Download Day 2 Unit 2 Multistep Equations Published

Algebra I
Unit 2 Lessson 2
Do Now
 Are my answers correct?
 If not what mistake do you think I made and why?
Objective
 SWBAT
set up and solve multi-step
equations including problem situations
 SWBAT
set up and solve equations with
variables on both sides of the equation
What Do These 3 Picture
Have in Common?
Distributive Property

The Distributive Property says that multiplying a
number by a group of numbers added together is
the same as doing each multiplication separately
Example: 3(2 + 4) = 3×2 + 3×4
So the "3" can be "distributed" across the "2+4" into
3 times 2 and 3 times 4.
INM-Distributive Property

4(3x + 8)

2 + 5 (6x + 3y)

7x + 2(5x +3)
Plus/Minus Vs. Positive/Negative

PLUS and MINUSES are used in sentences or when reading equations and
expressions. POSITIVES and NEGATIVES are like defining the individual
words that make up the sentence.

FOR EXAMPLE:
3 – 4 (2x – 7)

In this example the sentence reads 3 minus 4 times 2x minus 7.

When distributing we look at individual words.

We must look at the preceding sign not as adding or subtraction but as
positive or negative until they are placed back in a sentence.

To distribute we must multiply negative 4 times positive 2x, then negative
4 times negative 7. When placed back in a sentence it yields:

3 minus 8x plus 14 OR 3 - 8x + 14
Solving Equations using the
Distributive Property
Special Case: Solve!
4x – (3x +2)
Independent Practice
Distributive Property
Diffusion Equilibrium

In science we often talk about the term Diffusion
Equilibrium

Diffusion Equilibrium is the state in which
the concentrations of the diffusing substance in the two
compartments are the same or become equal.

Solving multi-step equations are very similar to the
process of diffusion equilibrium.
Are there really two (or more)
sides to a story?
 How
many ways do you think we
can solve for x?
 Justify your answer.
6x + 4 = 14x – 28
The Logistics of Algebra
Variables
Constants
10x + 15 = 5 x + 25
Guided Practice
Multi-Step Equations
6n + 17 = 5 + 4n
6n + 17 = 5 + 4n
6n + 17 = 5 + 4n
5(x – 6) = 2x – 18 + 2x
5(x – 6) = 2x – 18 + 2x
5(x – 6) = 2x – 18 + 2x
3(w + 7) – 5w = w + 12 3(w + 7) – 5w = w + 12 3(w + 7) – 5w = w + 12
-3(2 –3x) = –6x – 2(x –3)
-3(2 –3x) = –6x – 2(x –3)
-3(2 –3x) = –6x – 2(x –3)
Independent Practice
Multi-Step Equations