# Introduction to Pre-Algebra - PowerPoint PPT Presentation

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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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Introduction to Pre-Algebra

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## Introduction to Pre-Algebra

1st 9 Weeks

• 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

• 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 ÷ 34.

2.

5. 4t + 5t

3. 5t + 66.

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

• 18both expressions have a

• -80value 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?