Chapter 7 : Solving Systems Linear Equations and Inequalities
Last updated January 21st, 2012 at 9:47 a.m.
Time Line 13 Days for section
Common Corestandards:
- A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
- A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
- A-CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
State Standards:
- 6.11.04 Apply the rules of order of operations to real-number expressions.
- 6.11.05 Simplify or test expressions by applying field properties (commutative, associative, distributive), order properties (transitive, reflexive, symmetric), and properties of equality for the set of real numbers.
- 8.11.01 Simplify or identify equivalent algebraic expressions (e.g., exponential, rational, logarithmic, factored, polynomial).
- 8.11.05 Model and describe slope as a constant rate of change
- 8.11.06 Evaluate variable expressions and functions.
- 8.11.07 Identify an equation of a line or an equation of a line of best fit from given information (e.g., from a set of ordered pairs, graphs, tables).
- 8.11.08 Recognize and describe the general shape and properties of functions from graphs, tables, or equations (e.g., linear, absolute value, quadratic, exponential, logarithmic).
- 8.11.09 Identify slope from an equation, table of values, or graph.
- 8.11.13 Represent quantitative relationships graphically, and interpret the meaning of the graph or a specific part of the graph as it relates to the situation represented by the graph.
- 8.11.14 Model problems using mathematical functions and relations (e.g., linear, non-linear).
- 8.11.16 Solve linear equations and inequalities, including selecting and evaluating formulas.
- 8.11.17 Solve systems of equations and inequalities.
- 8.11.22 Identify equivalent forms of equations, inequalities, and systems of equations.
Materials needed:
Textbook – Glencoe Algebra
Calculator TI -30
Paper and pencil
Graph paper
First day of Chapter 7:
Getting Started Pg 367 # 1 to 19
Vocabulary Pg 399 (8 words)
Day Two, Three, and Four:
Section 7-1: Graphing Systems of Equations
- Read and review pages 369 to 372.
- Work examples 1 to 3.
- Check your Understanding pg 371 # 1 to 14
Practice:
- Algebra 1 textbook pg 372 to 374 # 15 to 68
- Study Guide pg 403
- Intervention pg 404
- Skill Practice pg 405
- Practice Pg 406
Day Five and Six:
Section 7-2: Substitution
- Read and review pages 376 to 379.
- Work examples 1 to 4.
- Check your Understanding pg 379 # 1 to 10
Practice:
- Algebra 1 textbook pg 379 to 381 # 11 to 53
- Study Guide pg 409
- Intervention pg 410
- Skill Practice pg 411
- Practice Pg 412
Day Seven and Eight:
Section 7-3 Elimination Using Addition and Subtraction
- Read and review pages 382 to 385.
- Work examples 1 to 4.
- Check your Understanding pg 384 # 1 to 11
Practice:
- Algebra 1 textbook pg 385 to 386 # 12 to 54
- Study Guide pg 415
- Intervention pg 416
- Skill Practice pg 417
- Practice Pg 418
Day Eight and Nine:
Section 7-4: Elimination by Using Multiplication.
- Read and review pages 387 to 391.
- Work examples 1 to 4.
- Check your Understanding pg 390 # 1 to 12
Practice:
- Algebra 1 textbook pg 391 to 392 # 13 to 57
- Study Guide pg 421
- Intervention pg 422
- Skill Practice pg 423
- Practice Pg 424
Day Ten and Eleven:
Section 7-5: Graphing Systems of Equations
- Read and review pages 394 to 397.
- Work examples 1 to 4.
- Check your Understanding pg 396 # 1 to 11
Practice:
- Algebra 1 textbook pg 397 to398 # 12 to 49
- Study Guide pg 427
- Intervention pg 428
- Skill Practice pg 429
- Practice Pg 430
Day Twelve:
Chapter 7 Test Review
Day Thirteen:
CHAPTER 7 TEST
