Keystone Module Algebra

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.

A system of inequalities is shown. Which graph represents the system?

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Four expressions are shown. Which inequality comparing two of the expressions is true when 0.1 < x < 0.4?

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

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• 2

• 3

• 4

• A

• B

• C

• D

• A

• B

• C

• D

Which graph is a function?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

A graph of a relation is shown below:
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 towards 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 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)