1. Activating Prior Knowledge – Notes
M4:LSN6
Solving Linear Equations
Activating Prior Knowledge – Notes
Solve the equation.
𝟏. 𝟓𝒙− 𝒙+𝟑 = 𝟏 𝟑 𝟗𝒙+𝟏𝟖 −𝟓
5𝑥−𝑥−3=3𝑥+6−5
4𝑥−3=3𝑥+1
−3𝑥 −3𝑥
𝑥−3=1
𝑥=4
Tie to LO

2. Today, we will solve linear equations.
Learning Objective
Today, we will solve linear equations.
CFU

3. Concept Development Review
M4:LSN4
Solving Linear Equations
Concept Development Review
To solve an equation means to find all of the numbers x, if they exist, so that the given equation is true.
x + 2 = 3
CFU

4. Concept Development – Notes #1
M4:LSN6
Solving Linear Equations
Concept Development – Notes #1
CFU

5. Use the distributive property to transform the expression.
M4:LSN5
Writing and Solving Linear Equations
Concept Development – Notes
Use the distributive property to transform the expression.
2(x + 2)
5(2x + 2)
𝟏 𝟐 (6x + 10)
-3(3x + 2)
CFU

6. CFU Solving Linear Equations 4x + 3(4x + 7) = 4(7x + 3) - 3
M4:LSN6
Solving Linear Equations
Skill Development/Guided Practice – Notes #2
4x + 3(4x + 7) = 4(7x + 3) - 3
4x + 12x + 21 = 28x
16x + 21 = 28x + 9
- 16x x
21 = 12x + 9
12 = 12x
÷ ÷12
1 = x
CFU

7. Concept Development Review
M4:LSN4
Solving Linear Equations
Concept Development Review
– Pair Share
What are we distributing in this problem?
-(3 + x)
4(3 + x)
CFU

8. CFU Solving Linear Equations 20 – (3x – 9) – 2 = - (-11x + 1)
M4:LSN6
Solving Linear Equations
Skill Development/Guided Practice – Notes #3
20 – (3x – 9) – 2 = - (-11x + 1)
20 – 1(3x – 9) – 2 = - 1(-11x + 1)
20 - 3x = 11x -1
-3x + 27 = 11x - 1
-3x + 28 = 11x
+ 3x x
28 = 14x
÷14 ÷14
2 = x
CFU

9. CFU Solving Linear Equations 2x + 1 = - (5x + 9) 2x + 1 = - 1(5x + 9)
M4:LSN6
Solving Linear Equations
Skill Development/Guided Practice – Notes #4
2x + 1 = - (5x + 9)
2x + 1 = - 1(5x + 9)
2x + 1 = -5x - 9
+ 5x x
7x + 1 = -9
7x = -10
÷7 ÷7
x = − 𝟏𝟎 𝟕
CFU

10. Does an equation always have a solution?
M4:LSN3
Linear Equations in x
Concept Development Review
– Pair Share
Does an equation always have a solution?
What does it mean if an equation doesn’t have a solution, like in x + 1 = x + 2?
CFU

11. What does this say about the equation 2(x +1) = 2x – 3?
M4:LSN6
Solving Linear Equations
Concept Development
2(x + 1) = 2x - 3
2x + 2 = 2x - 3
- 2x x
2 = -3
Does 2 = -3?
What does this say about the equation 2(x +1) = 2x – 3?
CFU

12. What does this say about the equation 9(4 – 2x) – 3 = - 18x?
M4:LSN6
Solving Linear Equations
Skill Development/Guided Practice – Notes #5
9(4 – 2x) – 3 = - 18x
36 – 18x - 3 = - 18x
+ 18x x
36 – 3 = 0
33 = 0
Does 33 = 0?
What does this say about the equation 9(4 – 2x) – 3 = - 18x?
CFU

13. 62 -10x = 6x - 6 CFU Solving Linear Equations
M4:LSN6
Solving Linear Equations
Skill Development/Guided Practice – Notes #6
17 – 5(2x – 9) = - (-6x + 10) + 4
17 – 5(2x – 9) = - 1(-6x + 10) + 4
x = 6x –
62 -10x = 6x - 6
+ 10x x
62 = 16x - 6
68 = 16x
÷16 ÷16
𝟔𝟖 𝟏𝟔 = x
𝟏𝟕 𝟒 = x
CFU

14. – Complete at the end of your notes
Closure
– Complete at the end of your notes
1. What did we learn today?
2. Why is this important to you?
3. How can you tell if a value of x is a solution to an equation?
Homework:
Problem Set page 19 problems 1 – 7 all
You MUST complete the homework on a separate sheet of paper to receive credit!
CFU