Week 20 B Revise - Solving Linear Equations

Week 20 B Revise - Solving Linear Equations

Learning Objectives - Solving Linear Equations

• Bronze: To solve one step Equations

• Silver: To solve basic two step equations

• Gold: To solve equations in context

Solving Linear Equations

To solve Linear Equations means to find the value of the letter.

To solve an equation we need to use the inverse operations.

These are: add <=> subtract and multiply <=> divide.

Watch the video on the next page to learn more:

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Multiple Choice

Solve:

x + 12 = 20

• x = 32

• x = -32

• x = 8

• x = -8

x + 12 = 20

• subtract 12 from both sides

• x + 12 - 12 = 20 -12

• x = 8

Multiple Choice

5. 6b = 30

• x = 36

• x = 24

• x = 180

• x = 5

6b = 30

• divide both sides by 6

•  $\frac{6b}{6}=\frac{30}{6}$  

• b = 5

Multiple Choice

What is the opposite operation of addition?

• subtraction

• multiplication

• division

• square root

What is the opposite operation of addition?

• To solve an equation we need to use the inverse operations.

• These are: add <=> subtract

Multiple Choice

What is the opposite operation of multiplication?

• addition

• subtraction

• division

• square root

What is the opposite operation of multiplication?

• To solve an equation we need to use the inverse operations.

  
  

• These are: multiply <=> divide.

Multiple Choice

Which equation has x = 5 as the solution?

• x + 15 = 10
• 2x = 5
• 2x = 10

Which equation has x = 5 as the solution?

• 2x = 10

•  $\frac{2x}{x}=\frac{10}{2}$  

• x = 5

Multiple Choice

What is the first step in solving for w in the equation 3w + 5 = 14?

• Add 5 to both sides of the equal sign

• Divide by 3 on both sides of the equal sign

• Subtract 5 from both sides of the equal sign

• Multiply by 3 on both sides of the equal sign

What is the first step in solving for w in the equation 3w + 5 = 14?

• we always add or subtract to get rid of the number before multiplying or dividing by the coefficient of x

Multiple Choice

4x + 1 = 21

• x=120

• x=5

• x=30

• x=-5

4x + 1 = 21

• 4x + 1 -1 = 21 -1

• 4x = 20

•  $\frac{4x}{4}=\frac{20}{4}$  

• x = 5

Solve:

2x + 5 = 12

• 2x + 5 -5 = 12 - 5

• 2x = 7

•  $\frac{2x}{2}\ =\ \frac{7}{2}$  

• x = 3.5

Solve:

3(x - 2) = 18

• Expand first

• 3x - 6 = 18

• 3x - 6 +6 = 18 +6

• 3x = 24

•  $\frac{3x}{3}\ =\ \frac{24}{3}$  

• x = 8

Dodgy Characters

Each symbol represents a different digit.

Find out which digit is represented by each character.

Exit Ticket

You must now demonstrate your understanding by completing the 'Microsoft Forms' set in this week's Teams Assignments. This must be completed for you to get your mark for this lesson.

Well done for completing this weeks asynchronous learning task :)