GMAS Algebraic Representations

Burger Town sells cheeseburgers for $7.95 per cheeseburger (c). Which of the following equations best represents the total cost, t, of a cheeseburger?

A standard bathtub fills at a rate of y = 12x. Which of the following tables best represents the equation?

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The table shows the relationship between the distance away from the airport and the cost of a taxi ride to the airport. Which equation best represents the relationship in the table?

IMPORTANT: The top row represents (d) number of miles. The bottom row represents (c) total cost.

• c = 2.5d

• d = 2.5c

The table below shows the relationship between the number of miles traveled and the number of gallons of gas used. Which of the following statements best represents the relationship?

• The number of miles is the dependent quantity and the number of gallons is the independent quantity.

• The number of miles and the number of gallons are both dependent quantities.

• The number of gallons and the number of miles area both independent quantities.

• The number of miles is the independent quantity and the number of gallons is the dependent quantity.

The total number of eggs, y, contained in x cartons can be represented by the equation y = 12x. Which graph best represents this situation?

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The table below shows the relationship between the number of bridesmaid bouquets and the number of flowers. Which equation best represents the relationship? The first column is number of bouquets (b) and the second column is number of flowers (f).

• b = 15f

• f = 15b

• f = b + 15

• f = 15 - b

Marcy will earn 3 reward points for each movie she attends. Which equation represents the relationship between y, the total points and x the number of movies?

• y = 3x

• y = -3x

• x = 3y

• x = -3y

The graph shows the amount of money that Janice saves each week from her summer job. Which best represents the dependent variable?

• The number of weeks

• The amount earned each week

• The total savings in dollars

• The number of hours she worked each week

Two equations are shown. Which statement best explains the relationship between the equations?

y = 3x

y = x + 3

• in y = x + 3, the value of y is 3 more than the value of y = 3x

• In y = 3x, the value of y is 3 times the value of y in the equation y = x + 3

• In y = 3x, the value of y is three times the value of x, and in y = x + 3 the value of y is three less the value of x

• In y = 3x, the value of y is three times the value of x, and in y = x + 3, the value of y is three more than the value of x.

Line A represents the equation y = 5x. Line B represents the equation y = x + 5. Which statement best describes the relationship between line A and line B?

• Line A will always be greater than line B.

• Line A and line B start at the same point.

• Line A increases more rapidly than line B.

• Line B increases more rapidly than line A.