1.
GCSE - ALGEBRAIC METHODS – EXPAND AND SIMPLiFY by Yasmeen
By Yasmeen
To expand a bracket you simply multiply everything inside the bracket by the
number outside.
2(3a + 5) Answer: 6a+10
-3 (2b-4) Answer: -6b + 12
3(5x-4) = 2(2x+5) x/2 =3
15x – 12 = 4x + 10 X = 3 x 2
4x -15x + 10 +12 X =6
- 11x + 22
- X = 22/11
- X= 2
Remember if it jumps over to the other side then the basic mathematical
operation will change to its opposite value. The basic mathematical operations
are addition, subtraction, multiplication and division.
Have a structured approach to your working-out method. This avoids
mistakes.
2x – 3 =1/2 (x-3) /2 = (x-2)/3
2X = ½ +3 Expand brackets
X = 3.5 /2 (3x-9) = (2x-4)
X = 1 ¾ (or 1.75) = 2x-3x-4+9
X=5
Simplify 2x+5y+x -3y Simplify a+4b+3a-3b
2x+x +5y -3y a+3a+4b-3b
3X + 2y 4a+b
Simplify is simply grouping together all the same algebraic expressions
( x, y,a,b …), reorder to combine them and then calculate – simples!
2.
GCSE - ALGEBRAIC METHODS – EXPAND AND SIMPLiFY by Yasmeen
By Yasmeen
Simplify 5a+4b-a+b Simplify 4(2a+3b) -6a-b
5a-a+4b+b 8a + 12b – 6a -b
4a+5b 8a – 6a +12b -b
2a + 11b
What does it mean to ‘expand and simplify?’
To expand is to get rid of the brackets. To simplify is to group up the same
terms (algebraic expressions).
Expand and simplify 3(3y+2) + 4 (y+2)
3(3y+2) + 4 (y+2) get rid of the brackets = expand
9y + 6 +4y + 8
9y+4y+6+8 group them up together = simplify
13Y+14
Expand 3x(5+3y) = 2 Expand -3(-2x +4) = 1
15X+9xy = 2 Notice how the signs change
6x -12 = 1
Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.
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