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Unit 1: Simplifying Expressions
Day 5: Distribute and Combine Like Terms
Sponge
Find two numbers whose product is the top number and whose sum is the bottom
number.
1.
2.
2.
-24
- 32
5
-4
Which of the following is equivalent to -6(3x – 2)
A.
B.
C.
D.
3.
24 ÷ 4(4 – 10)
A.
B.
C.
D.
18x - 12
-18x - 12
18x + 12
-18x + 12
-36
36
1
-1
------------------------------------------------------------------------------------ASWBAT______Distribute and combine like terms___
At the end of this lesson, you will show what you have learned by:
 Doing sample CAHSEE / CST questions
Tool Kit: Concept
To simplify expressions such as 3x + x + 2(3x + 5)
Step 1: Distribute
Step 2: Identify and
combine like terms
CAHSEE and CST Problems
1. Which of the following inequalities is
equivalent to 3 + 4x < 6(x – 4)?
A.
B.
C.
D.
3. Which of the following inequalities is
equivalent to 2 - x < -3(x – 5)?
3 + 4x < 6x – 4
3 + 4x < 6x – 10
3 + 4x < 6x – 12
3 + 4x < 6x – 24
E.
F.
G.
H.
2. Which of the following inequalities is
equivalent to 5(2n + 4) < 16 – 2(4n – 1)?
I.
J.
K.
L.
2 - x < -3x – 5
2 - x < -3x + 5
2 - x < -3x + 15
2 - x < -3x – 15
4. Which of the following inequalities is
equivalent to 5n - 3(2n + 4) < 2(6n – 1)?
10n + 20 < 16 – 8n - 2
10n + 20 < 16 – 8n + 2
10n + 4 < 16 + 8n - 1
10n + 4 < 16 – 8n + 1
M.
N.
O.
P.
5n - 12 < 8n - 2
-n - 12 < 12n - 1
n - 12 < 12n - 2
-n - 12 < 12n - 2
Make your own multiple choice problem like the ones above.
Here’s my multiple choice problem:
1.
A.
B.
C.
D.
Review: The opposite of -3 is 3.
Complete the table.
Number
3
Opposite
Reciprocal
⅔
5
⅓
The reciprocal of -3 is -⅓.
-2
-⅛
0
-⅜
19