Algebra

Question 1

What is the formula for a quadratic sequence?

Answer 1

2a = second difference
3a + b = 2nd term - 1st term
a + b + c = 1st term

Question 2

How do you find a midpoint of a line?

Answer 2

If you have the coordinates of each end of the line segment…
Coordinates of midpoint = (average of x-coordinates, average of y-coordinates)

Question 3

How do you work out how many solutions a quadratic equation has?

Answer 3

If the answer to the discriminant is NEGATIVE, there are NO SOLUTIONS.
If the answer to the discriminant is 0, there is ONE SOLUTION.
If the answer to the discriminant is MORE THAN 0, there are TWO SOLUTIONS.

Question 4

How can you solve simultaneous equations graphically?

Answer 4

The x and y values are the two sets of coordinates where the straight line graph intersects the quadratic graph.

Question 5

What is the rule when multiplying or dividing both sides of an inequality by a negative number?

Answer 5

Flip the inequality sign.

Question 6

y = f(x) + a is a translation of…

Answer 6

Move a units up/down

Question 7

y = f(x + a) is a translation of…

Answer 7

Move a units left/right

Question 8

y = -f(x) is a reflection in the…

Answer 8

x axis

Question 9

y = f(-x) is a reflection in the…

Answer 9

y axis

Question 10

How can we work out the turning point of a graph?

Answer 10

Write the function in completed square form - a graph of y = (x-a)* + b has a turning point at (a,b)

Question 11

How do we sketch cubic graphs?

Answer 11

1. Factorise the function.
2. If the factor is x, the curve passes through the origin. If the factor is x*, the curve touches the x-axis.
3. To work out the y-intercept, substitute x=0 into the equation.

Question 12

The area under a velocity-time graph tells you….

Answer 12

distance travelled.