Algebraic Relationships

Each small moving box, m, costs $1.25. Which of the following equations best represents the cost, c, of buying m, moving boxes?

• m = 1.25c

• c = m + 1.25

• m = c + 1.25

• c = 1.25m

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6.6.C

Which equation best represents the relationship shown in the graph?

• m = 150h

• h = 150m

• m = 75h

• h = 75m

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6.6.C

Blueberry muffins are packaged in cartons of six. Which graph displays the relationship between the number of cartons, c, and the number of muffins, m?

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6.6.C

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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6.6.C

Which of the following best represents the dependent quantities in the graph?

• 2, 20, 4, 40

• 2, 4, 6, 8

• 20, 40, 60, 80

• 10, 20, 30, 40, 50

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6.6.C

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 equation can be used to describe the table?

• L = 0.10m

• m = 0.10L

• m = 0.10 + L

• L = 0.10 + m

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6.6.C

A point representing the location of a library is shown on the coordinate grid. An office is located 4 units away from the library.

Which ordered pair could represent the location of the office?

• (3, 0)

• (0, 4)

• (3, 3)

• (3, 4)

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6.6.C

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.

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6.6.C

Groceries are delivered by a local service. They charge an $8.00 fee for every delivery. Which table below represents c, the total cost, for each grocery purchase, g?

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6.6.C

A relationship is represented by the equation y = x - 16. Which of the following tables best represents the equation?

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6.6.C