CLEP College Algebra Practice Questions - 1

 

1. $(3x-1)^{2} $
   
      
   1. $3x^{2}+1$
      
   2. $9x^{2}-1$
      
   3. $9x^{2}+1$
      
   4. $9x^{2}-6x+1$
      
   5. $9x^{2}-3x+1$
  
2. Which of the following is a factor of $9-(x+y)^{2}$
   
      
   1. $(x+y)^{2}$
      
   2. $(x+y)$
      
   3. $3-x+y$
      
   4. $3+x+y$
      
   5. $9+x+y$
  
3. $3t(2t^{2}+1)-(4-2t^{3}+10t)+1$
   
      
   1. $8t^{2}+7t-3$
      
   2. $8t^{2}+7t+1$
      
   3. $8t^{2}-7t-3$
      
   4. $8t^{2}-7t-4$
      
   5. $2t^{3}-7t+4$
  
4. If $x+3=y$ What is the value of $|y-x|+|x-y|$
   
      
   1. $-6$
      
   2. $0$
      
   3. $3$
      
   4. $6$
      
   5. $-3$
  
5. $\frac{\frac{x^{2}-4}{x+1}}{\frac{x-2}{x-1}}$
   
      
   1. $\frac{x-1}{x+2}$
      
   2. $\frac{(x-1)(x+2)}{x+1}$
      
   3. $\frac{x^{2}-x-2}{x+1}$
      
   4. $\frac{1}{(x-1)(x+1)}$
      
   5. $\frac{x+2}{(x-1)(x+1)}$
  
6. Which of the following is a factor of $2x^{2}+4x-9$
   
      
   1. $x+\frac{2-\sqrt{22}}{2}$
      
   2. $x-2-\frac{\sqrt{22}}{2}$
      
   3. $x+2-\frac{\sqrt{22}}{2}$
      
   4. $x-\frac{2+\sqrt{22}}{2}$
      
   5. $x+2+\frac{\sqrt{22}}{2}$
  
7. $\frac{(n+2)!}{n+1}-n=$
   
      
   1. $0$
      
   2. $2$
      
   3. $n+2$
      
   4. $(n+1)!$
      
   5. $n+1$
  
8. Of the following which is greatest?
   
      
   1. $3^{(5^{7})}$
      
   2. $(3^{5})^{7}$
      
   3. $5^{(3^{7})}$
      
   4. $(5^{3})^{7}$
      
   5. $7^{(5^{3})}$
  
9. Which of the following gives all values of x for wich $|x-3| \leq 7$?
   
      
   1. $\{x/ -10 \leq x \leq 4 \}$
      
   2. $\{x/ -7 \leq x \leq 3 \}$
      
   3. $\{x/ -10 \leq x \leq -3 \}$
      
   4. $\{x/ -10 \leq x \leq -4 \}$
      
   5. $\{x/ -4 \leq x \leq -3 \}$
  
10. Which of the following are the solutions of the equation  $x^{2}-x-1=0$ ?
    
        
    1. $\frac{-1+\sqrt{5}}{2}$ or  $\frac{-1-\sqrt{5}}{2}$
       
    2. $-1+\frac{\sqrt{5}}{2}$ or  $-1-\frac{\sqrt{5}}{2}$
       
    3. $\frac{1+\sqrt{5}}{2}$ or  $\frac{1-\sqrt{5}}{2}$
       
    4. $1+\frac{\sqrt{5}}{2}$ or  $1-\frac{\sqrt{5}}{2}$
       
    5. $\frac{1+i\sqrt{5}}{2}$ or  $\frac{1-i\sqrt{5}}{2}$

Answer Key

1	D
2	D
3	C
4	D
5	B
6	D
7	B
8	A
9	C
10	C