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Algebraic Expressions

Algebraic Expressions. Essentional Question. What is Algebraic Expressions and how do I solve them?. Vocabulary. Algebraic Expressions - an expression containing numbers, variables, and operations ( eg , 3x + y or 5a – 4). Algebraic expressions do not contain equality or inequality symbols.

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Algebraic Expressions

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  1. Algebraic Expressions

  2. Essentional Question • What is Algebraic Expressions and how do I solve them?

  3. Vocabulary • Algebraic Expressions-an expression containing numbers, variables, and operations (eg, 3x + y or 5a – 4). Algebraic expressions do not contain equality or inequality symbols. • Variables-a symbol for a number we don't know yet. • Expressions-a mathematical term or a sum or difference of mathematical terms that may use numbers, variables, or both. • Equation-a statement that two numbers or expressions are equal

  4. Variables Usually we use letters such as n, t, or x for variables. For example, we might say that s stands for the side-length of a square. We now treat s as if it were a number we could use. The perimeter of the square is given by 4 × s. The area of the square is given by s × s. When working with variables, it can be helpful to use a letter that will remind you of what the variable stands for: let n be the number of people in a movie theater; let t be the time it takes to travel somewhere; let d be the distance from my house to the park. 

  5. Expressions • 3 + 7 • 2 × y + 5 • 2 + 6 × (4 - 2) • z + 3 × (8 - z)

  6. Equations • Equations are useful for relating variables and numbers. Many word problems can easily be written down as equations with a little practice. Many simple rules exist for simplifying equations. • 17 = 2 + 15 • x = 7 • 7 = x • t + 3 = 8 • 3 × n +12 = 100

  7. Solving Expressions • To solve an expression for a given value for the variable, plug the value of the variable into the expression and simplify using the correct order of operations. • Question: If n = 125.17, what is the value of 256.39 - n?Answer: Simply plug in the number for n and solve the expression.256.39 - n = 256.39 - 125.17 = 131.22

  8. Your Turn to Try It!! • If n = 81, what is the value of n ÷ 9? • If n = 590, what is the value of n - 352? • If n = 91, what is the value of 186 + n?

  9. Summarizer • Tell a partner : How you solve an Algebraic Expression?

  10. Homework • Algebraic Expression Worksheet

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