Quiz about Year 9 ET2 Review

Question 1

$$Here\ are\ the\ first\ 4\ terms\ of\ a\ quadratric\ sequence\ 19,15,9,1$$

$$find\ the\ n^{th}\ term\ of\ this\ sequence.$$

Accepted Answer

$$-n^2-n+21$$

Answer

$$n^2+n+11$$

Answer

$$n^{2\ }+19$$

Answer

$$2n^2-3n+4$$

Question 2

$$Hence,\ or\ otherwise,\ write\ down\ the\ coordinates\ of\ the\ turning\ point\ of\ the\ graph\ x^2-6x+1.$$

Accepted Answer

(3, -8)

Answer

(-3,-8)

Answer

(3, 8)

Answer

(-3, 8)

Question 3

$$Hence,\ or\ otherwise,\ write\ down\ the\ coordinates\ of\ the\ turning\ point\ of\ the\ graph\ 2x^2-12x+23.$$

Accepted Answer

(-3, 5)

Answer

(-3,-5)

Answer

(3, -5)

Answer

(-3, 5/2)

Question 4

$$Solve\ x^2+5x+3=0$$

$$Give\ your\ answer\ correct\ to\ 2\ decimal\ places.$$

Accepted Answer

$$x=-0.70,\ -4.30$$

Answer

$$x=1,\ 3$$

Answer

$$undefined$$

Answer

$$x=0.70,\ 4.30$$

Question 5

$$Solve\ 2x^2+13x+7=0$$

$$Give\ your\ answer\ correct\ to\ 2\ decimal\ places.$$

Accepted Answer

$$x=-0.59,\ -5.91$$

Answer

$$x=1,\ 7$$

Answer

$$x=0.70,\ 4.30$$

Answer

$$x=0.59,\ 5.91$$

Question 6

Solve the simultaneous equations.

$$4x+3y=18$$

$$x-3y=7$$

Accepted Answer

$$x=5\ and\ y=-\frac{2}{3}$$

Answer

$$x=-2\ and\ y=4$$

Answer

$$x=2\ and\ y=-4$$

Answer

$$x=-5\ and\ y=\frac{2}{3}$$

Question 7

Solve the simultaneous equations.

$$4x+2y=10$$

$$5x+3y=12$$

Accepted Answer

$$x=3\ and\ y=-1$$

Answer

$$x=\frac{5}{2}\ and\ y=1$$

Answer

$$x=-3\ and\ y=1$$

Answer

$$x=-5\ and\ y=\frac{2}{3}$$

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