# Solving equations

Good morning!
Schedule:
• Learning goals
• Solving equations
• Equations with a repeated variable
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Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 20 slides, with text slides.

## Items in this lesson

Good morning!
Schedule:
• Learning goals
• Solving equations
• Equations with a repeated variable

#### Slide 1 -Slide

Learning goals
At the end of this lesson I can:
• Solve 2-step equations

#### Slide 2 -Slide

Why not trial and error?

#### Slide 3 -Slide

Starter
Solve the following equations for x:

a.  3(x - 4) = 39
b.

2x2=5

#### Slide 4 -Slide

Starter
Solve the following equations for x:

a. x = 17
b. x = 12

#### Slide 5 -Slide

What to do
Open this LessonUp on your device.
Work on the slides with the appropriate color:

- Got all the questions right                       I really want a challenge!
- Got 1-2 questions right                             I think a bit more practice will help me!
- Got 0-1 question correct                          I think more practice will help me! I                                                                                         would like some more help.

#### Slide 6 -Slide

Solving equations by backtracking
Step 1: Identify the operations in order

Step 2: Identify the inverse operations

Step 3: Apply inverse operations in REVERSE order
Example

2x2=5

#### Slide 7 -Slide

Solving equations by backtracking
Step 1: Identify the operations in order

Step 2: Identify the inverse operations

Step 3: Apply inverse operations in REVERSE order
Example

Step 1:                                           Step 2:
-first 2 is subtracted from x
-then we divide by 2

Step 3:

2x2=5

#### Slide 8 -Slide

Solving equations by backtracking
Step 1: Identify the operations in order

Step 2: Identify the inverse operations

Step 3: Apply inverse operations in REVERSE order
Example

Step 1:                                                        Step 2:
-first 2 is subtracted from x             -2           +2
-then we divide by 2                            /2            ⋅2

Step 3:

2x2=5

#### Slide 9 -Slide

Solving equations
3(x - 4) = 39

1. Expand or simplify any brackets.

#### Slide 10 -Slide

Solving equations
3(x - 4) = 39
(3⋅x) + (3⋅ -4) = 39

1. Expand or simplify any brackets.

#### Slide 11 -Slide

Solving equations (1)
3(x - 4) = 39
(3⋅x) + (3⋅ -4) = 39
3x + (-12) = 39
3x -12 = 39

Are all variables (x) on the same side?
2. Collect like terms

#### Slide 12 -Slide

Solving equations
3(x - 4) = 39
(3⋅x) + (3⋅ -4) = 39
3x + (-12) = 39
3x - 12 = 39
3x -12 + 12 = 39 + 12
⋅ 3x = 51
3x/3 = 51/3
x = 17

3. Do Inverse operations on all terms on the side of x to
Isolate x

#### Slide 13 -Slide

Solving equations
3(x - 4) = 39
(3⋅x) + (3⋅ -4) = 39
3x + (-12) = 39
3x - 12 = 39
3x -12 + 12 = 39 + 12
3x = 51
3x/3 = 51/3
x = 17

#### Slide 14 -Slide

Solving equations by backtracking
3(x - 4) = 39

Step 1: Identify operations
Step 2: Identify inverse operations
Step 3: Apply inverse operations in reverse order

#### Slide 15 -Slide

Solving equations by backtracking
3(x - 4) = 39
3(x - 4) / 3 = 39 / 3
x - 4 = 13
x - 4 + 4 = 13 + 4
x = 17

Step 1: Identify operations
Step 2: Identify inverse operations
Step 3: Apply inverse operations in reverse order

#### Slide 16 -Slide

Let's get to work!
p. 210-211: 10F            1adgj, 2be, 3abc, 5def
p. 211-212: 10F             3abcd, 4ac, 5adgj, 6cf
p. 211-212: 10F             5adgj, 6cf, 7adgjmps, 8def

Finished? Try the next level or pick up circuit training worksheet

#### Slide 17 -Slide

Equations with variables on both sides

#### Slide 18 -Slide

Worksheet
Finish the worksheet.
Done? Pick up an answersheet from my desk and mark your work

Done? Pick up the circuit training worksheet from my desk