REVIEW 4

Factorise fully: 18x + 24

• 6(2x + 4)

• 2(9x + 12)

• 6(3x + 4)

• 3(6x + 8)

True or False?

2x + 6 = 2(x + 3)

• True

• False

Factorise:

 $-6b-8$  

•  $4(2b+2)$  

•  $-2(3b+4)$  

•  $2(3b-4)$  

•  $-2(3b-4)$ 

Factorise fully: 4x² + 8x

• 4(x² + 2x)

• 2x(2x + 4)

• 2(2x² + 4)

• 4x(x + 2)

Which of the following is the correct expansion of:

3p(4p - 7q)

• 9q

• 7p - 10pq

• 12p² - 21pq

• 12pq - 21q²

Expand and simplify:

 $\left(x-4\right)\left(x+2\right)$  

•  $x^2-2x-8$  
  

•  $x^2+2x-8$  
  

•  $x^2-6x-8$  
  

•  $x^2-2x+8$  
  

Factorise: 

 $5m^2-10m^2n$  

•  $5m^2\left(1-2n\right)$  
  

•  $5m\left(m+2n\right)$  
  

•  $m^2\left(5+2n\right)$  
  

• cannot factorise

Expand, simplify, and then factorise:  $m(4-m)-3m(2m+1)$  

•  $m-7m^2$  

•  $m-7m$  

•  $7m\left(1-m\right)$  

•  $m\left(1-7m\right)$  

Expand, simplify, and then factorise:  $k(2k+5)-k(k+1)$  

•  $k\left(k+4\right)^{ }$  

•  $k+4$  

•  $2k\left(k+3k\right)$  

•  $k^2\left(1+4k\right)$  

Select all of the situations which can be represented by the expression 25.75x + 10. (HINT: There are 2 answers)

• Carol has $25.75. She earns $10.00 for each car that she washes.

• Max has $10.00. He earns $25.75 for every lawn that he mows.

• Jin buys x postcards for $25.75 each and x keychains for $10.00 each.

• Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

• Jon buys 10 toy cars for $25.75 each.