Periodic Assessment (Algebra)

Solve the equation  $9f+11=3f+23$ 

  $f=?$  

 $5x+8y=4\$   $\frac{1}{2}x+3y=7$  

Solve the simultaneous equations to find the value of x and y.

• x= 4, y = 3

• x = - 4; y = -3

• x = - 4 ; y = 3

 $3x^2-2x-10=0.$  

Solve the equation and give your answers correct to 2 decimal places.
Choose all that is correct.

• -2.19

• 2.19

• -1.52

• 1.52

Expand and simplify. $\left(x+7\right)\left(x-3\right)$  

•  $x^2-4x+21$  

•  $x^2-4x-21$  

•  $x^2+4x-21$  

•  $x^2+4x+21$  

 $81k^2-m^2$  Factorise completely

•  $9k-m$  

•  $81k-m$  

•  $\left(9k+m\right)\left(9k-m\right)$  

•  $\left(9k-m\right)\left(9k-m\right)$  

 $3\left(x-4\right)+\frac{x+2}{5}=6$  

Solve the above equation.

•  $x=5$  

•  $x=6$  

•  $x=6.5$  

•  $x=5.5$  

Solve the simultaneous equations

• (5, 3) or (0.6, 5.8)
• (5, 5.8) or (0.6, 3)
• (3, 5) or (5.8, 0.6)
• (3, 0.6) or (5.8, 5)

Solve the simultaneous equations

• x = 1, y = 2
• x = 2, y = 1
• x = -1, y = -2
• x = -11, y = 10

Solve by completing the square.
 $x^2-4x-20=0$  

•  $x=\left\{\pm6\sqrt{2}-2\right\}$  

•  $x=\left\{\pm6\sqrt{2}+2\right\}$  

•  $x=\left\{\pm2\sqrt{6}+2\right\}$  

•  $x=\left\{\pm2\sqrt{6}-2\right\}$  

Express  $y=x^2+8x+11$  in the form $y=\left(x+a\right)^2+b$  

•  $y=\left(x+8\right)^2+11$  

•  $y=\left(x+4\right)^2+27$  

•  $y=\left(x+4\right)^2-5$  

•  $y=\left(x+8\right)^2-53$