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Algebra Basics: What Is Algebra? - Math Antics

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Jenni baked some scones to take to her band practice. She didn't know how many she had taken so she called the number s.
Write an expression for how many scones there would be after each of these. Start with s scones each time.
a) The band members ate 6 scones.
s-6
b) Another band member brought scones aswell, they brought 10.
s+10
c) Half of the scones were eaten.
s/2 or s over 2

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Translating words into algebraic expressions

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How to write basic expressions with variables | 6th grade | Khan Academy

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Susan thought of a number, she called it n.
Write an expression for these.
a) The number minus 5
n-5
b) 9 times the number
n + 6
c) 4 times the number plus 8.
4n +8

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Iman ran around the block. She doesn't know how long it is so she calls the distance d.
Write an expression for how far she ran altogether.
a) Iman ran around the block 3 times.
Distance times three: 4d km
b) Iman ran around the block 2 times then ran another 3km
(2d + 3) km
c) Iman ran round the block 1 time then ran another 4km. She did this 3 times.
3(d+4) km

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Sometimes a number is replaced with a number to make an expression.

Example:
N is being used as our unknown number
An unknown number plus 4 is written as n + 4
5 times an unknown is written as 5n
an unknown number divided by 4 is n over 4

5 times n is written without the multiplication sign, as 5n. This is because the letter x is sometimes used to represent the unknown number.