Algebra Quiz for grade 7

 $\frac{7\left(x\ +\ 3\ \right)}{2}+\frac{5\left(2x\ -5\right)}{3}$  Express as a fraction in its simplest form

•  $\frac{41x-13}{6}$  

•  $\frac{41x\ +\ 13}{6}$  

 $\frac{3x-4}{5}-\frac{3\left(x-1\right)}{2}$  Simplify

•  $\frac{-9x+7}{10}$  

•  $\frac{6x\ +\ 7}{10}$  

Factorise 27b - 36by

• 9b( 3 + 4y )

• 9b( 3 - 4y )

Factorise 8ax + 12a - 4az

• 4a (x + 3 - z ) 
  

• 4a (2x + 3 - z ) 

 $\frac{5\left(p\ -\ q\ \right)}{2}-\frac{2q\ -\ p}{14}-\frac{2\left(p\ +\ q\right)}{7}$  Express as a fraction in its simplest form

•  $\frac{32p\ -\ 41q}{14}$  

•  $\frac{32p+41q}{14}$  

 $If\ a=\frac{b}{c-b}$  find the value of b when a = 3 and c = 10

•  $7\frac{1}{2}$  

•  $6\frac{1}{2}$  

If a number is tripled it gives the same as result as when 28 is added to it. Find the number.

• 15

• 14

Solve the given inequalities
3x  $\ge$  18

• x  $\ge$  6

• x  $\le\ 6$  

Solve the inequality
3y  $<$  -36

• y  $<$  -12

• y    > 12

A van can ferry a maximum of 12 people. By setting up an inequality, find the minimum number of vans that are needed to ferry 80 people.

• 7

• 6