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Efficient Algebraic Expression Writing Guide

Learn how to write algebraic expressions using variables and operations. Practice examples with addition, subtraction, multiplication, and division. Explore expressions with multiple operations and understand verbal expressions corresponding to mathematical phrases. Sharpen your math skills with this comprehensive guide.

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Efficient Algebraic Expression Writing Guide

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  1. Chapter 1 Section 1.1 Objective: to write algebraic expressions

  2. Vocabulary • Quantity: anything that can be measured or counted. • Variable: a symbol, usually a letter, that represents the value(s) of a variable quantity • Algebraic expression: a mathematical phrase that includes one or more variables • Numerical expression: a mathematical phrase involving numbers and operation symbols, but no variables

  3. Operation words

  4. Writing Expressions with Addition and Subtraction • Example 1: 32 more than a number n N+32 • Example 2: 58 less than a number n N-58

  5. Writing Expressions with Multiplication and Division • Example 3: 8 times a number n 8xn, 8●n, 8n • Example 4: the quotient of a number n and 5 n÷5,

  6. TRY THESE • 18 more than a number n Answer: n+18 • 6 times a number n Answer: 6n • The quotient of 18 and a number n Answer: 18÷n

  7. Writing Expressions with two operations • Example 5: 3 more than twice a number x 3+2x • Example 6: 9 less than the quotient of 6 and a number x 6/x-9 • Example 7: the product of 4 and the sum of a number x and 7 4(x+7)

  8. TRY THESE • 8 less than the product of a number x and 4 Answer: 4x-8 • Twice the sum of a number x and 8 Answer: 2(x+8) • The quotient of 5 and the sum of 12 and a number x Answer: 5/12+x

  9. Using Words for an Expression • Example 8: Expression-3x OR 3●x Words- three times a number x OR The product of 3 and a number x

  10. TRY THESE • X+8.1 Answer: the sum of a number x and 8.1 • 10x+9 Answer: the sum of ten times a number x and 9 • n/3 Answer: the quotient of a number n and 3 • 5x-1 Answer: five times a number x less 1

  11. Try These • Which of the following expressions represents 7 times a number decreased by 13? 7x - 13

  12. Try These • Which one of the following expressions represents 28 less than three times a number? 3x - 28

  13. Try These • Which of the following verbal expressions represents 2x + 9? 9 increased by twice a number

  14. Try These • Which of the following expressions represents the sum of 16 and five times a number? 16 + 5x

  15. Challenge • Which of the following verbal expressions represents x2+ 2x? the sum of a number squared and twice a number

  16. Challenge 2 Which of the following expressions represents four less than the cube of a number? x3 – 4

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