Transcript Example 1 - cloudfront.net

3-3 day 1
Solve Multi Step
Equations
Objective: Students will create and solve
equations in one variable.
Standards: A.REI.3 , A.CED.1 , A.REI.1
REMEMBER:
When solving equations always ask
yourself 2 questions first:
1. Can I DISTRIBUTE ?
2. Can I COMBINE LIKE TERMS ?
Example 1
Solve & Justify: 9x + x – 7 = 13
Combine Like
9x + x -7 = 13 Given
Terms.
10x – 7 = 13 Combine like terms
Get x by itself
+7 +7 APOE
by doing the
10x = 20 Simplify opposite
operation.
10
10 MPOE
x = 2 Simplify
To justify steps
must use
Solve. Justify your steps: PROPERTIES
Use
2-column
4y – 7 (y – 2) = 26
proof to do this
Example 2
4y – 7 (y – 2) = 26 Given
4y – 7y + 14 = 26 Distributive Property
-3y + 14 = 26 Combine Like Terms
-14 -14 APOE
-3y = 12 Simplify
-3 -3 MPOE
y = -4
Simplify
Homework
Section 3-3 day 1
HW: Pg. 150-151
SOLVE & PROVE: 3 – 13
3-3 day 2
Solve Multi Step
Equations
Objective: Students will create and solve
equations in one variable.
Standards: A.REI.3 , A.CED.1 , A.REI.1
Example 1
Solve & Justify:3/5(2x – 4) = 18
3/5(2x – 4) = 18
5/3 ∙ 3/5(2x – 4) = 18
2x – 4 = 30
+4 +4
2x = 34
2 2
x = 17
Multiply by
Given 5/3, the
∙ 5/3 MPOE RECIPROCAL
Simplify of 3/5.
APOE
Simplify
MPOE
Simplify
Example 2
You have a pipe broken in your house. The plumber charges
a fee of $20 for each hour he is there and also charges an
emergency fee of $5 for each hour on top of a one-time $15
charge to look at the problem. You spent $115 to get your
plumbing fixed, how many hours was the plumber working?
Remember: “ Per” means this
is where the x goes
STEP 1: Write the equation.
STEP 2: Combine like terms.
20x + 5x + 15 = 115
25x+15=115
-15 -15
25x
=100
25
25
Get x by itself by doing
the opposite operation.
x = 4 hours
Homework
Section 3-3 day 2
HW: Pg. 150-151
SOLVE & PROVE: 14 – 24
Follow Directions: 38, 39, 40
3-4
Solve Equations
with Variables on
Both Sides
REMEMBER:
When solving equations always ask
yourself 2 questions first:
1. Can I DISTRIBUTE ?
2. Can I COMBINE LIKE TERMS ?
To justify steps
must use
Solve. Justify your steps: PROPERTIES
Use
2-column
-3x + 6x = 5(x + 1) – 1
proof to do this
-3x + 6x = 5(x + 1) – 1 Given
Example 1
-3x + 6x = 5x + 5 – 1 Distributive Property
Simplify
3x = 5x + 4
-5x -5x
-2x = 4
-2 -2
x = -2
APOE
Simplify
MPOE
Simplify
Example 2
Identify the number of solutions of the equation:
5x – 6 = 5(x – 1)
5x – 6 = 5x - 5
+6
+6
5x = 5x + 1
-5x -5x
0= 1
Distribute
Add 6 to both sides.
Subtract 5x from both
sides.
0 = 1 is NOT TRUE, so the
equation has NO SOLUTIONS.
Example 3
Identify the number of solutions of the equation:
4(3x + 2) = 2(6x + 4)
12x + 8 = 12x + 8
Distribute
The equation is an identity and the
solution is ALL REAL NUMBERS.
Homework
Section 3-4
HW: Pg. 157-158
SOLVE & PROVE: 10 – 13, 22 - 25
FOLLOW DIRECTIONS: 29, 49, 50