A-level Mathematics/OCR/C1/Equations/Problems
Manipulating Equations edit
Collecting Like Terms edit
Simplify the following:
Multiplication edit
Simplify the following:
Fractions edit
Simplify the following:
Solving Equations edit
Changing the Subject of an Equation edit
1. Solve for :
2. Solve for :
3. Solve for :
4. Solve for :
5. Solve for :
Solving Quadratic Equations edit
Find the Roots of:
Simultaneous Equations edit
Example 1
At a record store, 2 albums and 1 single costs £10. 1 album and 2 singles cost £8. Find the cost of an album and the cost of a single.
Taking an album as and a single as , the two equations would be:
You can now solve the equations and find the individual costs.
Example 2
Tom has a budget of £10 to spend on party food. He can buy 5 packets of crisps and 8 bottles of drink, or he can buy 10 packets of crisps and 6 bottles of drink.
Taking a packet of crisps as and a bottle of drink as , the two equations would be:
Now you can solve the equations to find the cost of each item.
Example 3
At a sweetshop, a gobstopper costs 5p more than a gummi bear. 8 gummi bears and nine gobstoppers cost £1.64.
Taking a gobstopper as and a gummi bear as , the two equations would be: