is six more than the value of y.

• The value of y is six more than the value of x.

Which statement best describes the two tables below?

• Only table A is a multiplicative relationship.

• Only table B is a multiplicative relationship.

• Both table A and table B are multiplicative relationships.

• Both table A and table B are additive relationships.

Alex works as a lawnmower and his company pays him $5 a day plus an additional $5 every hour he works. Which graph represents the amount of earnings that Alex can make each day?

• A

• B

• C

• D

Rasco Middle School is organizing a walk-a-thon to raise money to go on a field trip. Students are asking people to pledge $0.10 per lap during the walk-a-thon. Which of the following statements best describes the table?

• The number of laps is the dependent quantity and the total money pledged is the independent quantity.

• The number of laps and the total money pledged are both independent quantities.

• The number of laps is the independent quantity and the total money pledged is the dependent quantity.

• The number of laps and the total money pledged are both dependent quantities.

The cost to rent a storage unit is $30 per month plus a one-time application fee of $20. Which table best represents this situation?

• A

• B

• C

• D

What do equations in algebra show?

• Relationships between two expressions

• Historical timelines

• Geographical locations

• Biological processes

What is the first step in solving the equation 4(x + 2) = 20?

• Subtract 2

• Distribute the 4

• Combine like terms

• Divide by 4

What is the solution to the equation 6w - 9 = 15?

• w = 7

• w = 6

• w = 4

• w = 5