Algebra

• What is the acronym for expanding brackets?

  FOIL
• Which letter is the gradient for y= mx + c?

  m
• Which is the y-intercept for y= mx + c?

  c
• What is the equation for working out the gradient of a line?

  m= (change in y/ change in x)
• What type of graph is this?

  Cubic

  
• What type of graph is this?

  Reciprocal

  
• How do we find the nth term of a sequence?

  2a= … / 3a+b= … / a+b+c=… Then form an equation by using an² + bn + c
• What type of graph is this?

  Quadratic

  
• How do we find the roots of an equation on a graph?

  By finding the x-intercepts or the points where the graph intersects the x-axis
• When would we use the quadratic formula?

  When we cannot manually factorise a quadratic equation
• What is the quadratic formula?

  -b±√(b²-4ac)/2a
• How else can quadratic expressions be factorised?

  By completing the square - (x+a)² + b
• How can we find the coordinates of the turning point from (x+a)² + b?

  (-a,b)
• What are the even numbers in algebraic proof?

  2n, 2n+2, 2n+4 …
• What are the odd numbers in algebraic proof?

  2n+1, 2n+3, 2n+5 …
• If a question refers to *any* two numbers which two numbers would we use?

  Variables, e.g. 2m and 2n
• If a questions references any two *consecutive* numbers, which ones would we use?

  We would use the numbers that come before and after each other, e.g. 2n+ 1 and 2n+ 3 (odd)
• What do parallel lines have in common?

  Equal gradients
• What is the equation of a circle?

  x² + y² = r²

  
• How do we find the distance travelled on a velocity/time graph?

  Split the shape into trapezii and calculate the area of each

  
• How do we find the acceleration of a velocity/time graph?

  Draw a tangent, choose two points on your tangent and calculate the gradient

  
• What type of graph is this?

  Linear

  
• What type of graph is this?

  Exponential

  
• What is a perpendicular line?

  A negative reciprocal, e.g. -3 —> 1/3 , 2/7 —> -7/2 and 0.2 —> -5