Gr 9 MATH: Ch 5.2  Expand and Simplify Algebraic Expressions
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Questions and Answers

What is the correct order of operations in an algebraic expression without brackets?

  • Division, multiplication, addition, subtraction
  • Multiplication, division, subtraction, addition
  • Multiplication, division, addition, subtraction (correct)
  • Addition, subtraction, multiplication, division

What is the term for an algebraic expression with three terms?

  • Trinomial (correct)
  • Binomial
  • Polynomial
  • Monomial

What is the term for the number multiplying the variable in an algebraic expression?

  • Constant
  • Variable
  • Coefficient (correct)
  • Exponent

Why are brackets used in algebraic expressions?

<p>To specify the order of operations (C)</p> Signup and view all the answers

What is the first step in simplifying an algebraic expression?

<p>Combine like terms (A)</p> Signup and view all the answers

What is an algebraic expression that has the same numerical value as another expression for any given value of the variable?

<p>Equivalent expression (B)</p> Signup and view all the answers

According to convention, how should a known number be written in a product?

<p>Before the variable (A)</p> Signup and view all the answers

What is the result of applying the distributive property to the expression a(b + c)?

<p>ab + ac (A)</p> Signup and view all the answers

What is the result of multiplying a polynomial by a monomial?

<p>Each term in the polynomial is multiplied by the monomial (C)</p> Signup and view all the answers

What is the result of evaluating the expression (5x)^2?

<p>25x^2 (D)</p> Signup and view all the answers

What is the result of finding the square root of 16x^2?

<p>4x (B)</p> Signup and view all the answers

What is the result of dividing a polynomial by a monomial?

<p>Each term in the polynomial is divided by the monomial (B)</p> Signup and view all the answers

What is the result of applying the distributive property of division to the expression (x + y)/z?

<p>(x/z) + (y/z) (B)</p> Signup and view all the answers

What is the result of multiplying a polynomial by a monomial, if the monomial is 2x and the polynomial is x + 3?

<p>2x^2 + 6x (D)</p> Signup and view all the answers

What is the correct interpretation of the algebraic expression 2x + 5?

<p>Multiply 2 by x, then add 5 (C)</p> Signup and view all the answers

Which of the following expressions is equivalent to 3x^2 + 2x + 1?

<p>x^2(3 + 2x) + 1 (D)</p> Signup and view all the answers

What is the result of combining like terms in the expression 2x^2 + 3x - 4x^2 + x - 2?

<p>-2x^2 + 4x - 2 (B)</p> Signup and view all the answers

What is the correct sequence of operations in the expression 2x + 3(4 - 2x)?

<p>Evaluate the expression inside the brackets, then multiply by 3, and finally add 2x (B)</p> Signup and view all the answers

Which of the following expressions is a monomial?

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

What is the correct interpretation of the algebraic expression x^2 + 3x - 4?

<p>Square x, then add 3, and finally subtract 4 (A)</p> Signup and view all the answers

What is the result of simplifying the expression 2x + 3x + 4x - 2x?

<p>5x (B)</p> Signup and view all the answers

What is the result of applying the distributive property to the expression 2(x - 3) + 5?

<p>2x - 6 + 5 (C)</p> Signup and view all the answers

What is the result of multiplying the polynomial x^2 + 2x + 1 by the monomial 3x?

<p>3x^3 + 6x^2 + 3x (D)</p> Signup and view all the answers

What is the result of evaluating the expression (2x^2)^3?

<p>8x^6 (C)</p> Signup and view all the answers

What is the result of finding the cube root of 27x^3?

<p>3x (B)</p> Signup and view all the answers

What is the result of dividing the polynomial x^2 + 3x + 2 by the monomial x + 1?

<p>x + 1 (D)</p> Signup and view all the answers

What is the result of applying the distributive property to the expression (x + 2)/3?

<p>x/3 + 2/3 (D)</p> Signup and view all the answers

What is the result of multiplying the polynomial 2x^2 + 3x - 1 by the monomial -2x?

<p>-4x^3 - 6x^2 + 2x (C)</p> Signup and view all the answers

What is the result of evaluating the expression (3x^2)^2?

<p>9x^4 (D)</p> Signup and view all the answers

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