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  • https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/02%3A_Logic/2.01%3A_Formal_Logic
    This page defines statements and distinguishes them from non-statements, introduces logic operations and truth tables for combining statements, and explains equivalence of statements using DeMorgan's ...This page defines statements and distinguishes them from non-statements, introduces logic operations and truth tables for combining statements, and explains equivalence of statements using DeMorgan's Laws. It highlights conditions for compound statements to be false and includes practice checklists for truth tables and equivalence inquiries from previous exercises.
  • https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/11%3A_Algebraic_Expressions_and_Equations/11.02%3A_Combining_Like_Terms_Using_Addition_and_Subtraction
    From our examination of terms in [link], we know that like terms are terms in which the variable parts are identical. Like terms is an appropriate name since terms with identical variable parts and di...From our examination of terms in [link], we know that like terms are terms in which the variable parts are identical. Like terms is an appropriate name since terms with identical variable parts and different numerical coefficients represent different amounts of the same quantity. After observing the problems in these examples, we can suggest a method for simplifying an algebraic expression by combining like terms.
  • https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/11%3A_Algebraic_Expressions_and_Equations/11.09%3A_Proficiency_Exam
    ([link]) In the expression 9a, how many a's are indicated? ([link]) (5x)2+7(mx)+x2m, if x=5 and m=5. ([link] and [link]) Three consecutive even integers add to ...([link]) In the expression 9a, how many a's are indicated? ([link]) (5x)2+7(mx)+x2m, if x=5 and m=5. ([link] and [link]) Three consecutive even integers add to -36. ([link] and [link]) The perimeter of a rectangle is 38 feet. Find the length and width of the rectangle if the length is 5 feet less than three times the width. ([link] and [link]) Four numbers add to -2. The second number is three more than twice the negative of the first number.
  • https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/11%3A_Algebraic_Expressions_and_Equations/11.01%3A_Algebraic_Expressions
    In algebra, letters are used to represent numbers, and an algebraic expression results when an arithmetic operation sign associates a letter with a number or a letter with a letter. For example, \(x +...In algebra, letters are used to represent numbers, and an algebraic expression results when an arithmetic operation sign associates a letter with a number or a letter with a letter. For example, x+8, 4y, 3x, x÷7, and xy are algebraic expressions. Numerical evaluation is the process of determining the numerical value of an algebraic expression by replacing the variables in the expression with specified numbers.
  • https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/11%3A_Algebraic_Expressions_and_Equations/11.03%3A_Solving_Equations_of_the_Form_x__a__b_and_x_-_a__b
    The set of values that, when substituted for the variables, make the equation true, are called the solutions of the equation. For example, x5=1,x+7=11, and x=4 are all equivalent ...The set of values that, when substituted for the variables, make the equation true, are called the solutions of the equation. For example, x5=1,x+7=11, and x=4 are all equivalent equations since the only solution to each is x=4. (Can you verify this?) We know that the equal sign of an equation indicates that the number represented by the expression on the left side is the same as the number represented by the expression on the right side.

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