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Chapter 1: Variables in Algebra

Chapter 1: Variables in Algebra. VOCABULARY. Variable. A letter that represents a range of numbers Example: x. Expression. A mathematical phrase that includes operations, numbers, and/or variables. It does not contain an equal sign Example 2p + 7. Evaluate. Substitute and Solve

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Chapter 1: Variables in Algebra

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  1. Chapter 1: Variables in Algebra VOCABULARY

  2. Variable • A letter that represents a range of numbers • Example: x

  3. Expression • A mathematical phrase that includes operations, numbers, and/or variables. • It does not contain an equal sign • Example 2p + 7

  4. Evaluate • Substitute and Solve • Example: x= 2, • 5x • 5(2), • 10

  5. Power • Is an expression of the form ab • Example: 24

  6. Exponent • The power to which a number or expression is raised • Example: 24 Exponent

  7. Order of Operations • The rules for evaluating an expression involving more than one operation • PEMDAS

  8. Equation • A mathematical statement or sentence that says one mathematical expression or quantity is equal to the other • Example: 3x + 7 = 21

  9. Solution • A number that when substituted for the variable in an equation or inequality results in a true statement • The answer

  10. Inequality • A mathematical sentence that contains one of the following symbols: ≤, ≥, <, > • Example: 3x > 21

  11. Function • A rule that establishes a relationship between 2 quantities the input and output • There is exactly one input for each output

  12. Input • A value in the Domain of a function (x) • Example: (2,4), (5, 7), (1,3) • Domain: 2, 5, 1

  13. Output • A value in the Range of a function (y) • Example: (2,4), (5, 7), (1,3) • Range: 4,7,3

  14. Relation • A set of pairs of values. The 1st value in each pair is the input and the 2nd value is called the output • Example: (2,4), (5, 7), (1,3)

  15. Domain • The set of all possible values of the independent variable in a function • It is the x in the ordered pair • Example: (2,4), (5, 7), (1,3) • Domain: 2, 5, 1

  16. Range • The set of all dependent values • It is the y in the ordered pair • Example: (2,4), (5, 7), (1,3) • Range: 4,7,3

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