PA Algebra Keystone

Which equation correctly shows that (x²)⁴ = x⁸

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When factored completely, which is a factor of 6x³ - 12x² - 48x?

• (x + 2)

• (x + 4)

• (2x - 3)

• (2x - 4)

Anna's Baker charges a delivery fee of $10.95 for one delivery order of cupcakes. Each cupcake in the order costs $1.15. Which equation describes the relationship between the number of cupcakes ordered (x) and the total cost (y), in dollars, of the deliver order?

• y = 1.15x

• y = 12.10x

• y = 1.15x + 10.95

• y = 10.95x + 1.15

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

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.

Which graph represents a function?

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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)