Algebraic Representations of Two-Variable 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

Groceries are delivered by a local service. Their charge is shown by the equation below.

c = g + 5.75

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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 is not true in the equation y = 9x?

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

• The equation represents an additive relationship.

• The value of y is 76.5 when the value of x is 8.5.

• The equation represents a multiplicative relationships.

Which equation best represents the relationship shown in the graph above?

• m = 150h

• h = 150m

• m = 75h

• h = 75m

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 your work on the test.

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

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

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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 statement best describes the tables above?

• Only the first table is a multiplicative relationship.

• Only the second table is a multiplicative relationship.

• Both tables are multiplicative relationships.

Which statement best describes the two equations below?

y = 5x

y = 5 + x

• The relationship y = 5 + x will increase slower than the relationship y = 5x.

• The relationship y = 5x will always have a value greater than the relationship y = 5 + x.

• The relationship y = 5 + x will always have a value greater than the relationship y = 5x.