Algebra Keystone Items and Scoring Sampler

Darlene is collecting prize tickets. The equation y = 2x + 1 describes the relationship between the number of days (x) since she began collecting and the number of prize tickets (y) she has collected. Which statement correctly describes a solution to the system?

• Darlene has collected 2 prize tickets at the end of 1 day.

• Darlene has collected 4 prize tickets at the end of 9 days.

• Darlene has collected 22 prize tickets at the end of 10 days.

• Darlene has collected 25 prize tickets at the end of 12 days.

Which graph shows the solution set of the inequality |2x - 7| > 3?

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The solution set of an inequality is shown. Which inequality has the solution set shown in the graph?

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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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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)

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)}

Does this graph represent a function?

• Yes

• No

Which value is NOT in the range of the function?

• 0

• 3

• 4

• 5