Grade 10 Mathematics Revision 1

  Expand and simplify$\left(3x\ -\ 5\right)\left(x^2+4x\ -6\right)$ 

•  $3x^3+7x^2-20x\ -12$  

•  $3x^3+17x^2+20x\ -48$  

•  $3x^3-7x^2+20x+12$  

Expand and simplify

5(p + q) + 2p – 4(q – 9q) + 4q

• 7p + 44q

• 7p + 41q

• 7p - 36q

• 7p + 41q

Factorise the following completely

 $50x–32x^3$  

•  $x\left(50-32x^2\right)$  

•  $2x\left(25\ -\ 16x^2\right)$  

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

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

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

Factorise the following completely

 $x^2+13x+42$  

•  $\left(x+6\right)\left(x-7\right)$  

•  $\left(x-6\right)\left(x+7\right)$  

•  $\left(x-6\right)\left(x-7\right)$  

•  $\left(x+6\right)\left(x+7\right)$  

Find the value of x

 $\frac{1}{2}x−10=4𝑥+4$  

•  $x=63$  

•  $x=49$  

•  $x=-49$  

•  $x=\frac{28}{9}$  

Find the value of x in the following

 $2x–1=-9x+6$  

•  $x=1$  

•  $x=\frac{7}{11}$  

•  $x=-1$  

•  $x=\frac{5}{11}$  

Simplify the following

 $\frac{y}{y-1}+\frac{6}{y+1}$  

•  $\frac{y^2+7y-6}{\left(y-1\right)\left(y+1\right)}$  

•  $\frac{y^2+7y+7}{\left(y-1\right)\left(y+1\right)}$  

•  $\frac{y^2-7y-6}{\left(y-1\right)\left(y+1\right)}$  

•  $\frac{y^2-7y+6}{\left(y-1\right)\left(y+1\right)}$