Rules of Signs in Math Operations

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Questions and Answers

What is the result of a positive number plus a negative number?

  • Always positive
  • Can be either positive or negative (correct)
  • Always negative
  • Always zero

What is the sign of the product of a negative number and a positive number?

  • It can be either positive or negative
  • Always positive
  • Always negative (correct)
  • Depends on the numbers

What is the result of a negative number plus a negative number?

  • Always zero
  • Always positive
  • Can be either positive or negative
  • Always negative (correct)

What is the sign of the product of two positive numbers?

<p>Always positive (D)</p> Signup and view all the answers

What is the result of a positive number minus a positive number?

<p>Can be either positive or negative (A)</p> Signup and view all the answers

What is the first step in factorizing an expression using the greatest common factor (GCF) method?

<p>Identify the GCF of the terms in the expression (D)</p> Signup and view all the answers

What is the formula for the difference of squares?

<p>a^2 - b^2 = (a + b)(a - b) (C)</p> Signup and view all the answers

What is the purpose of finding two numbers whose product is c and whose sum is b when factorizing quadratic expressions?

<p>To rewrite the expression as the product of two binomials (C)</p> Signup and view all the answers

What is the formula for the sum of cubes?

<p>a^3 + b^3 = (a + b)(a^2 - ab + b^2) (D)</p> Signup and view all the answers

What is the general strategy for factorizing an expression?

<p>Factor out the GCF and then check for special products (B)</p> Signup and view all the answers

What is the purpose of factorizing an expression?

<p>To simplify the expression (D)</p> Signup and view all the answers

What is the correct factorization of the expression x^2 + 5x + 6?

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

What is the formula for the difference of cubes?

<p>a^3 - b^3 = (a - b)(a^2 - ab + b^2) (D)</p> Signup and view all the answers

Flashcards

Positive + Negative

The result can be positive or negative, depending on the magnitude of each number.

Negative x Positive

The product of a negative and a positive number is always negative.

Negative + Negative

The sum of two negative numbers is always negative.

Positive x Positive

The product of two positive numbers is always positive.

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Positive - Positive

The result can be either positive or negative, depending on magnitude.

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First step of GCF factorization?

Identify the greatest common factor (GCF) of all terms in the expression.

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Difference of squares formula

a^2 - b^2 = (a + b)(a - b)

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Product and sum in quadratic factorization?

To rewrite the quadratic expression as the product of two binomials.

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Sum of cubes formula

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

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General factorization strategy

First, factor out the GCF, then check for special product patterns.

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Purpose of factorization

To simplify an expression into a more manageable form.

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Factorization of x^2 + 5x + 6

(x + 2)(x + 3)

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Difference of cubes formula

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

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Study Notes

make some flashcards about negative plus positive, positive plus negative, positive times negative and negative times positive

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