Simplifying Expressions and Solving Equations - Algebraic Techniques

The video tutorial covers simplifying expressions using indices, solving linear equations, and factorizing quadratics. It begins with simplifying powers of Y, followed by simplifying expressions with brackets involving M. The tutorial then demonstrates solving linear equations step-by-step, including expanding brackets and isolating variables. Finally, it explains factorizing a quadratic expression into binomials and solving the resulting equation.

What is the result of simplifying Y^5 * Y^9 using the rules of indices?

• Y^14

• Y^45

• Y^9

• Y^5

How do you simplify (2M^3)^4?

• 8M^12

• 16M^12

• 2M^7

• M^12

What is the first step in solving the equation 5(X + 3) = 3X - 4?

• Divide by 5

• Subtract 3X from both sides

• Expand the brackets

• Add 4 to both sides

After expanding 5(X + 3), what is the expression?

• 5X + 15

• 5X + 3

• 5X - 15

• 3X - 4

Which pair of numbers can be used to factorize X^2 + 2X - 24?

• 8 and 3

• 12 and 2

• 6 and 4

• 5 and 5

What are the solutions to the equation (X + 6)(X - 4) = 0?

• X = 6, X = -4

• X = -4, X = -6

• X = -6, X = 4

• X = 4, X = 6

What is the factorized form of X^2 + 2X - 24?

• (X + 4)(X - 6)

• (X - 4)(X + 6)

• (X + 6)(X + 4)

• (X - 6)(X - 4)