Algebra Questions and Answers with Solution PDF

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Algebra Questions and Answers PDF

RRB JE, SSC CGL, SSC CHSL, RRB NTPC Exams are started after a few months. In those exams, almost  Questions are coming from Maths .so Maths Paper is important in all exams. Common questions and answers are placed in algebra questions pdf, which has been put together in most examinations, you can download this PDF Notes very simply by clicking on the Download Button at the bottom.

This post is dedicated to downloading our PDFEXAM for free PDFs, which are the latest exam pattern based algebra questions pdf for RRB JE 2019, SSC CGL 2019, SSC CHSL 2019, RRB NTPC, etc.

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Importance of Maths:

Every exam you will get almost questions from Math paper. So candidates must focus on Maths  and download these algebra questions  PDF to get important questions with the best solutions. We have put all Previous Year Questions of Maths that are Asked in various Govt & Private Exam.

Algebra

Algebra is the study of mathematical symbols and the rules for manipulating these symbols.

algebra questions and answers pdf

Important formula:-

Here is a list of Algebraic formulas –

  • a2 – b2 = (a – b)(a + b)
  • (a+b)2 = a2 + 2ab + b2
  • a2 + b2 = (a – b)2 + 2ab
  • (a – b)2 = a2 – 2ab + b2
  • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
  • (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • a3 – b3 = (a – b)(a2 + ab + b2)
  • a3 + b3 = (a + b)(a2 – ab + b2)
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
  • (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
  • a4 – b4 = (a – b)(a + b)(a2 + b2)
  • a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

Roots of Quadratic Equation

  • For a quadratic equation ax2 + bx + c where a ≠ 0, the roots will be given by the equation as −b±b2−4ac√2a
    Δ = b2 − 4ac is called the discrimination.
  • For real and distinct roots, Δ > 0
  • For real and coincident roots, Δ = 0
  • For non-real roots, Δ < 0
  • If α and β are the two roots of the equation ax2 + bx + c then, α + β = (-b / a) and α × β = (c / a).
  • If the roots of a quadratic equation are α and β, the equation will be (x − α)(x − β) = 0

750+ Algebra Important Questions and Answers PDF

Some Questions from Algebra-

Q1. If x3+y3=9 and x+y=3  then the value of  x4+y4  is,

  1. 81
  2. 32
  3. 27
  4. 17
Answer:

Q2 For any real number xx the maximum value of 46a−a2 is,

  1. 4
  2. 7
  3. 9
  4. 13
Answer: 4

Q3 If 5x+12x=13x  then value of xx is,

  1. 254254
  2. 4
  3. 6
  4. 9
Answer:

Q4 If x2+2=2x  then the value of x4x3+x2+2 will be,

  1. 0
  2. 1
  3. -1
  4. 2–√
Answer: 1

Algebra Questions with Complete Solutions PDF

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