Algebra I Keystone

A T-shirt company has a goal to earn a monthly profit of more than $3,500. The company charges $20 per T-shirt. The company has $1,500 in monthly costs. The inequality 20x - 1,500 > 3, 500 models this situation. Which BEST describes the meaning of x in the inequality?

• the profit made from the sale of 20 T-shirts

• the profit made from 1 month of T-shirt sales

• the number of T-shirts that need to be sold for the company to meet its goal

• the number of T-shirts that need to be sold for the company to recover its monthly costs

A system of inequalities is shown. Which graph represents the system?

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Four expressions are shown. Which inequality comparing two of the expressions is true when 0.1 < x < 0.4?

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Which statement about the relation is true?

• The relation is not a function of x because all functions are linear.

• The relation is a function of x because values of x increase toward infinity.

• The relation is a function of x because each value of y corresponds to one value of x.

• The relation is not a function of x because more than one value of y may correspond to the same value of x.

A graph of a relation is shown. Removing which segment from the graph would make the relation a function of x?

• the line segment with endpoints (-4, -2) and (-3, 2)

• the line segment with endpoints (-3, 2) and (3, 3)

• the line segment with endpoints (3, 3) and (4, -3)

• the line segment with endpoints (4, -3) and (-4, -2)

The set of ordered pairs shown is a relation that is a function of x.

{(-5, 1), (-4, 1), (-3, 1), (-2, 1)}

Which ordered pairs could be included in the set so that the relation remains a function of x?

• (-6, 1) (-5, -1)

• (-6, 1) (-1, -1)

• (-2, 2) (-1, 1)

• (-3, 0) (-1, 1)

Which set of ordered pairs is a function?

• {(-10, 4), (-8, 3), (-8, 2), (-4, 1)}

• {(-2, 4), (0, 4), (2, 4), (2, 6)}

• {(1, 5), (1, 6), (2, 7), (3, 8)}

• {(-1, 1), (0, 0), (1, 1), (2, 2)}

Which one is a function?

• (2, 5), (4, 7), (7, 9), (5, 7)

• (7, 0), (6, 3), (7, 1), (4, 9)

• (3, 7), (9, 4), (3, 1), (4, 4)

• (1, 1), (0, 4), (1, 5), (2, 9)

Answer explanation

To be a function, X’s cannot repeat!

Does this graph represent a function?

• Yes

• No

Which value is NOT in the range of the function?

• 0

• 3

• 4

• 5