x = 4(3a + 7) - 2(5 + 6a). Find the value of x.
Which skills in maths will be needed to answer this question?
Solving simultaneous equations and substitution
Expanding brackets, sign rules and simplifying
Solving quadratic equations by factorising
Expand the brackets.
x = 12a + 28 - 10 - 12a
x = 7a + 7 + 3 + 6a
x = 12a + 28 - 10 + 12a
Find the value of x.
x = 18
x = 13a + 10
x = 24a + 18
Is (3n + 1)2 – (3n –1)2 a multiple of 4, for all positive integer values of n?
Which topic in maths is most relevant to answer this question?
Substitution
Expanding squared brackets
Index laws
Expand (3n + 1)2.
9n2 + 1
6n + 2
9n2 + 6n + 1
Expand and simplify (3n + 1)2 – (3n –1)2.
12n
0
18n2 + 12n + 2
No
Yes
Impossible to tell
The graph of y = x2 has been translated such that point (0,0) now goes through point (5,0). What is the equation of the new graph?
Which topic in maths is needed to answer this question?
Non-linear graphs
Transformation of curves
Distance/time graphs
Which transformation will create a translation of the graph of y = x2 in the x direction?
y = - x2
y = x2 + a
y = (x - a)2
What is the equation of the new graph?
y = (x + 5)2
y = x2 + 5
y = (x - 5)2