3173890
Description
Mind Map by Sally Stroobant, updated more than 1 year ago
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Created by Sally Stroobant
over 8 years ago
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Algebra
- Expanding Brackets
- 6(x+y)
- =6x+6y
- =6x+6y
- https://www.youtube.com/watch?v=-mVG_6745B8
- 2(x+3)
- =2x+6
- =2x+6
- a(x+y)
- =ax+ay
- =ax+ay
- https://www.mathsisfun.com/algebra/expanding.html
- 3p(x+y)
- =3px+3py
- =3px+3py
- 2(4x+y)+8(3x+2y)
- =8x+2y+24x-16y
- =32x-18y
- =32x-18y
- =8x+2y+24x-16y
- Each term inside the brackets is multiplied by the term outside.
- You can always check expanding by factorising
- 6(x+y)
- Patterns
- Co-ordinates
- We use coordinates to describe the position of points
- The axes are at right angles to each other
- Both scales are like number lines, evenly spaced
- The horizontal axes is called the x
axis
- The vertical axis is called the y axis
- The vertical axis is called the y axis
- The y axis is always listed first
- The person goes down the corridor and up the stairs
- The person goes down the corridor and up the stairs
- Rise over run
- y=2x
- 2/1
- 2 up, 1 across
- 2 up, 1 across
- 2/1
- y=2x
- We use coordinates to describe the position of points
- Factorising
- Factorising is the reverse process of expanding.
- Instead of taking it out of brackets it is putting them back in them
- Instead of taking it out of brackets it is putting them back in them
- Look for the Highest common factor in all terms
- http://www.myimaths.com/tasks/library/loadLesson.asp?title=factorising/factoriseExpressions&taskID=1155
- 2x+2y=2(x+y)
- 3x+12=3(x+4)
- 6x-15=3(2x-5)
- cd-ce=c(d-e)
- x^2-xy=x(x-y)
- You can always check factorising by expanding
- Factorising is the reverse process of expanding.
- Solving Equations
- Equations give information about the values of unknown numbers
- We use x to represent the unknown number
- Use the opposite operation to solve an equation
- ➕ to ➖ and ➖ to ➕
- ➗ to ✖ and ✖ to ➗
- ➕ to ➖ and ➖ to ➕
- 4x=20
- x=20/4
- x=5
- x=5
- x=20/4
- x+3=10
- x=10-3
- x=7
- x=7
- x=10-3
- x/3=2
- x=3x2
- x=6
- x=6
- x=3x2
- x-8=3
- x=3+8
- x=11
- x=11
- x=3+8
- Combined Equations
- Collect all x terms on the left hand side.
- Collect all numbers on the right side.
- Collect all numbers on the right side.
- 6x-5=13
- 6x=13+5
- 6x=18
- x=18/6
- x=3
- x=3
- x=18/6
- 6x=18
- 6x=13+5
- 8x+12=20
- 8x=20-12
- 8x=8
- x=8/8
- x=1
- x=1
- x=8/8
- 8x=8
- 8x=20-12
- Collect all x terms on the left hand side.
- Equations give information about the values of unknown numbers
- Simplifying
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