Algebra 1 Keystone

Kylie and Rhoda are solving the equation 4(x - 8) = 7(x - 4). Kylie uses a first step that results in 4x - 32 = 7x - 28. Rhoda uses a first step that results in 4x - 8 = 7x - 4. Which statement about the first steps Kylie and Rhoda use is true?

• Kylie uses the associative property, resulting in a correct first step.

• Kylie uses the distributive property, resulting in a correct first step.

• Rhoda uses the associative property, resulting in a correct first step.

• Rhoda uses the distributive property, resulting in a correct first step.

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.

Mary measured the heights of two different plants every day. Plant A was 1 inch tall when Mary began her measuring, and it grew 0.5 inch per day. Plant B was 3 inches tall, and it grew 0.25 inch per day. On which day were plant A and plant B the same height?

• day 5

• day 8

• day 12

• day 16

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)

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)