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IIFT Algebra — practice questions — page 3

Explore 101 free Algebra questions in IIFT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra questions and exercises with answers

Showing questions 61–90 of 101.

Because of that, the midpoint of the join of two points is found by:Read the answer and worked solution →The area of the triangle with vertices (1, minus 1), (minus 4, 6) and (minus 3, minus 5) is:Read the answer and worked solution →The area of the triangle with vertices (5, 2), (4, 7) and (7, minus 4) is:Read the answer and worked solution →When the area formula gives a negative value for a triangle, you should:Read the answer and worked solution →If three points give an area of zero, what does that show?Read the answer and worked solution →The points (1, 5), (2, 3) and (minus 2, minus 11) are examined to check whether they are:Read the answer and worked solution →Catch the coordinate toolsRead the answer and worked solution →Pop the correct distancesRead the answer and worked solution →Run the coordinate gatesRead the answer and worked solution →Slice the coordinate wordsRead the answer and worked solution →Distance or areaRead the answer and worked solution →Sort the point factsRead the answer and worked solution →Type the numberRead the answer and worked solution →Coordinate bingoRead the answer and worked solution →An equation p(x) = 0 where p is a polynomial of degree 2 is called a:Read the answer and worked solution →The scholar credited with deriving the quadratic formula around 1025 CE was:Read the answer and worked solution →The expression b squared minus 4ac is called the equation's:Read the answer and worked solution →If that expression is greater than zero, the equation has:Read the answer and worked solution →If that expression equals zero, the equation has:Read the answer and worked solution →If that expression is less than zero, the equation has:Read the answer and worked solution →For the equation 2x squared minus 5x plus 3 equals 0, the discriminant is:Read the answer and worked solution →Because that discriminant is positive, the equation 2x squared minus 5x plus 3 equals 0 has:Read the answer and worked solution →The roots of 2x squared minus 5x plus 3 equals 0 are:Read the answer and worked solution →For the equation 6x squared minus x minus 2 equals 0, the discriminant is:Read the answer and worked solution →The roots of 6x squared minus x minus 2 equals 0 are:Read the answer and worked solution →For the equation x squared plus 4x minus 5 equals 0, the discriminant is:Read the answer and worked solution →The roots of x squared plus 4x minus 5 equals 0 are:Read the answer and worked solution →A method that rewrites the equation so one side becomes a perfect square is called:Read the answer and worked solution →The values of x that satisfy a quadratic equation are called its:Read the answer and worked solution →The roots of a quadratic equation are the same as the zeroes of the corresponding:Read the answer and worked solution →

Worked practice questions

Because of that, the midpoint of the join of two points is found by:

  1. Multiplying the coordinates
  2. Squaring the coordinates
  3. Averaging the coordinates
  4. Adding the coordinates
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Correct answer: C. Averaging the coordinates

1. The ratio 1 to 1 goes into the section formula. 2. The denominators become 2. 3. You average each coordinate. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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The area of the triangle with vertices (1, minus 1), (minus 4, 6) and (minus 3, minus 5) is:

  1. 18 square units
  2. 28 square units
  3. 12 square units
  4. 24 square units
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Correct answer: D. 24 square units

1. Apply the area formula to the three vertices. 2. The bracket works out to 48. 3. Half of that is 24 square units. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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The area of the triangle with vertices (5, 2), (4, 7) and (7, minus 4) is:

  1. 2 square units
  2. 4 square units
  3. 6 square units
  4. 8 square units
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Correct answer: A. 2 square units

1. The formula gives minus 2 before the sign is dropped. 2. Area cannot be negative. 3. The area is 2 square units. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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More Quantitative Aptitude topics

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