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Transcript
```Algebra with Whole Numbers
Algebraic Notation
Simplify
2´ x =
2x
Simplify
3´ y =
3y
Simplify
x ´4 =
4x
Simplify
y ´5=
5y
Simplify
x´y=
xy
Simplify
y´x=
xy
Simplify
6´ x ´ y =
6xy
Simplify
y ´7´ z =
7 yz
Simplify
z ´ x ´8 =
8xz
Simplify
9´ x ´ y =
9xy
Simplify
x
x ¸2 =
2
Simplify
y ¸3=
y
3
Simplify
4¸ x =
4
x
Simplify
5¸ y =
5
y
Simplify
x¸y=
x
y
Simplify
y¸x=
y
x
Simplify
x´y´z=
xyz
Simplify
x´y¸z=
xy
z
Simplify
x ¸ ( y ´ z) =
x
yz
Simplify
2 ´ (x +1) =
2( x +1)
Simplify
(x +1) ´ 3 =
3( x +1)
Simplify
2 ¸ (x +1) =
2
( x + 1)
Simplify
(x +1) ¸ 3 =
x +1
3
Simplify
(x +1) ¸ 3 =
x +1
3
Simplify
4 ´ ( y - z) =
4( y - z)
Simplify
( y - z) ´ 5 =
5( y - z)
Simplify
4 ¸ ( y - z) =
4
y-z
Simplify
( y - z) ¸ 5 =
y-z
5
If x = 6, y = 3 and z = 2
x + 3=9
If x = 6, y = 3 and z = 2
x -3=3
If x = 6, y = 3 and z = 2
3x = 18
If x = 6, y = 3 and z = 2
x
=2
3
If x = 6, y = 3 and z = 2
x+ y=
9
If x = 6, y = 3 and z = 2
x-y=
3
If x = 6, y = 3 and z = 2
xy =
18
If x = 6, y = 3 and z = 2
x
=
y
2
If x = 6, y = 3 and z = 2
2y + 3 = 9
If x = 6, y = 3 and z = 2
2( y + 3) =
12
If x = 6, y = 3 and z = 2
2y - 3 =
3
If x = 6, y = 3 and z = 2
2( y - 3) =
0
If x = 6, y = 3 and z = 2
xyz = 36
If x = 6, y = 3 and z = 2
xy
=9
z
If x = 6, y = 3 and z = 2
xz
=4
y
If x = 6, y = 3 and z = 2
x
=1
yz
If x = 6, y = 3 and z = 2
x( y + z) =
30
If x = 6, y = 3 and z = 2
xy + xz = 30
If x = 6, y = 3 and z = 2
x( y - z) =6
If x = 6, y = 3 and z = 2
xy - xz = 6
If x = 6, y = 3 and z = 2
( x + y) z = 18
If x = 6, y = 3 and z = 2
x + yz = 12
If x = 6, y = 3 and z = 2
x
=6
y-z
If x = 6, y = 3 and z = 2
x
- z =0
y
If x = 6, y = 3 and z = 2
y =9
2
If x = 6, y = 3 and z = 2
4y = 36
2
If x = 6, y = 3 and z = 2
4y =
12
If x = 6, y = 3 and z = 2
144
4
y
=
( )
2
Write the formula.
• Double a number n
then take away 6 to
give an answer a.
2n - 6 = a
Write the formula.
• Halve a number x
then add 4 to give
the number y.
x
+4= y
2
Write the formula.
• Multiply a number p
by 6 then subtract 4
to give the answer r.
6p -4 = r
Write the formula.
• Add 3 to a number
m then multiply this
all by 4 to give q.
4( m + 3) = q
Write the formula.
• First add 6 to a
number p then
divide by 3 to get
the final answer r.
p+6
r=
3
Write the formula.
• From 16 take away
2 times a number n
to give the answer c.
c =16 - 2n
Write the formula.
• From 21 take away
3 times a number z
to give the final
answer e.
e = 21- 3z
Write the formula.
• From 16 take away
a number n then
divide by 3 to get
the final answer p.
16 - n
p=
3
Write the formula.
• Multiply a number d
by a half then add 6
to give the number
e.
1
e= d +6
2
Write the formula.
• Subtract 6 from a
number n and then
divide by 2 to give
the number j.
n-6
j=
2
```
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