Algebraic Representations 6.4A 6.6ABC

Grapes are priced at $2.25 per pound. Which of the following equations best represents the cost, c, of buying g, pounds of grapes?

• c = 2.25g

• c = g + 2.25

• g = c + 2.25

• g = 2.25c

Which statement best describes the two tables below?

• Table B is an additive relationship, where y = x + 2.5.

• Table A is a multiplicative relationship, where y = 2.5x

• Both A and B are correct.

Which equation best represent the relationship show in the graph below?

• m = 60g

• g = 30m

• g = 60m

• m = 30g

Which equation best represents the relationship?

• d = h + 9

• h = 9d

• h = d + 9

• d = 9h

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

• Each student begins the candy hunt with 15 pieces of candy in their bag.

• Emery earns $15 per hour babysitting.

• Joshua spent $15 of his money at the movie theater.

• Each homeroom class has at least 15 students.

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

• 2, 20, 4, 40

• 2, 4, 6, 8

• 20, 40, 60, 80

• 10, 20, 30, 40, 50

Two students write the equaiton below.

Sarah: y = 3x

Camille: y = x + 3

Mrs. Jeffery states that in Sarah's equation, y is three times as much as x, and in Camille's equation, y is _____.

• 3 less than x

• 3 more than x

• 3 times as much as x

• the same as the value of x

Which of the following best represents the independent quantities in the table?

• 2, 7.5, 3, 11.5

• 7.5, 11.25, 18.75, 30

• 2, 3, 5, 8

• 20, 30, 50, 80

Which of the following tables best represents the relationship between p and f in the equation p = f + 0.5?

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The following graph shows the relationship between the number of times a gear can rotate in a period of time. Which of the following statements is true?

• The number of rotations and the number of minutes are both independent quantities.

• The number of rotations is the dependent quantity and the number of minutes is the independent quantity.

• The number of rotations is the independent quantity and the number of minutes is the dependent quantity.

• The number of rotations and the number of minutes are both dependent quantities.