Algebra

• What does simplifying expressions mean?

  Simplifying expressions means making them as concise as possible by combining like terms and performing basic operations.
• What are like terms?

  Like terms are terms with the same variables raised to the same powers.
• Can you add or subtract unlike terms?

  No, you can only add or subtract like terms.
• What is the goal of simplifying an expression?

  The goal is to express the equation in its most compact form.
• What are the steps to simplify an expression?

  1. Identify like terms 2. Combine like terms by adding or subtracting their coefficients 3. Keep unlike terms separate 4. Write the simplified expression
• What are terms in an expression?

  Terms are parts of an expression separated by + or - signs.
• What is a coefficient?


  A coefficient is the number in front of a variable.
• What is a constant in an expression?

  A constant is a number without variables.
• What does expanding brackets mean?

  Expanding brackets means multiplying each term inside the bracket by the term outside it.
• What is the distributive property?

  The distributive property states that a(b + c) = ab + ac.
• What are the key points of expanding brackets?

  - Multiply the term outside the bracket by each term inside - The result is a sum (or difference) of terms without brackets - This often leads to more terms, which you might then simplify
• What happens when you expand brackets with subtraction?

  You multiply the outside term by each term inside, keeping the signs intact.
• What are the differences between simplifying and expanding expressions?

  - Simplifying: Making expressions shorter by combining like terms. - Expanding: Distributing multiplication over addition or subtraction to remove brackets.
• What is the process of expanding brackets using the distributive property?

  - Identify the term outside the bracket. - Multiply it by each term inside the bracket. - Write the resulting terms, keeping their original signs.
• What are the key steps to expand double brackets?

  1. Multiply each term in the first bracket by each term in the second bracket. 2. Use the FOIL method: First, Outer, Inner, Last. 3. Combine like terms if possible.
• What does the FOIL method stand for in expanding double brackets?

  First, Outer, Inner, Last.