A Quadratic and Simultaneous Equation and Algebra

1
A Quadratic and Simultaneous Equation and Algebra
2
1. a. Expand 4(v 3) b. Factorise x2 100

• 4 x v 4 x 3 4v 12
• b. (x 10)(x 10)

b. Difference between two squares
3
2. a. Solve the inequality 4y 5 lt 6 b. Make x
the subject of 3x y x 7

• a. 4y 5 lt 6
• ? 4y lt 6 5
• 4y lt 11
• y lt 11/4
• ? y lt 2¾
• b. 3x y x 7
• 3x x 7 y
• 2x 7 y
• ? x (7 y)/2

4
3. Solve the simultaneous equations 2x 5y
16 4x 3y 11
2x 5y 16 (1)
4x 3y 11 (2) (1) X 3 6x 15y
48 (2) X 5 20x 15y 55 (2) (1) 14x
7 x 0.5 Substitute x 0.5 into
(1) 1 5y 16
5y 16 1 5y 15
y 3
5
4. Solve by factorising t2 5t 24 0
t2 5t 24 0 (t 3)(t 8) 0 t -3 and 8
3 x -8 -24 3 -8 -5