9TH MATHS (1-5 Chapter Revision)

Without actually calculating the cubes find the value of

 $28^{3^{ }}+\ \left(-15\right)^3+\ \left(-13\right)^3$  

• 16380

• -16380

• 15380

• -15380

 $$  If  $x-2$  is  a factor of  $x^{3^{ }}-2ax^2+ax-1\$  then the value of  $a$  is

•  $\frac{7}{6}$  

•  $-\frac{7}{6}$  

•  $\frac{6}{7}$  

•  $-\frac{6}{7}$  

 $$  If   $x+y+z=0$  then  $x^3+y^3+z^3$  is equal to

•  $3xyz$  

•  $-3xyz$  

•  $xy$  

•  $-2xy$  

 $$  The factors of   $6x^2+5x-6$  are

•  $\left(2x-3\right)\left(3x-2\right)$  

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

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

•  $\left(2x+3\right)\left(3x+2\right)$  

 $$  The factors of   $x^3-2x^2-x+2$  are

•  $\left(x-1\right)\left(x-1\right)\left(x-2\right)$  

•  $\left(x+1\right)\left(x+1\right)\left(x+2\right)$  

•  $\left(x+1\right)\left(x-1\right)\left(x+2\right)$  

•  $\left(x-1\right)\left(x+1\right)\left(x-2\right)$  

After rationalising the denominator of 

 $\frac{7}{3\sqrt{3}-2\sqrt{2}}$  , we get the denominator as

• 13

• 19 

• 5

• 35

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

If the decimal representation of a number is non-terminating, non-repeating then the number is

• a natural number

• a whole number

• a rational number

• an irrational

 $2^{\frac{1}{3}}\times\ 2^{\frac{1}{6}}$  is equal to

• 2

•  $2^{\frac{1}{2}}$  

•  $2^{\frac{1}{3}}$  

• 3

The decimal expansion of an irrational number may be:

• terminating

• recurring

• either terminating or non terminating

• non terminating and non recurring

The point X(-6, 4) lies in

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV