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CSEE (Form 4) Algebraic Expressions — practice questions

Explore 7 free Algebraic Expressions questions in CSEE (Form 4) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebraic Expressions questions and exercises with answers

Showing questions 1–7 of 7.

Which description fits an irrational number?Read the answer and worked solution →A number written in decimal form runs on forever with no repeating pattern of digits. What is it?Read the answer and worked solution →An algebraic expression has exactly three terms. What is it called?Read the answer and worked solution →What do we call a root that cannot be simplified to a rational number?Read the answer and worked solution →What is the starting point in every factorisation problem?Read the answer and worked solution →Without a calculator, between which two consecutive whole numbers does the square root of 30 lie?Read the answer and worked solution →In a quadratic trinomial the constant term is positive. What must be true of the two factors of that constant?Read the answer and worked solution →

Worked practice questions

Which description fits an irrational number?

  1. Not a fraction of two integers
  2. Any fraction of two integers
  3. Any number with a decimal point
  4. Any number larger than zero
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Correct answer: A. Not a fraction of two integers

1. A rational number can be written as one integer over another integer. 2. Irrational numbers are numbers that cannot be written as a fraction with the numerator and denominator as integers. 3. Every integer is rational, since it can be written with a denominator of one. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 1: Algebraic expressions_

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A number written in decimal form runs on forever with no repeating pattern of digits. What is it?

  1. It is rational
  2. It is irrational
  3. It is an integer
  4. It is undefined
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Correct answer: B. It is irrational

1. To classify a number, first write it in decimal form. 2. If the decimal terminates then the number is rational. 3. If it goes on forever, look for a repeated pattern of digits, which would also make it rational. 4. With no terminating point and no repeated pattern, the number is irrational. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 1: Algebraic expressions_

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An algebraic expression has exactly three terms. What is it called?

  1. A binomial
  2. A monomial
  3. A trinomial
  4. A quadratic
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Correct answer: C. A trinomial

1. Parts of algebraic expressions are named after how many terms they hold. 2. A monomial has one term and a binomial has two terms. 3. A trinomial is an expression with three terms. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 1: Algebraic expressions_

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More Mathematics topics

AlgebraApplication of IntegralsBinomial TheoremCalculusClass11 Sets BasicsClass11 Sets OperationsClass12 Functions BasicsClass12 Relations Basics