College Level Algebra

Answer the questions without using a calculator. 

1. Add:   
   1.  
       
   2.  
       
   3.  
       
   4.  

    

2. Find the Least Common Denominator of:  
   1. x³ + 2x² - 1
   2. x⁷ - 1
   3. (x² + x)(x²  - 1)(x³ - x) 
   4. x(x + 1)(x - 1)
    
    
3. Simplify:      
   1. a² + 1
   2. a + 1
   3. a²
   4. 1

    

4. Find the equation of the given graph:
   
   
   1. y = (x + 3)² - 2
   2. y = (x - 3)² + 2
   3. y = (x + 2)² - 3
   4. y = (x - 2)² + 3

    

5. Find one of the solutions to the quadratic equation:  x² - 4x + 5 = 0
   1. 4
   2. -5
   3. 2 + i
   4. 5 + i
    
    
6. Given:  f(x) = 2x² - x + 1
   
   Find:    f(x^½)
   
   1.  
       
   2.  2fx² - fx + f
       
   3.  
       
   4.  
    
    
7. Given:  f(x) = 3x - 2
   
   Find:    f ^-1(4)
   
   1. 2
   2. 4
   3. 5
   4. 10

    

8.   = ?
   1. 1
   2. -1
   3. 5
   4. -5

College Level Algebra Answers