Keystone Practice #1

• √x > x²

The greatest common factor (GCF) of x³y^k and x^2ky⁴ is x³y³. What is the value of k?

• 1

• 2

• 3

• 4

Which equation correctly shows that (x²)⁴ = x⁸?

• (x²)⁴ = (x²)(x²)(x²)(x²) = x • x • x • x • x • x • x • x = x⁸

• (x²)⁴ = (x²)(x⁴) = x⁸

• (x²)⁴ = 4(x²) = 8x = x⁸

• (x²)⁴ = 4(x²) = x² + x² + x² + x² = x⁸

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

• (x + 2)

• (x + 4)

• (2x - 3)

• (2x - 4)

Tags

CCSS.HSA.APR.B.2

Anna's Bakery 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 delivery order?

• y = 1.15x

• y = 12.10x

• y = 1.15x + 10.95

• y = 10.95x + 1.15

Tags

CCSS.6.EE.C.9

Kylie and Rhoda are solving the equation 4x - 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 of the equation?

• 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.

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.8.EE.C.8C

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

• Graph A

• Graph B

• Graph C

• Graph D

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

• ^-x/₄ > ^-1/₂

• ^-x/₄ > ¹/₂

• ^x/₄ > ^-1/₂

• ^x/₄ > ¹/₂

Tags

CCSS.6.EE.B.8