Honors Algebra Semester 2 Final Review

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

What is the vertex of this quadratic equation?  
y = 2(x - 2)²  +  5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Solve by factoring:

• {4, -7/2}

• {-7/2, -2}

• {4, 7}

• {-2, 7}

Solve by factoring:

• {-5,7}

• {-7, 5}

• {5, 7}

• {-5, -7}

Solve:

• -3 < x > -3

• -6 < x < -6

• -3 < x < -3

• -6 < x > -6

Factor completely:

• 2(2a⁴b² - 3a³b²)

• 2a³b²(2a - 3)

• a³b²(4a - 6)

• 2a²b²(2a² - 3)

Find the slope of the line that passes through
(10, 1) and (5, 2)

• 1/5

• -1/5

• 5

• -5

Which equation is parallel to 
y = 4x + 6

• y = 1/4x + 7

• y = -1/4x + 7

• y = -4x + 7

• y = 4x + 7

Which equation is perpendicular to:
 y = -6x +2

• y = 6x +1

• y = 1/6x +4

• y = -6x +3

• y = -1/6x +5