NAME________________________________________

1. Simplity the following operations with positive and negative numbers:
 

• -6 - 4

 
•  8 - 20

 
• (-2)(-3)(-5)

 
• (-1)¹⁰

 
• ½ ÷ -2/3

 
• -8 ÷ - 1/4

2. Simplify the following using the appropriate order of operations: (1.1)

• -2 - 3(-4 - 1) + 6 ÷ 2

 
• If x = 1, y = -2 and z = 3, evaluate: x - y(z + 3) - 2 ÷ y

3. Graph each inequality on the given number line to exhibit an understanding of the ordering of numbers on a number line: (1.2)

• x -2 > 0       _________________________________

 
• x < 4           _________________________________

 
• -2 < x < 4   _________________________________

 
• 3 x > -4      _________________________________

4. Simplify the following polynomial operations: (1.4)

• 2x³ - 4x² - 10 - ( -8 + 3x² - 5x³)

 
• (2x - 4)(5x + 6)

 
• ( 4x + 5)²

5. Factor these polynomials: (1.5)

• 2x² - 8

 
• x² - 8x + 15

 
• x³ + 27

 
• 3x² - 13x - 10

 
• 2ax² - bx² + 6a - 3b

6. Simplify the following rational expressions: (1.6)

• (x² - y²) / (x³ - y³ )

 
• [ (x³ + 8) / (x² + 2) ] ÷ ( 2x + 4)

7. Simplify the following operations with radical expressions: (1.7 - 1.8)

• 

 
• (4 + 2i) - (6 - 5i)

 
• (4 + 2i)(6 - 5i)

 
• ( 2 - 3i)²