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Algebraic Expressions and Order of Operations

Learn to write algebraic expressions, simplify expressions, evaluate variables, and apply the order of operations. Practice translating verbal phrases into algebraic expressions and solving numerical expressions. Enhance your math skills with new vocabulary and homework assignments.

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Algebraic Expressions and Order of Operations

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  1. Ch 1.2 – Order of Operations and Evaluating Expressions

  2. Let’s Review! Write an algebraic expression for the following phrases. • 5 less than the product of 3 and a number t. • Twice the sum of a number b and 8.

  3. Try to translate the algebraic phrase into a verbal phrase. • 4 – (d / 6) • (x + 7) / 2

  4. New Vocabulary • Power: made of two parts, a base and an exponent. • Base: the number you are multiplying by itself in a power. • Exponent: how many time you multiply the base to itself.

  5. Vocabulary • Simplify: a numerical expression when you it with its single numerical value. • Evaluate: replacing each variable with a given number, then simplify the expression.

  6. What is the simplest form for the following expressions. • 53 • 0.45 • (⅜)4

  7. Which one is correct? Why? A) 2 + 3 x 5 = 5 x 5 = 25 B) 2 + 3 x 5 = 2 + 15 = 17

  8. Order of Operations • Perform operations inside grouping symbols. Grouping symbols: parenthesis, brackets, absolute values, fraction bars • Simplify powers. • Multiply and divide left to right. • Add and subtract left to right.

  9. Simplify • 17 – 36 / 4

  10. What is the value of the following expressions for x = 3 and y = 5. • x + y2 – xy • (y – x) + 4(xy)

  11. Evaluate the expressions for a = 2 and b = 6 • (a + b)2 • a2 + b2 • What can you say about #1 and #2?

  12. Homework • Order of Operations Worksheet • There are no algebraic expressions. • SHOW ALL YOU WORK!! (or no credit!) • Make sure you know how to write algebraic expressions from verbal phrases!!!!!

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