CSEC Algebra 004

If  $a*b\ =\ \frac{b}{a}-1$  then $7*28$  

•  $-\frac{3}{4}$  

•  $\frac{1}{4}$  

• 3

• 4

If  $x=-2,\ y=3,\ t=2$ . Then $\left(\frac{x}{y}\right)^t$  

•  $-\frac{4}{9}$  

•  $\frac{4}{9}$  

•  $\frac{4}{3}$  

•  $\frac{9}{4}$  

When 6 is added to a number and the sum is divided by three, the result is four. This statement written in mathematical symbols is

• $\frac{6+x}{3}=4$

• $\frac{6}{3}+\ x\ =\ 4$

• $\frac{6+x}{3}=\frac{4}{3}$

• $6+\frac{x}{3}=4$

The values of  $x$  and  $y$  which satisfy the equations  $x+2y=27$ and  $2x-y=19$  are respectively

• 15 and 10

• 10 and 15

• 7 and 13

• 13 and 7

 $8x^2-2xy-15y^2=$  

•  $\left(8x-15\right)\left(x+y\right)$  

•  $\left(2x+3y\right)\left(4x-5y\right)$  

•  $\left(2x-5y\right)\left(4x+3y\right)$  

•  $\left(2x-3y\right)\left(4x+5y\right)$