Introduction to Pre-Algebra

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# Introduction to Pre-Algebra - PowerPoint PPT Presentation

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

1st 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
• Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions.
Vocabulary
• Variable
• Coefficient
• Term (in an expression)
• Constant
• Inequality
• Base (in numeration)
• Exponent
• Algebraic expression
• x – 5 for x = 12
• 2y + 1 for y = 4
• 6(n + 2) – 4 for n = 5, 6, and 7
• 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
• Compare these expressions 2x + 9 and 5(3+8). How are they different?
• What does “7y” mean?
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

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.
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

Writing algebraic expressions

Also: are/is – means “equal”

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
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
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?