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Identities

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The following math revision questions are provided in support of the math tutorial on Identities. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Identities tutorials. The Identities calculators are particularly useful for ensuring your step - by - step calculations are correct as well as ensuring your final result is accurate.

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Equations Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
9.3Identities

Identities Revision Questions

1. . Which of the following mathematical sentences is an identity?

  1. 3x - 5 = 2x
  2. 4x - 1 = - 1 + 4x
  3. x - 3x + 1 = 2x + 1
  4. 3 = x - 3

Correct Answer: B

2. . Which of the following mathematical sentences is NOT an identity?

  1. 2 - 5x = 4x - 1 - 3(3x - 1)
  2. (3 - x)2 = 32 - x2
  3. (y - 1)3 = (y - 1)(y2 - 2y + 1)
  4. (1 - x)(1 + x) = - (x2 - 1)

Correct Answer: B

3. . What is the value of y so that the mathematical sentence

y - 9x2 = (5 - 3x)(5 + 3x)
  1. 3
  2. 5
  3. 9
  4. 25

Correct Answer: D

4. . What kind of mathematical sentence is the one shown below?

8 - x3 = (2 - x)(4 - 2x + x2)
  1. Identity
  2. Inconsistent equation
  3. Open mathematical sentence
  4. Conditional identity

Correct Answer: D

5. . Which of the following is an inconsistent equation?

  1. 3x - 1 = 6
  2. 5 - 2x + x2 = (x - 1)2
  3. (x - 2)(x + 2) = 2x2 - 4
  4. (x - 1)(x + 1) = x2 - 1

Correct Answer: B

6. . Which of the following is a conditional identity?

  1. (x - 4)2 = x2 - 42
  2. (x - 4)2 = x2 - 4x + 16
  3. (x - 4)2 = x2 - 4x + 4
  4. (x - 4)2 = (x - 4)(x - 4)

Correct Answer: A

7. . Which of the following is TRUE for the sentence

"All odd numbers ending with 3 are prime."

  1. It is not a mathematical sentence
  2. It is always true
  3. It is always false
  4. It can be true for some numbers and false for the others

Correct Answer: D

8. . The sentence "3x - 5 is always odd for any integer" is false as for x = 3 we have 3 · 3 - 5 = 9 - 5 = 4, which is an even number is an example of ...

  1. Mathematical proof of a theorem
  2. Disproof by counter - example
  3. Geometry statement
  4. Solving by proof

Correct Answer: B

9. . Which of the following is NOT a conditional identity?

  1. y2 = y + 2
  2. x - 3 = 2x - 6
  3. 2x = 2x - 4
  4. 5x - 1 = 7(x - 2) - 3x - 13

Correct Answer: C

10. . Which of the following statements is TRUE?

  1. The sum of two prime numbers is always composite
  2. The sum of two prime numbers greater than 2 is always composite
  3. The sum of two prime numbers gives another prime number
  4. The sum of two prime numbers is always divisible by 2

Correct Answer: B

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  2. Equations Math tutorial: Identities. Read the Identities math tutorial and build your math knowledge of Equations
  3. Equations Video tutorial: Identities. Watch or listen to the Identities video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Equations Revision Notes: Identities. Print the notes so you can revise the key points covered in the math tutorial for Identities
  5. Check your calculations for Equations questions with our excellent Equations calculators which contain full equations and calculations clearly displayed line by line. See the Equations Calculators by iCalculator™ below.
  6. Continuing learning equations - read our next math tutorial: Iterative Methods for Solving Equations

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