Transcript Simplify Notes

Distribute (remove parentheses)
Simplify
Combine Like Terms
Vocabulary:
Like terms: same variables, but can have different coefficients OR no
variable at all
Unlike terms: different variables
Match the like terms:
3x
6y2
-4y2
7xy
-13xxx
5x
10s
13
-8
-7c
6yx
s
1. 3x2 + 9x2
c
10x3
2. 8x + x
On Your Own:
Examples:
3. a + a
1. x + 4x
4. 10w – 7w
2. 8z + 4z2 + 5z – 3z2
3. 4x – 6y + 2x + y
5. -3j – j
4. 4mn2 + 3m2n
6. -3pq + 5pq
5. -4 + 3a – 2b + 5b – 6 – 7a
7. 5x + 6 + 2x
8. -5x + 7 + 2x + 1
You also need
to
address/use
algebra tiles
to simplify
today.
9. 3a + 7b + 2 – a – 4b
10. 2a2 – 7a + 4a + 5a2
11. 3gh – 7k + 14gh
Introduction to Simplify (for notes/discussion)
Distribute (remove parentheses)
Simplify
Discuss what distributing means in the real world.
Combine Like Terms
Watch the
signs!
They have to draw the lines
to show what they are
doing.
Distributive Property
a(b+c) = a(b) + a(c)
a(b – c) = a(b) – a(c)
Examples
On Your Own:
1. 7(x + 2)
1. – (x + 2)
2. 14(a – 3)
2. 3(5x2 + 2)
3. 4(5k2 + 2)
3. 
4. 6(8 + y)
4. -5(-2x – 3)
5. - ¼ (4 – 8b)
5. -(11x – 3)
6. -7(x + 4y – 3)
7. - (2k + 10)
8. - (3w – 5)
9. y (5x + 4)
10. 5x + (4 – 2x)
Can address this as
taking the opposite of
everything or as
distributing a -1…explain
both methods.
Double variable – put
in alpha order.
Coefficient always
written first.
Do we need to
distribute a positive?
2
(6x – 18y)
3
6. -2(a + 7)
7. (-3x – 6)5
8. 3(x2 + 2x – 6)
9. -3(x – 4)
10. 4(a – b – c)
Distribute (remove parentheses)
Simplify
Combine Like Terms
Examples
1. 5(2x – 3)
2. 2x + 3(4x + 5)
3. 5 – (3x + 2)
B
E
W
A
R
E
!
4. 2(x + 1) – 3(2x + 5)
You are not
distributing a “3”…
it is a “-3”!
5. 11 – (3x – 6) + 2(4x + 5) – x
1
6. - (6h + 15)
3
Practice…”Simplify Algebraic Expressions” WS
- Can allow them to work with a partner as long as
they both show all work.
- Choose numbers (some are distribute or CLT only,
others are both) to make sure they get some
practice of each.
- Monitor, monitor, monitor…
- Can assign additional problems from WS for HW.