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HPCET Algebra — practice questions — page 3

Explore 100 free Algebra questions in HPCET Mathematics. 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 100.

Which operation needs matching orders?Read the answer and worked solution →Spot the odd one outRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Assertion and reason: structureRead the answer and worked solution →Order the steps: test whether A is symmetricRead the answer and worked solution →True or false: orders and shapesRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →Positive or negative angleRead the answer and worked solution →Which ratios are positiveRead the answer and worked solution →Type the trig functionRead the answer and worked solution →Pop what is defined everywhereRead the answer and worked solution →

Worked practice questions

Which operation needs matching orders?

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Items
  1. Item
    A + B
    Category
    Needs identical orders
  2. Item
    A − B
    Category
    Needs identical orders
  3. Item
    Checking A = B
    Category
    Needs identical orders
  4. Item
    AB
    Category
    Needs inner dimensions to agree
  5. Item
    BC
    Category
    Needs inner dimensions to agree
Categories
  1. Item
    Needs identical orders
  2. Item
    Needs inner dimensions to agree
Addition demands identical orders multiplication only needs the inner dimensions to agree. Source: syllabus Maths Part I, Ch 3 Matrices.

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Spot the odd one out

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Questions
  1. Items
    1. Row matrix
    2. Determinant
    3. Column matrix
    Odd item
    Determinant
  2. Items
    1. Diagonal
    2. Scalar
    3. Rectangular
    4. Identity
    Odd item
    Rectangular
  3. Items
    1. AB = BA
    2. A + B = B + A
    3. k(A + B) = kA + kB
    Odd item
    AB = BA
Each group is one summary bullet. Source: syllabus Maths Part I, Ch 3 Matrices.

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Reading the definitions back

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Questions
  1. Question
    A matrix with one row is a
    Choices
    1. row matrix
    2. column matrix
    3. square matrix
    Correct choice
    row matrix
  2. Question
    A square matrix satisfies
    Choices
    1. m > n
    2. m = n
    3. m = 1
    Correct choice
    m = n
  3. Question
    A symmetric matrix satisfies
    Choices
    1. A′ = −A
    2. A′ = I
    3. A′ = A
    Correct choice
    A′ = A
  4. Question
    The transpose of an m × n matrix has order
    Choices
    1. n × m
    2. m × n
    3. n × n
    Correct choice
    n × m
Straight recall of the taxonomy. Source: syllabus Maths Part I, Ch 3 Matrices.

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