CLEP College Algebra Practice Questions - 2

1. Determine the range of the following function : $f(x)=-x^{4}+5$
   
   
   1. $y \geq 5$
   2. $y \geq -5$
   3. $y \geq 4$
   4. $y \leq -4$
   5. $y \leq 5$
   
   
2. Solve the equation : $3(6x+2)=2x$
   
   
   1. $x=- \frac{3}{8}$
   2. $x=\frac{3}{8}$
   3. $x=\frac{8}{3}$
   4. $x=-\frac{8}{3}$
   5. $x=-3$
   
   
3. What is the multiplicative inverse of $-7$?
   
   
   1. $\frac{1}{7}$
   2. $-\frac{1}{7}$
   3. $0$
   4. $7$
   5. $-7$
4. Simplify : $\sqrt{169}.\sqrt{81}.\sqrt{196}$
   
   
   1. $13689$
   2. $21294$
   3. $1638$
   4. $1764$
   5. $12356$
5. Factor: $b^{2}-121$
   
   
   1. $(b-11)(b+11)$
   2. $(b^{2}-11)(b^{2}+11)$
   3. $(b^{2}+11)(b^{2}+11)$
   4. $(b-11)(b-11)$
   5. $(b+11)(b+11)$
6. Solve: $1+\frac{1}{x}=\frac{12}{x^{2}}$
   
   
   1. $x=-4$ or $x=3$
   2. $x= 4$ or $x=-3$
   3. $x=-4$ or $x=-4$
   4. $x=-3$ or $x=3$
   5. $x= 6$ or $x=-2$
7. Factor the following equation: $a^{2}-2a-35$
   
   
   1. $(a-7)(a+5)$
   2. $(a+7)(a+5)$
   3. $(a-5)(a-7)$
   4. $(a-1)(a+35)$
   5. $(a-35)(a+1)$
8. Solve the following inequality: $9(6-2x) \leq -12$
   
   
   1. $x\geq 11$
   2. $x \leq \frac{11}{3}$
   3. $x \geq \frac{11}{3}$
   4. $x\geq$ 3
   5. $x \leq$ -11
9. Determine the x-intercepts of the following parabola: $y=3x^{2}+x-14$
   
   
   1. $(2,0)$ and $(-\frac{7}{3},0)$
   2. $(2,0)$ and $(-3,0)$
   3. $(-\frac{3}{7},0)$ and $(-4,0)$
   4. $(0,2)$ and $(0,-\frac{7}{3})$
   5. $(0,-\frac{7}{3})$ and $(2,0)$
   
   
10. A Graph of $x^{2} + y^{2} = 9$ is a
    
    
    1. Parabola
    2. Hyperbola
    3. Circle
    4. Line
    5. ellipse