EVALUATING ALGEBRAIC EXPRESSIONS Flashcards
WHAT IS A FORMULA?
AN EQUATION USED TO CALCULATE A REQUIRED VALUE.
(FORMULA - SINGULAR)
(FORMULAE - PLURAL)
WHAT DOES ALGEBRA USE IN ADDITION TO NUMBERS?
LETTERS AND SYMBOLS
HOW CAN VERBAL STATEMENTS BE TRANSLATED INTO SYMBOLS?
50 CM | X CM
5 - 2 | X - Y
26 X 58 | a x b or ab
317 / 54 | p / q
WHAT IS SUBSTITUTION?
PUTTING VALUES WHERE THE LETTERS ARE IN AN ALGEBRAIC EQUATION.
FIND THE VALUE OF 3y + 2z / x + z
WHERE X = 3 | Y = 4 | Z = 5
3y + 2z / x + z
3 x 4 + 2 x 5 / 3 + 5
22 / 8
11 / 4
2.75 or 2 3/4
TRANSPOSITION OF FORMULAE
WHAT IS TRANSPOSITION?
THE PROCESS OF MAKING A DIFFERENT LETTER THE SUBJECT OF THE FORMULA.
TRANSPOSITION OF FORMULAE
WHICH LETTER IS THE SUBJECT OF THE FOLLOWING FORMULA :-
y = ax + b
y IS THE SUBJECT OF THE FORMULA.
TRANSPOSITION OF FORMULAE
HOW CAN YOU MAKE x THE SUBJECT OF THE FORMULA BY TRANSPOSITION?
x = y - b / a
TRANSPOSITION OF FORMULAE
WHAT IS THE FIRST RULE OF TRANSPOSITION?
ALWAYS DO THE SAME THING (MATHEMATICALLY) TO BOTH SIDES OF THE EQUATION.
TRANSPOSITION OF FORMULAE
WHAT IS THE SECOND RULE OF TRANSPOSITION?
TO GET RID OF SOMETHING DO THE OPPOSITE.
THE OPPOSITE OF + IS -
THE OPPOSITE OF - IS +
THE OPPOSITE OF x IS /
THE OPPOSITE OF / IS x
TRANSPOSITION OF FORMULAE
WHAT IS THE THIRD RULE OF TRANSPOSITION?
CONTINUE UNTIL YOU HAVE THE LETTER THAT YOU WANT ON ITS OWN (SUBJECT OF THE FORMULA)
TRANSPOSITION OF FORMULAE
TRANSPOSE x = y / b
TO MAKE b THE SUBJECT
x = y / b
Xb Xb
x X b = y or xb = y
TRANSPOSITION OF FORMULAE
TRANSPOSE d = √2hr TO MAKE h SUBJECT
d² = 2hr
(SQUARE BOTH SIDES TO REMOVE SQUARE ROOT)
d² / 2r = h
OR h = d² / 2r
(DIVIDE BOTH SIDES BY 2r)
TRANSPOSITION OF FORMULAE
TRANSPOSE THE FORMULA TO MAKE T^c THE SUBJECT
T^f = (9/5 x T^c) + 32
T^f - 32 = 9/5 x T^c
(SUBTRACT 32 FROM BOTH SIDES)
5(T^f - 32) = 9T^c
(MULTIPLY BOTH SIDES BY 5)
5/9 (T^f - 32) = T^c
(DIVIDE BOTH SIDES BY 9)
T^c = 5/9 (T^f - 32) OR
T^c = 5(T^f - 32) / 9
(SWAP LHS WITH RHS)
