Algebra I Keystone 2019 PA State Exam

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

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

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)

• 5

• -3

• 0

• 1

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

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

−2|−2r − 4| = -12

• {5,1}

• {-5,-1}

• {-5,1}

• No Solution

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2