Introduction to pre algebra
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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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Warm up day 1
Warm up – Day 1

  • 21 - 2(3)

  • 4 + 3 ∙ 9

  • 2(9) + 3

  • 6(1.4) + 12

  • 7 (2.9) - 5


Standard 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.


Vocabulary
Vocabulary

  • Variable

  • Coefficient

  • Term (in an expression)

  • Constant

  • Inequality

  • Base (in numeration)

  • Exponent

  • Algebraic expression


I evaluate each expression for the given value of the variable
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


Ii evaluate each expression for the given values of the variables
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



Write about it
Write about it variables.

  • Compare these expressions 2x + 9 and 5(3+8). How are they different?

  • What does “7y” mean?


Homework copy these in your notebook
Homework: Copy these in your notebook variables.

  • 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.


Warm up day 2
Warm up – Day 2 variables.

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.


Check homework
Check Homework…. variables.

  • 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


Writing algebraic expressions
Writing algebraic expressions variables.

Also: are/is – means “equal”


I write an algebraic expression for each word phrase
I. Write an algebraic expression for each word phrase. variables.

  • 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


  • 2 more than y variables.

  • 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


Ii write an expression for the word problem
II. Write an expression for the word problem. variables.

  • 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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