Solving Equations Using Methods

The video tutorial covers equation skills, focusing on solving equations with grouping symbols. Two methods are demonstrated: expanding brackets and dividing terms. The tutorial emphasizes understanding when to use each method and concludes with instructions for further study.

What is the first step in solving equations with grouping symbols?

• Add all terms together

• Divide all terms by 2

• Remove grouping symbols

• Multiply all terms by 2

In Method 1, what operation is used to remove grouping symbols?

• Addition

• Subtraction

• Division

• Expansion

After expanding the brackets in Method 1, what is the next step?

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the result of dividing 27 by 4 in Method 1?

• 6.25

• 6.75

• 7

• 6.5

What is the inverse operation of multiplication in Method 1?

• Addition

• Subtraction

• Division

• Multiplication

In Method 1, what is the equation after expanding the brackets?

• 4b - 12 = 15

• 4b + 12 = 15

• 4b + 15 = 12

• 4b = 15

In Method 2, what is the first observation made about the terms?

• They are all even numbers

• They can all be multiplied by 2

• They can all be divided by 3

• They are all prime numbers

What is the purpose of dividing each term by 3 in Method 2?

• To add complexity to the equation

• To eliminate the terms

• To simplify the equation

• To increase the value of each term

In Method 2, what is the result of subtracting 5 from both sides?

• Positive 5

• Zero

• Negative 8

• Positive 8

What is the final value of M in Method 2?

• -2

• 4

• -4

• 2