Linear Equations
What is the gradient and y-intercept of this equation:
y = 4x - 3
m = 4 and y-intercept = -3
The formula to determine if two lines are perpendicular:
m1 x m2 = -1
Name the two methods used to determine the solutions to simultaneous equations
Substitution and elimination
The mnemonic that represents the steps to expand binomial products:
FOIL
The HCF of 14 and 21
7
Solve the equation: 3c + 7 = -2
-3
Are these lines parallel?
y = 3x +2 and y = 3x - 4
Yes
What is being calculated when determining the answer to simultaneous equations?
The Point of Intersection
Expand 4(x + 3)
4x + 12
The HCF of 16 and 32
16
Find the gradient of the line with these points:
(2, 3) and (6, 9)
3/2
Are these lines perpendicular?
y = 2x -4 and y = -2x +7
No
What do you have to do when using the substitution method?
Substitute one equation into the other
Expand: x(x - 2) + 5(x + 2)
x2 + 3x + 10
Factorise 4x2 +6x
2x(x+3)
Find the x-intercept of y = 4x-3
3/4
Are these lines parallel?
y = 2x + 1 and 2y = 4x + 12
Yes
Solve by using the elimination method:
7x + y = 8 and -x + y = - 8
(2, -6)
x = 2 and y = -6
Expand: (x + 5)(x - 3)
x2 + 2x - 15
Factorise: x(y+2) - 3(x+2)
(y + 2)(x - 3)
Find the y-intercept and gradient of:
4x - 2y = 3
m = 2
y-intercept = -3/2
Are these lines parallel or perpendicular?
y = 3x -3 and -3y + 6 = x
Solve by using the substitution method:
y = 7 – 3x and 4x – 3y = 18
(3, -2)
Expand (2x - 1)(3x - 4)
6x2 - 11x + 4
Factorise: xy +3y +5x +15