Elementary Algebra

Answer the questions without using a calculator. 

1. Evaluate  2x² - y² - z  if  x = 3,  y = -1  and  z = -2
   1. 15
   2. 17
   3. 19
   4. 21

    

2. Solve for x:   1 - 3(x - 4) = 2(3x + 1) - 7
   1.  
   2.   2
   3.  
   4.   7

    

3. Solve for y:   ax + by = c
    
   1.   y = c - ax - b
       
   2.  
       
   3.  
       
   4.  

    

4. The length of a rectangle is 8 feet longer than its width.  If the perimeter of the rectangle is 236 feet, what is the length of the rectangle?
   1. 114 feet
   2. 57 feet
   3. 55 feet
   4. 63 feet

    
    
    

5. The graph of  2x + y = 4  is

   a.		b.

    

   c.		d.

    

6. Jane donates 2% of her annual salary to charity and Sam donates 1% of his annual salary to charity.  The total of Jane and Sam's donations is $620.  If Jane makes $1000 more than Sam, how much is Jane's annual salary?
   1. $20,000
   2. $21,000
   3. $24,000
   4. $30,000

    

7. Find the product of the binomials:   (2a - 3b)(a + 2b)
   1. 2a² + ab - 6b²
   2. -12a²b²
   3. 2a² - 6b²
   4. 2a² + 7ab - 6b²

    

8. Simplify:  
   1.  
   2.  
   3.  
   4.  

    

9. Raise to the power indicated:  
   1.  12x
   2.  48x
   3.  7x
   4.  

    

10. Solve for x:    x² - 4a² = 0
    1. 4a²
    2. ± a
    3. ± 2
    4. ± 2a

Elementary Algebra Answers