Mastering Algebraic Expressions and Formula Rearrangement
Learn to write algebraic expressions, manipulate formulas, calculate costs based on equations, and change formula subjects efficiently.
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How would you write the algebraic expression? 2? Multiply a number ( ? ) by two. 2? + 4 Multiply a number by two and add 4. 3? 5 Multiply a number by three and subtract 5. ?2+ 6 Square a number and add 6 ? 8 Square root a number and subtract 8 ? 5 Subtract 5 from a number and square root everything RETRIEVE INSTRUCT PRACTISE SECURE
A decorating firm works out the cost of a job using this formula: ? = 25? + 150 Where C represents the total cost and t is the number of hours of work needed. What would the charge be for a job that took 10 hours? RETRIEVE INSTRUCT PRACTISE SECURE
A decorating firm works out the cost of a job using this formula: ? = 25? + 150 Where C represents the total cost and t is the number of hours of work needed. How many hours of work would be required to charge 462.50? RETRIEVE INSTRUCT PRACTISE SECURE
Often formulae need to be rearranged so that they can be used to calculate other unknown values within a problem. Rearranging formulae is also referred to as changing the subject. RETRIEVE INSTRUCT PRACTISE SECURE
Which formula has a subject? RETRIEVE INSTRUCT PRACTISE SECURE
Which formula has a subject? RETRIEVE INSTRUCT PRACTISE SECURE
Changing the Subject of a Formula ? 3 5 = ? ? ? 3 5 ? 3(? + 5) 3 + 5 3? + 15 ? = RETRIEVE INSTRUCT PRACTISE SECURE
? + 5 2 = ? ? ? + 5 2 ? 5 2 2? 5 ? = 2? 5 RETRIEVE INSTRUCT PRACTISE SECURE
4? 5 = ? ? 5 4 ? ? + 5 4 ? 4 + 5 ? + 5 4 ? = RETRIEVE INSTRUCT PRACTISE SECURE
?2 6 = ? ? ? ?? 6 ? ??? + 6 ? + 6 ? = ? + 6 RETRIEVE INSTRUCT PRACTISE SECURE
Change the subject of these formulae. ? + 3 5 ? =? + 3 ? = 5? 3 4? 3 = ? a) d) = ? 4 ? =? 2 ?2+ 4 = ? ? = ? 4 5? + 2 = ? b) e) 5 ? 2 7 = ? c) f) ? = ?2 5 ? = 2? + 14 ? + 5 = ? RETRIEVE INSTRUCT PRACTISE SECURE
Further Practice make ? the subject RETRIEVE INSTRUCT PRACTISE SECURE
Check your work RETRIEVE INSTRUCT PRACTISE SECURE
EVERY CHILD A READER Challenge Scientific Formula RETRIEVE DECODE CONNECT VISUALIS E SUMMARI SE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE
