Year 9 Quadratic Algebra Quiz

Which of the following is not a quadratic expression?

• $x^2–4x+6$

• $x^2-3x^3+2$

• $(x–2)(x–2)$

• $\frac{x^2}{3}+6x$

• $(2x–5)(x+4)$

The solutions to (x + 2)(x + 3) = 0 are:

• x = 2, x = 3

• x = −2, x = −3

• $x=\frac{1}{2},\ x=\frac{1}{3}$

• $x=-\frac{1}{2},\ x=-\frac{1}{3}$

• None of the above

For which of the following equations is x = ‒2 not a solution?

• $8-2x^2=0$

• $5x^2+10x=0$

• $16+4x^2=0$

• $x^2+2x+1=0$

• $-3x^2-10x-8=0$

The solutions to (3x – 4)(5x – 8) = 0 are:

• x = 4, x = 8

• x = −4, x = −8

• $x=1\frac{1}{3},\ x=\frac{5}{8}$

• $x=1\frac{1}{3},\ x=-1\frac{1}{3}$

• $x=1\frac{1}{3},\ x=1\frac{3}{5}$

The solutions for  $3m^2–34m–24=0$   are:

• A    m = −2, m = 6

• A    m = 2, m = −6

•  $m=-\frac{2}{3},\ m=12$  

•  $m=3,\ m=-\frac{8}{3}$  

•  $m=-12,\ m=\frac{2}{3}$  

The quadratic equation $4(x+2)^2–4=0$  has:

• solutions 2 and −2

• solutions 1 and −1

• solutions 3 and 1

• solutions −3 and−1

• no solutions

Solve the following quadratic equation:  $2x^2=10x$  

*Note: there may be more than one solution!!!
 

• x=0

• x=2

• x=-2

• x=5

• x=-5

Solve the following quadratic equation: $4x^2-36=0$    

  
*Note: there may be more than one solution!!!

• x=0

• x=3

• x=-3

• x=4

• x=6

Solve the following quadratic equation:    $x^2+2x-15=0$   

 
*Note: there may be more than one solution!!!

• x=0

• x=2

• x=3

• x=5

• x=-5

Solve the following quadratic equation: $x^2-10x+24=0$     

*Note: there may be more than one solution!!!

• x=0

• x=2

• x=4

• x=6

• x=10