GRE Practice Questions - 10 & Answer Key

1. $2(5x-5)+5(2x+2)=$
   
   1. $0$
   2. $20x$
   3. $20x-10$
   4. $20x+10$
   5. $10x^{2}+20+x+20$
   
   
2. If $x=a+2$, and $y=-8-a$ then $x+y=$
   
   
   1. $6$
   2. $10$
   3. $2a-6$
   4. $-10$
   5. $-6$
   
   
3. If $x \ne -5$, then $\frac{x^{2}+3x-10}{x+5}-(x-2)=$
   
   
4. If $(a-\frac{1}{a})^{2}=8$, then $a^{2}+\frac{1}{a^{2}}=$
   
   
   1. $8$
   2. $6$
   3. $10$
   4. $12$
   5. $100$
   
   
5. $(x+y)^{2}=16$, and $x^{2}+y^{2}=6$ then $xy=$
   
   
   1. $5$
   2. $10$
   3. $6$
   4. $4$
   5. $16$
   
   
6. $(x+y)=2$, and $x^{2}-y^{2}=6$ then $x-y=$
   
   
   1. $12$
   2. $4$
   3. $6$
   4. $\frac{1}{3}$
   5. $3$
   
   
7. $\frac{15y+3}{3}-5y=$
   
   
   1. $1$
   2. $0$
   3. $10y+1$
   4. $3$
   5. $3y+1$
   
   
   
8. if $b^{2}-a^{2}=9$ then $5(a-b)(a+b)=$
   
   
   1. $45$
   2. $\frac{9}{5}$
   3. $4$
   4. $50$
   5. $-45$
   
   
9. When $c \ne 3$, then $\frac{c^{2}-9}{c-3}=$
   
   
   1. $c-3$
   2. $1$
   3. $c+3$
   4. $3-c$
   5. $o$
   
   
10. If $b>0$, and $b^{2}-1=10 \times 12$, then $b=$
    
    
    1. $9$
    2. $1$
    3. $12$
    4. $10$
    5. $11$
    
    
    

    Answer Key

    1	B
    2	E
    3	0
    4	C
    5	A
    6	D
    7	A
    8	E
    9	C
    10	E