MATH 115 Test Review 1

Which of the following number lines correctly graphs (0,5]?

• 
• 
• 
• 

What is the interval for this graph?

• [-∞, 6)

• (-4,6)

• [-4,6)

• (-∞, 6)

For the following sets, find A ∩ B.

A = {-4, -1, 0, 3, 7}

B = {0, 3, 5, -3, -4}

• {-4, 0, 3}

• {-4, 0, -3, 3}

• {5, -4, 0}

• {3, -3, 0}

For the following sets, find A ∪ B

A = {-5, -2, 1, 0, 4, 7}

B = {0, 7, 3, -2, -4}

• { -5, -4, 3, 4, 7}

• { -5, -4, -2, 0, 1, 3, 4, 7}

• {-2, 0, 7}

• { -5, -4, -2, -2, 0, 0, 1, 3, 4, 7, 7}

What number set can, at most, be Integers (ℤ)?

• {π, 2.33333..., ⅞, -0.22345}

• {½, -¼, ⅗, 5, 6, 2, -4}

• {2, 3, 4, 5}

• {-4, -3, -2, -1, 0, 1, 2}

Simplify

(3x²)^-4 y³

(6y)^-1 x^-7

• 2y⁴

  27x²

• 6y⁴

  81x

• 2y⁴

  27x

• 6y⁴

  27x

Simplify

(5xy∕y³)³

• 125x²

  y⁶

• 125x³

  y³

• 125x³y³

  y³

• 125x³

  y⁶

Identify the solution set for:

2(3x+4) = 6(x+2) - 4

• {-4, 2}

• ∅

• ℝ (all real numbers)

• {-2, 4}

Find the solution set of the equation:

2x² - 25x + 50 = 0

• ∅

• {10, 5/2}

• {10, 5}

• {2, 5}

Find the solution set for the following equation:

t / (t-2) = -2/3

• {5/4}

• {2/3}

• ∅

• {4/5}