Using a Letter for a Number
7 + 8 + 3b if b = 4
7 + 8 + 12
4 + 3 + ( 8c + 2) = ? if c =3
4 + 3 + (8 x 3 + 2) =?
12 + (24 + 2) = ?
38
5r + 4r + 8y
9r + 8y
What we use instead of an x to show multiplication now
nothing!
How many kids does Mrs Lambkin have?
2
6 + 4 + (5j + 2) if j =3
6 + 4 + (15 + 2)
7 + 3h + 3 = ? if h = 9
7 + 27 + 3
37
3w + 12f + 10w + 2f
13w + 14f
When a letter is next to a number it means we do what?
Multiply
How many kids are in this class in total?
22
2p - 13 + p if p = 8
16 - 13 + 8
7(g + 2) - 3 = ? if g = 10
7 (10 + 2) -3 =?
7(12) = ?
84
14k + 3b - 2k + 4b
12k + 7b
In algebra, what do we use to show division?
A fraction bar
We can combine terms if they have the same:
Variable (letter)
5r - 13 + 4j if r = 3 and j = 4
15 - 13 + 16
8f + 3f + 5 = ? if f = 4
8(4) + 3(4) + 5 = ?
32 + 12 + 5 =?
49
8v + 4x + 33x - 2v + 4a
6v + 37x + 4a
When a number is right next to parentheses it means we do what?
Multiply
We can use a letter to represent a number, it is called a ____________
Variable
12h + y + (h - 1) if h = 3 and y = 9
36 + 9 + 2
10/e + 12e - e + y = ? if e = 2 and y = 3
10/2 + 12(2) -2 + 3
5 + 24 - 2 + 3
27 + 3
30
8h + 4f + 20h - 2f + 2h + 5p
30h + 2f + 5p
The steps in order of operations
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Combining Like Terms is also Called: ___________
Simplifying