Introduction To Polynomials: Practice 1

Practise focused skills from Introduction to Polynomials

MathematicsGrade 9Mixed10 questions20 min

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Focus question style

Section A: Core Practice · 5 questionsSection B: Application Practice · 5 questions

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Section A: Core Practice

Build the core ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

MediumQuestion

Factorise $x^{2}-16$ .

Topic: Algebraic Expressions · Skill: Identify variables, constants and terms in expressions

Question 2

MediumQuestion

Expand $(x+2)(x+4)$ .

Topic: Algebraic Expressions · Skill: Distinguish algebraic expressions from equations

Question 3

AdvancedQuestion

Use the identity $(a+b)^{2}=a^{2}+2ab+b^{2}$ to find $(x+2)^{2}$ .

Topic: Algebraic Expressions · Skill: Evaluate algebraic expressions for given values

Question 4

AdvancedQuestion

Which value of $x$ is not allowed in the rational expression $\frac{1}{x-5}$ ?

Topic: Polynomial Basics · Skill: Define a polynomial in one variable

Question 5

AdvancedQuestion

What is the value of $2x^{2}-3x+1$ when $x=4$ ?

Topic: Polynomial Basics · Skill: Distinguish polynomials from non-polynomials

What this assignment covers

Progressive Grade 9 Math practice for Algebraic Expressions to Polynomial Degree.

Skills and sections

Identify variables, constants and terms in expressions, Distinguish algebraic expressions from equations, Evaluate algebraic expressions for given values, Define a polynomial in one variable, Distinguish polynomials from non-polynomials

Section A: Core Practice: 5 questions
Section B: Application Practice: 5 questions