Linear Polynomials
Class 9 · Mathematics
3 ideas in Class 9 Mathematics, explained in plain words, with games and quizzes to practise.
Terms, Coefficients and Degree
Part of: Terms, Coefficients and Degree
An algebraic expression combines terms containing variables and constants. In a linear polynomial, the highest exponent of the variable is one.
Why it matters. These parts help translate a situation into algebra.
Try it in two minutes
- Separate terms at plus or minus signs.
- Find the number multiplying each variable.
- Check the greatest exponent.
Try at home. Describe a simple total using a variable and a constant.
Linear Patterns and Polynomials
Part of: Linear Patterns and Polynomials
A sequence with a fixed difference between consecutive values forms a linear pattern. Its nth value can often be written as a degree-one expression.
Why it matters. A rule predicts later values without listing every earlier one.
Try it in two minutes
- Compare consecutive terms.
- Find the repeated change.
- Build an expression using the stage number.
Try at home. Find a growing pattern and describe how many are added each step.
Evaluating Linear Relationships
Part of: Evaluating Linear Relationships
A linear expression can act as an input-output rule. Substituting a value gives the output; setting an expression equal to a target can find an input.
Why it matters. This links a symbolic rule to quantities that change together.
Try it in two minutes
- Identify the variable input.
- Substitute or solve for it.
- Check the result in the original rule.
Try at home. Create a cost rule and calculate the total for a chosen number of items.
What your child will practise
- Evaluating Linear Relationships: Desert Puzzle (Clue Puzzle)
- Evaluating Linear Relationships: Number Quest (Collect the Answer)
- Linear Patterns and Polynomials: Jungle Quick Fire (Quick Fire)
- Terms, Coefficients and Degree: Candy Quest (Flip and Match)
- Terms, Coefficients and Degree: Mission Control Quest (Match It Up)
- Quiz: Evaluating Linear Relationships (8 questions)
- Quiz: Linear Patterns and Polynomials (8 questions)
- Quiz: Terms, Coefficients and Degree (8 questions)