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3.4 Expressions and Equations

3.4 Expressions and Equations. Goal: To translate phrases to algebraic expressions (emphasizing grouping symbols) To solve problems by writing and solving equations. Technique. Underline key phrases and write what they mean underneath Then put it all together. Key Words:.

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3.4 Expressions and Equations

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  1. 3.4 Expressions and Equations Goal: • To translate phrases to algebraic expressions (emphasizing grouping symbols) • To solve problems by writing and solving equations

  2. Technique • Underline key phrases and write what they mean underneath • Then put it all together

  3. Key Words: • What words mean addition? • What words mean subtraction? • What words mean multiplication? • What words mean division?

  4. Review: Write an expression that means: 5 more than a number “n” n + 5

  5. Review: Write an expression that means: 9 less than a number “n”

  6. 5 times the sum of a number and 5 5(n + 5) • Words that means a grouping symbol: • “the sum of” • “the difference of” • “the quantity” • “the product of” • “the quotient of” 5 times the quotient of a number and 5

  7. Remember: with less than we write the expression backwards… NOT left to right. 5 times the quantity 3 less than a number. 5(n – 3)

  8. Remember: with less than we write the expression backwards… NOT left to right. 14 less than the product of 3 and a # (3n) - 14

  9. 4 times the quantity 3 greater than a number 4(n + 3)

  10. One-half the difference of a number and 1

  11. Two fewer than the product of 10 and a number

  12. The quarterback completed 8 more than half of the passes he attempted. Let p = the number of passes attempted. Write an expression for the number of passes completed. Completed = 8 more than half of “p”

  13. Word Problems • Read the problem a few times • Underline key phrases and translate the english into math • Write down what you know • Identify what you are trying to find • Translate into an equation • Solve • Check

  14. = c 2 21 Arthur is two years younger than Chan. Arthur is 21. How old is Chan? Let c = the age of Chan. 21 = c - 2 23 = c

  15. The number of salted peanuts in a nut mix is 13 times the number of cashews. There are 52 salted peanuts. How many cashews are there? = Let c = number of cashews 52 = 13 • c 4 = c

  16. Nora divided 315 cans equally among 26 cartons and had 3 cans left over. How many cans were in each carton? Let x = cans per carton (cans per carton)(# cartons) = total cans + 3 26x + 3 = 315

  17. The final exam had three times as many points as the first test, plus a bonus question worth 25 points. The final exam was worth 160 points (including the bonus). How many points was the first test worth? Let x = points on first test Final = 3 times first test plus bonus 160 = 3x + 25

  18. At Max's Restaurant the cost of a child's dinner is $3.00 less than the cost of an adult dinner. You bought four children's dinners and paid $18.00. Find the cost of an adult dinner. “x” Child dinner = x - 3 4 • Child dinner = $18 4(x – 3) = 18

  19. Assignment:Page 133# 2-16 , 22-25 all

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