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Variables, Expressions, and Equations

This topic covers algebraic expressions with one and two variables. How does one form an algebraic expression/equation is also covered.

Topic: Expressions with One Variable

  • For a given algebraic expression: 16 + b, 16 is the constant term and b is the variable term. The value of the expression depends on the value of the variable term

  • The value for the expression can be calculated by substituting the value of the variable in the expression. For example, substituting the value of b = 16 in the above expression, we get the expression as 16 + 25, which is equal to 41

  • While evaluating the expression, we should follow the order of operations using the rule of PEMDAS, which is following the order of Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction from left to right

Topic: Expressions with Two Variables

  • For a given algebraic expression: 5x + 3y, 5 and 3 are the constant terms and 'x' and 'y' are the variable terms.

    The value of the expression depends on the values of the variable terms used

  • The value for the expression can be calculated by substituting the value of the variables in the expression.

    For example, substituting the value of x = 4 and y = 2 in the above expression, we get the expression as (5 x 4) + (3 x 2)

  • While evaluating the expression, we should follow the order of operations using the rule of PEMDAS, which is following the order of Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction from left to right

Topic: Solution of an Equation

  • A variable is a symbol usually a letter like x, y, z, etc. which used to represent a number. For e.g.: x + 2 = 3. In this equation x is a variable and represents number 1 since 1 + 2 = 3

  • To determine whether a given value of a variable is the solution of an equation: Substitute the given value of the variable in the given equation and then check if it satisfies the equation

Topic: Word problems

  • A variable is a symbol usually a letter like x, y, z, etc. which used to represent a number. For e.g.: x + 2 = 3. In this equation x is a variable and represents number 1 since 1 + 2 = 3

  • To determine if the two measurements are equal:
    a) Express the measurements in the same unit by writing an equation between them.
    b) Substitute the value of one measurement in the equation.
    c) Then check if it satisfies the equation

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