A-level Mathematics/OCR/C1/Equations/Problems

Manipulating Equations Collecting Like Terms Simplify the following: Multiplication Simplify the following: Fractions Simplify the following: Solving Equations Changing the Subject of an Equation 1. Solve for : 2. Solve for : 3. Solve for : 4. Solve for : 5. Solve for : Solving Quadratic Equations Find the Roots of: Simultaneous Equations 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: Equations/Problems