Solving Linear Equations
Equation of a Line
Quadratic Equations
100
4x + 7 = 71
x = 16
100
What is the gradient and the y-intercept of the following equation: y = -4x + 13
Gradient = -4
y-intercept = 13
100
Solve the following quadratic equation for x: y = x^2+8x+18
x = -3 and x = -5
200
(5)/(w+5)=(15)/(w+7)
w = -4
200
Find the equation of line shown below.
y = -x + 5
200
What are the roots and the turning point of the following parabola?
Roots: x = -2 and x = 2
Turning Point = (0,2)
300
The sum of one-fifth of Lucy's age and one-seventh of her age is 12. Use algebra to work out Lucy's age.
35
300
Write an equation of a line that is perpendicular to y = -12x + 4 that goes through the point (3, 2)
y = 1/12x + 21/12
300
Find the equation of the line of symmetry from the following equation: y =-x^2+3x+7
x = 3/2
400
(4)/(x+1)-(3)/(x+2)=(2)/(2x-1)
x = 3
400
What is the equation of a perpendicular bisector of the line segment passing through (4, 8) and (6, 16)?
y = -1/4x + 52/4
400
Write the equation of the following parabola.
y = (x-1)^2+4
500
Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours to paint a similarly-sized house. How long would it take the two painters together to paint the house?
4.8 hours
500
The point P(3,4) lies on a circle with centre (0,0). Find the equation of the tangent at P.
y = -3/4 + 25/4
500
The jet of water in a fountain is modeled by the function y=-1/10x(x-50) where x = distance from source (cm) and y = height (cm). At what distance from the source does the jet enter the water again?
50 cm