Algebra 1 Keystone

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

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.

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?

• 
• 
• 
• 

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

• 
• 
• 
• 

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

The table represents a function of x.

Which equation describes the function?

• y = -2x + 12

• y = -2x + 24

• y = 2x + 12

• y = 2x + 24

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)