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Chapter Analysis
Intermediate10 pages • EnglishQuick Summary
This chapter introduces students to algebraic expressions, covering the addition, subtraction, and multiplication of these expressions. It explains concepts such as monomials, binomials, trinomials, and polynomials, along with the application of laws such as the distributive law in calculations. Students learn to multiply polynomials by one another and understand the formation of terms through products. Real-world applications, like calculating areas and volumes using algebraic expressions, are also discussed.
Key Topics
- •Addition and subtraction of algebraic expressions
- •Multiplication of algebraic expressions
- •Monomials, binomials, and polynomials
- •Distributive law and its applications
- •Real-world applications of algebraic expressions
Learning Objectives
- ✓Understand and perform addition and subtraction of algebraic expressions.
- ✓Learn to multiply monomials, binomials, and trinomials.
- ✓Apply the distributive law in simplifying expressions.
- ✓Analyze real-world problems involving algebraic expressions for areas and volumes.
- ✓Differentiate between polynomials based on the number of terms.
Questions in Chapter
Add: ab – bc, bc – ca, ca – ab
Page 94
Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3
Page 95
Carry out the multiplication of these pairs: 4p, q + r
Page 100
Multiply the binomials: (2x + 5) and (4x – 3)
Page 102
Additional Practice Questions
How do you simplify the expression 3x(4x − 5) + 3?
mediumAnswer: 3x(4x − 5) + 3 simplifies to 12x² − 15x + 3.
What is the result when 2p(3p + 4) is expanded?
easyAnswer: The result is 6p² + 8p.
Solve for y in the equation 3y(y – 4) + 12 = 0.
hardAnswer: For y = 4, the equation holds true.
Explain how to multiply the expressions (x + 1)(x − 1).
mediumAnswer: Using the distributive property, (x + 1)(x − 1) = x² − x + x − 1 = x² − 1.
What is the simplified form of 5x(x + y) + 3(x + y)?
mediumAnswer: The simplified form is (5x + 3)(x + y).