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RRB NTPC Elementary Algebra — practice questions

Explore 67 free Elementary Algebra questions in RRB NTPC Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Elementary Algebra questions and exercises with answers

Showing questions 1–30 of 67.

A is twice as old as B. B is 3 years older than C. If C is 5, how old is A?Read the answer and worked solution →The plot of a linear equation is which curve?Read the answer and worked solution →Twice a child's age plus 4 equals 12. The child's age in years isRead the answer and worked solution →Find x if 5x - 7 = 18.Read the answer and worked solution →If 7x = 3x + 24, then x equalsRead the answer and worked solution →Solve 3(x - 2) = 12 for x.Read the answer and worked solution →Two numbers add up to 20 and differ by 4. The larger number isRead the answer and worked solution →A father is 22 years older than his son. In 10 years he will be twice the son's age. The son's age now isRead the answer and worked solution →An equation that holds for all values of its variables is calledRead the answer and worked solution →Multiplying both sides of an inequality by a negative number makes the signRead the answer and worked solution →Any non-zero number raised to the power zero equalsRead the answer and worked solution →In the term 9y, the number 9 is called theRead the answer and worked solution →In 4x^2 - 5x + 6, the constant term isRead the answer and worked solution →The degree of the polynomial 3x^4 - 2x + 1 isRead the answer and worked solution →Simplify 3x + 5x - 2x.Read the answer and worked solution →Expanding 3(x + 4) givesRead the answer and worked solution →The difference of squares a^2 - b^2 factorises asRead the answer and worked solution →Factorise x^2 + 5x + 6.Read the answer and worked solution →Taking out the highest common factor of 6x + 9 givesRead the answer and worked solution →The expression x^2 + 3x factorises asRead the answer and worked solution →Factorise 3x^2 - 12 completely.Read the answer and worked solution →Grouping ax + ay + bx + by gives the factorisationRead the answer and worked solution →If x = 2 is a root of P(x), then a factor of P(x) isRead the answer and worked solution →The highest power of the variable in a quadratic equation isRead the answer and worked solution →The sum of the roots of x^2 - 9x + 20 = 0 isRead the answer and worked solution →The solutions of x^2 = 49 areRead the answer and worked solution →The roots of x^2 - 5x + 6 = 0 areRead the answer and worked solution →For real numbers, if xy = 0 thenRead the answer and worked solution →If (x - 3)(x + 5) = 0, the values of x areRead the answer and worked solution →A collection of two or more linear equations in the same variables is calledRead the answer and worked solution →

Worked practice questions

A is twice as old as B. B is 3 years older than C. If C is 5, how old is A?

  1. 18
  2. 13
  3. 16
  4. 10
Show answer and solution

Correct answer: C. 16

C = 5. B = C + 3 = 8. A = 2B = 16.

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The plot of a linear equation is which curve?

  1. A parabolic curve
  2. A straight line
  3. A circular curve
  4. A hyperbolic curve
Show answer and solution

Correct answer: B. A straight line

A first-degree equation has constant slope, so its plot is a straight line.

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Twice a child's age plus 4 equals 12. The child's age in years is

  1. 4
  2. 6
  3. 2
  4. 8
Show answer and solution

Correct answer: A. 4

2x + 4 = 12 gives 2x = 8, so x = 4.

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