Properties of Multiplication Quiz
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Questions and Answers

What does the associative property of multiplication state?

  • a × (b × c) = (a × b) × c (correct)
  • a × b = b × a
  • a × 1 = a
  • a × (b + c) = (a × b) + (a × c)
  • Which of the following is an example of the distributive property of multiplication?

  • 5 × 70 = 70 × 5
  • 2 × 1 = 2
  • 6 × 0 = 0
  • 5 × (7 + 16) = (5 × 7) + (5 × 16) (correct)
  • What is the sign of the quotient when both the dividend and divisor are negative?

  • Negative
  • Positive (correct)
  • Undefined
  • Zero
  • What is the product of any rational number and 1?

    <p>The rational number itself</p> Signup and view all the answers

    What is the result of dividing 0 by -10?

    <p>0</p> Signup and view all the answers

    According to the properties of multiplication, what is the value of 6 × 0?

    <p>0</p> Signup and view all the answers

    Which of the following expressions demonstrates the commutative property of multiplication?

    <p>4 × 3 = 3 × 4</p> Signup and view all the answers

    When dividing a positive number by a negative number, what will the quotient's sign be?

    <p>Negative</p> Signup and view all the answers

    If the absolute values of the dividend and divisor are 10 and 2 respectively, what is the quotient?

    <p>5</p> Signup and view all the answers

    Using the distributive property, what would be the result of 3 × (4 + 5)?

    <p>27</p> Signup and view all the answers

    What is the result of (0.67 × 0.8) × 0?

    <p>0</p> Signup and view all the answers

    What is the numerical coefficient of the term $2x - 3$?

    <p>2</p> Signup and view all the answers

    What is the reciprocal of -7?

    <p>-1/7</p> Signup and view all the answers

    Which property allows you to rewrite 4(2 + 3) as 4 × 2 + 4 × 3?

    <p>Distributive property</p> Signup and view all the answers

    Which operation is equivalent to dividing a rational number by another non-zero rational number?

    <p>Multiplying by the reciprocal of the divisor</p> Signup and view all the answers

    Which of the following represents an equation?

    <p>$2x + 10 = 5x + 60$</p> Signup and view all the answers

    What will be the result of dividing any non-zero number by 0?

    <p>Undefined</p> Signup and view all the answers

    What is the quotient of -10 and 2?

    <p>-5</p> Signup and view all the answers

    Which of the following expressions is an algebraic expression?

    <p>$3x$</p> Signup and view all the answers

    Identify the numerical coefficient of $-3x^2$.

    <p>-3</p> Signup and view all the answers

    Which term represents a like term with $4x$?

    <p>$2x$</p> Signup and view all the answers

    Which of the following examples correctly represents like terms?

    <p>-80a^2b^2 and -10a^2b^2</p> Signup and view all the answers

    Which of the following expressions is not an equation?

    <p>$2x + 10$</p> Signup and view all the answers

    What is the numerical coefficient in the expression -5xy?

    <p>-5</p> Signup and view all the answers

    What does the equation $2(\mathcal{R} + w)$ represent?

    <p>A linear equation in two variables</p> Signup and view all the answers

    Which term is considered an unlike term to the term 3x?

    <p>3x^2</p> Signup and view all the answers

    What defines a constant in an algebraic expression?

    <p>A term that does not change its value.</p> Signup and view all the answers

    Which of the following is an example of an algebraic expression?

    <p>5x - 4</p> Signup and view all the answers

    What differentiates terms in Group A from those in Group B?

    <p>Terms in Group A are like terms, whereas those in Group B are unlike terms.</p> Signup and view all the answers

    What is an example of a term?

    <p>3y^2</p> Signup and view all the answers

    Which expression represents an equation?

    <p>2x + 5 = 15</p> Signup and view all the answers

    What is the result of simplifying the expression 7x + 5x?

    <p>12x</p> Signup and view all the answers

    What is the result of simplifying the expression $3x + 2(7x + 5)$ using the distributive and associative properties?

    <p>$17x + 10$</p> Signup and view all the answers

    Which of the following correctly represents the division of two rational numbers?

    <p>a ÷ b = c if and only if c × b = a</p> Signup and view all the answers

    What is the quotient when dividing 12 by 4?

    <p>3</p> Signup and view all the answers

    In the expression $3x - 7(2x + 10)$, what property is primarily used when rewriting it as $3x + (-7)(2x + 10)$?

    <p>Distributive property</p> Signup and view all the answers

    What is the simplified form of the expression 6x + (-5 + 8)?

    <p>6x + 3</p> Signup and view all the answers

    What is the final simplified form of $3x - 7(2x + 10)$?

    <p>$-11x - 70$</p> Signup and view all the answers

    In the expression 4[3 + 2(x + 5)], what is the first step to simplifying it?

    <p>Distribute 4 across each term inside the brackets.</p> Signup and view all the answers

    Which property allows the computation of the expression $2(x + 2y) + 3y$ to be restructured to $2x + 4y + 3y$?

    <p>Distributive property</p> Signup and view all the answers

    What is the simplified result of the expression $2(x + 2y) + 3y$?

    <p>$2x + 7y$</p> Signup and view all the answers

    Which of the following represents the correct expansion of x(x + 3) + 2(x + 5)?

    <p>x^2 + 5x + 10</p> Signup and view all the answers

    In the operation of division, what term is referred to as the divisor?

    <p>The number used to divide</p> Signup and view all the answers

    Which statement about multiplying negative factors is true?

    <p>An even number of negative factors results in a positive product.</p> Signup and view all the answers

    What happens when a rational number is multiplied by -1?

    <p>It becomes its opposite.</p> Signup and view all the answers

    Which statement correctly defines the term 'quotient' in the division a ÷ b = c?

    <p>The total result of the division</p> Signup and view all the answers

    If a product of rational numbers has at least one factor that is zero, what is the product?

    <p>Zero</p> Signup and view all the answers

    Study Notes

    Mathematics Grade 7 Student Textbook

    • This textbook is for Grade 7 students in Ethiopia.
    • It was funded by the General Education Quality Improvement Project (GEQIP).
    • International Development Associations (IDA) and other development partners, including Finland, Italian Development Cooperation, the Netherlands and UK aid from the Department for International Development (DFID), contributed to the funding.
    • The book was developed by Al Ghurair Printing and Publishing House CO. (LLC) in collaboration with Kuraz International Publisher P.L.C.
    • The ISBN for the book is 978-99944-2-054-4.

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    Description

    Test your understanding of the properties of multiplication with this quiz. Questions cover the associative, commutative, and distributive properties, as well as operations involving rational numbers. Perfect for students in Algebra class.

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