Keystone Algebra Practice Questions

Find the product.
(x + 7)²

• x² + 7x + 7x + 49

• x² + 7x + 7

• 7x² + x + 7

• x² + 14x + 49

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

A relation is shown below:
{(2, 140), (5, 350), (14, 960)}
What is the domain of the relation?

• {2, 5, 14}

• {140, 350, 960}

• {all whole numbers from 2 to 14}

• {all whole numbers from 140 to 960}

The greatest common factor (GCF) of 2 monomials is 3x²y.  One of the monomials is 3x⁴y.  Which could be the other monomial?

• 3xy²

• 6x²y³

• 9x⁶y²

• 18x⁶y²

• A

• B

• C

• D

Which graph is a function?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

• A

• B

• C

• D

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

Simplify: 
(3x²+8x-8)-(-x²+6x+4)

• 2x²+8x-4

• 2x²+8x-12

• 4x⁴+8x-4

• 4x²+2x-12

The set of ordered pairs shown below 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)