Mastering Algebra: Expanding Brackets
Mastering Algebra: Expanding Brackets
Lesduur is: 40 minOnderdelen in deze les
Mastering Algebra: Expanding Brackets
What do you already know about expanding brackets in algebra?
Learning Objective
At the end of the lesson, you will be able to expand brackets in algebraic expressions, apply step-by-step techniques, and solve related practise questions.
What Does 'Expanding Brackets' Mean?
Expanding brackets means multiplying each term inside the bracket by the term outside. For example, 2(x + 3) means 2 times both x and 3.
Step-by-Step: Single Bracket Expansion
Example: Expand 3(y + 5). Step 1: Multiply 3 by y: 3 × y = 3y. Step 2: Multiply 3 by 5: 3 × 5 = 15. Expanded form: 3y + 15.
Let's Try Together
Expand the following: 4(a + 2) Work it out before moving on!
Check Your Answer
4 × a = 4a 4 × 2 = 8 So, 4(a + 2) = 4a + 8.
Practise: Expand These
1) 5b + 15 2) 2x + 14 3) 6m - 24 4) 7y + 56 5) 3p - 6
Answers
1) 5(b + 3) 2) 2(x + 7) 3) 6(m - 4) 4) 7(y + 8) 5) 3(p - 2)
Questions
Your Turn: 5 Practice Questions
Try these on your own: 1) 8(x + 5) 2) 2(k - 6) 3) 4(t + 11) 4) 9(q - 4) 5) 7(n + 2)
Write down 3 things you learned in this lesson.
Write down 2 things you want to know more about.
Ask 1 question about something you haven't quite understood yet.
