Chapter Essay
Principles of Algebra
1A
1-1 1-2 1-3 1-4 1-5 1-6
Expressions and Integers
Evaluating Algebraic Expressions Writing Algebraic Expressions Integers and Absolute Value Adding Integers Subtracting Integers Multiplying and Dividing Integers
1B
1-7 1-8 LAB 1-9
Solving Equations
Solving Equations by Adding or Subtracting Solving Equations by Multiplying or Dividing Model Two-Step Equations Solving Two-Step Equations
KEYWORD: MT8CA Ch1
Firefighters can use algebra to find out how fast a fire is spreading and to create a plan to stop it.
2
Chapter 1
Vocabulary
Choose the best term from the list to complete each sentence. 1. __?__is the __?__ of addition. 2. The expressions 3 4 and 4 3 are equal by the __?__. 3. The expressions 1 the __?__. (2 3) and (1 2) 3 are equal by
addition Associative Property Commutative Property division multiplication opposite operation subtraction
4. Multiplication and __?__ are opposite operations. 5. __?__ and __?__ are commutative.
Complete these exercises to review skills you will need for this chapter.
Whole Number Operations
Simplify each expression. 6. 8 116 43 7. 2431 187 8. 204 38 9. 6447 21
Compare and Order Whole Numbers
Order each sequence of numbers from least to greatest. 10. 1050; 11,500; 105; 150 11. 503; 53; 5300; 5030 12. 44,400; 40,040; 40,400; 44,040
Inverse Operations
Rewrite each expression using the inverse operation. 13. 72 18 90 14. 12 9 108 15. 100 34 66 16. 56 8 7
Order of Operations
Simplify each expression. 17. 2 21. 5 3 4 6 2 18. 50 22. 16 2 5 4 2 3 19. 6 3 3 23. (8 3)(8 3 3) 20. (5 24. 12 2)(5 3 2 2) 5
Evaluate Expressions
Determine whether the given expressions are equal. 25. (4 7) 2 and 4 (7 2) 29. 9 (4 2) and (9 4) 2 26. (2 4) 2 and 2 (4 2) 27. 2 (3 3) and (2 3) 31. (16 4) 4 and 16 (4 3 28. 5 (50 44) and 5 50 44 32. 5 (2 3) 4) and (5 2) 3
30. 2 3 2 4 and 2 (3 4)
Principles of Algebra
3
The information below “unpacks” the standards. The
1A
1-1 1-2 1-3 1-4 1-5 1-6
Expressions and Integers
Evaluating Algebraic Expressions Writing Algebraic Expressions Integers and Absolute Value Adding Integers Subtracting Integers Multiplying and Dividing Integers
1B
1-7 1-8 LAB 1-9
Solving Equations
Solving Equations by Adding or Subtracting Solving Equations by Multiplying or Dividing Model Two-Step Equations Solving Two-Step Equations
KEYWORD: MT8CA Ch1
Firefighters can use algebra to find out how fast a fire is spreading and to create a plan to stop it.
2
Chapter 1
Vocabulary
Choose the best term from the list to complete each sentence. 1. __?__is the __?__ of addition. 2. The expressions 3 4 and 4 3 are equal by the __?__. 3. The expressions 1 the __?__. (2 3) and (1 2) 3 are equal by
addition Associative Property Commutative Property division multiplication opposite operation subtraction
4. Multiplication and __?__ are opposite operations. 5. __?__ and __?__ are commutative.
Complete these exercises to review skills you will need for this chapter.
Whole Number Operations
Simplify each expression. 6. 8 116 43 7. 2431 187 8. 204 38 9. 6447 21
Compare and Order Whole Numbers
Order each sequence of numbers from least to greatest. 10. 1050; 11,500; 105; 150 11. 503; 53; 5300; 5030 12. 44,400; 40,040; 40,400; 44,040
Inverse Operations
Rewrite each expression using the inverse operation. 13. 72 18 90 14. 12 9 108 15. 100 34 66 16. 56 8 7
Order of Operations
Simplify each expression. 17. 2 21. 5 3 4 6 2 18. 50 22. 16 2 5 4 2 3 19. 6 3 3 23. (8 3)(8 3 3) 20. (5 24. 12 2)(5 3 2 2) 5
Evaluate Expressions
Determine whether the given expressions are equal. 25. (4 7) 2 and 4 (7 2) 29. 9 (4 2) and (9 4) 2 26. (2 4) 2 and 2 (4 2) 27. 2 (3 3) and (2 3) 31. (16 4) 4 and 16 (4 3 28. 5 (50 44) and 5 50 44 32. 5 (2 3) 4) and (5 2) 3
30. 2 3 2 4 and 2 (3 4)
Principles of Algebra
3
The information below “unpacks” the standards. The