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Introduction to Pre-Algebra

Introduction to Pre-Algebra . 1 st 9 Weeks. Warm up – Day 1. 21 - 2(3) 4 + 3 ∙ 9 2(9) + 3 6(1.4) + 12 7 (2.9) - 5. Standard 3. Use order of operations to evaluate and simplify algebraic expressions. Applying the substitution principle

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Introduction to Pre-Algebra

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  1. Introduction to Pre-Algebra 1st 9 Weeks

  2. Warm up – Day 1 • 21 - 2(3) • 4 + 3 ∙ 9 • 2(9) + 3 • 6(1.4) + 12 • 7 (2.9) - 5

  3. Standard 3 Use order of operations to evaluate and simplify algebraic expressions. • Applying the substitution principle • Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions.

  4. Vocabulary • Variable • Coefficient • Term (in an expression) • Constant • Inequality • Base (in numeration) • Exponent • Algebraic expression

  5. I. Evaluate each expression for the given value of the variable. • x – 5 for x = 12 • 2y + 1 for y = 4 • 6(n + 2) – 4 for n = 5, 6, and 7

  6. II. Evaluate each expression for the given values of the variables. • 4x + 3y for x = 2 and y = 1 • 9r – 2p for r = 3 and p = 5 • If t = 7, solve the following problems. • t + 3 • 18 – t • 21/t • 3t – 5 • + 1 • 2t - 4

  7. Let a = 4, b = -2, c = 5 and d = 10. Solve the problems. • 4a + 2c • 3bc – d • d – 2a

  8. Write about it • Compare these expressions 2x + 9 and 5(3+8). How are they different? • What does “7y” mean?

  9. Homework: Copy these in your notebook • In the following problems, t = 7. Solve the problems. 1. 9t ÷ 3 4. 2. 5. 4t + 5t 3. 5t + 6 6. II. In the following problems a = 4, b = -2, c = 5 and d=10. 7. 8. abd 9. 5c – ad 10.

  10. Warm up – Day 2 Evaluate each expression for the given values of the variables. • 9y – 13 for y = 4 • 6n + 2p for n = 2 and p = 3 • 3x – y for x = 1 and y = 2 • Find a pair of numbers that fits the description. Their product is 221 and their sum is 30.

  11. Check Homework…. • 9 (From p. 6)15. 4 gal • 7 16. 6 gal • 41 17. 2 gal • 7 18. 8 gal • 63 • 14 (From p. 7) 56. Yes, when x=2 • 18 both expressions have a • -80 value of 4. • 15 • 111 Score: Out of 10 points

  12. Writing algebraic expressions Also: are/is – means “equal”

  13. I. Write an algebraic expression for each word phrase. • The product of 8 and a number n • 9 less than a number w • 3 increased by the difference of p and 5 • 24 decreased by the product of 6 and q

  14. 2 more than y • 2 divided into y • 2 less than y • twice y • the quotient of y and 2 • y increased by 2 • 2 less y • the product of 2 and y

  15. II. Write an expression for the word problem. • Jared worked for h hours at the pay rate of $5 each hour. Write an expression to determine how much money Jared earned. • How much money will he earn if he works a total of 18 hours? • Ron bought two comic books on sale. Each comic book was discounted $1 off the regular price r. Write an expression to find what Ron paid before taxes. If each comic book was regularly $2.50, what was the total cost before taxes?

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