Show:
Factorizing
Completing the square
Quadratic Formula
Simultaneous Equations (1)
Simultaneous Equations (2)
100

4 - 3p - p2 = 0

(p - 1)(p + 4) so p=1 or p=-4

100

Write the following in the form (x + h)2 + k

x2 + 5x - 5

(x + 2.5)2 - 11.25

100

solve the equations. Give solutions correct to 3 significant figures. x2 + 4x + 2 = 0

x = -0.586 or -3.41

100

4x + 6y = 5 and 3x + 4y = 4

y = -0.5 and x = 2

100

Solve the simultaneous equations y=2x and x + y = 3  

x=1 y=2

200

x2 - 5x - 36 = 0

(x + 4)(x - 9) so x=-4 or x=9

200

Solve the equations. Give your answer to 2 decimal places. x2 + 10x - 12 = 0

x = 1.08 or -11.08

200

Solve the equation. Give answer to 3 significant figures 5x2 - 9x + 2 = 0

x = 1.54 or 0.260

200

Solve the simultaneous equations 5x - y = -4 and y = 2x + 1

x=-1 and y=-1

200

Solve the simultaneous equations y = 3 - x2 and y = 5 - 3x

(1,2) (2,-1)

300

2x2 + 7x - 4 =0

(2x - 1)(x + 4) so x=1/2 or -4

300
Solve the equation correct to 3 significant figures 1/x+4 - 2/x+5 = 4
x = -3.83 or -5.43
300
Solve the equation. Give answers to 3 significant figures x(2x + 3) = 4 - 7x
x = 0.372 or -5.37
300

Mrs. Naidu bought $155 in groceries. She paid her bill with $5 and $20 notes using a total of 13 notes. Calculate how many of each type of note were used?

seven $5 and six $20

300

Solve the simultaneous equations x2 + 4y = 7 and 2y + x = 2

(3, -0.5) (-1, 1.5)

400
Solve the quadratic equation. 2/x-1 + 3/x+1 = 1
x = 0 or 5
400

Give your solution in surd form (Square root). x2 - 6x - 2 = 0

x = 3 +/- square root 11

400
Solve the quadratic equation. 2/x+1 + 4/3x-1 = 3
x = 1 or -5/9
400

Solve the simultaneous equations 2y = 4x2 - 7 and y = 6x

(3.5, 21) and (-0.5, -3)

400

Solve the simultaneous equations by graphing x2 + y2 = 25 and y = 2x + 1

(1.8, 4.7) and (-2.6, -4.3)

500
x(x - 3) = x + 21
(x + 3)(x - 7) so x= -3 or 7
500

Solve the equation. Give answer to 2 decimal places 6x2 - 3x - 2 = 0

x = 0.88 or -0.38

500
The length of a rectangular wall is 5m greater than the height of the wall. The area of the wall is 16m squared. What is the length of the wall?
7.22m
500

Solve the simultaneous equations x2 + y2 = 34 and y = 1 + 2x

(2.2, 5.4) and (-3, -5)

500

Solve the simultaneous equation by graphing. x2 + y2 = 49 and x + y = 5

(6.8, -1.8) and ( -1.8, 6.8)