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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

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.

- 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

Let a = 4, b = -2, c = 5 and d = 10. Solve the problems.

- 4a + 2c
- 3bc – d
- d – 2a

Write about it

- 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

9. 5c – ad

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?

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