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Algebra 1a: Chapter 1, Lesson 10, page 44 Reasoning Strategies – or Try, Test and Revise UNDERSTAND the Problem Develop and carry out a PLAN Find the ANSWER and CHECK Strategies look like: Draw a diagram Make an Organized list … Continue reading →

Algebra 1a: Chapter 1, Lesson 9, page 40. Using Formulas A formula is an equation that shows a relationship between 2 or more variables. The formula for the area of a rectangle is: Area `a = l ⋅ w` Given … Continue reading →

Algebra 1a: Chapter 1, Lesson 8, page 38. Reasoning Strategies Reasoning Strategies to use: Phase 1: UNDERSTAND the problem What am I trying to find out? What data am I given? Have I ever solved a similar problem? Phase 2: … Continue reading →

Algebra 1a: Chapter 1, Lesson 7, page 33. Solving Equations, An Introduction An EQUATION is a mathematical sentence that uses the equal sign `=` to state that 2 expressions represent the same number or are equivalent. An equation that contains … Continue reading →

Algebra 1a: Chapter 1, Lesson 6, page 29. Writing Expressions “Many problems can be solved by translating data given with words into algebraic expressions. To do this, you must know which phrases suggest each of the operations (addition, subtraction, multiplication … Continue reading →

Algebra 1a: Chapter 1, Lesson 5, page 24. Distributive Property of Mutiplication over Addition The distributive property of mulitplication over addition is written as `a(b+c)=ab+ac`. For example: `3(x+2)=3x+6` The opposite of distribution is factoring where we go backward. For example: … Continue reading →

Algebra 1a: Chapter 1, Lesson 4, page 19. The Associative Property QUIZ #1 ON TUESDAY, MAKE SURE THAT YOUR NOTES AND CALCULATOR ARE WITH YOU! IT IS WORTH 100 POINTS! We discussed the use of the Associative property by re-grouping … Continue reading →

Algebra 1a: Chapter 1, Lesson 3, page 15. Exponential Notation A product in which the factors are the same is called a power. We can write `2⋅2⋅2⋅2` as `2^4`. The number 4 is called the exponent and the 2 is … Continue reading →

Algebra 1a: Chapter 1, Lesson 2, page 9. The Commutative and Identity Properties Commutative property is only for addition and multiplication. `x+5=5+x` `5*y=y*5` Remember the identify properties of addition (0) and multiplication (1). Anything to the 1st power is the … Continue reading →

Algebra 1a: Chapter 1, Lesson 1, page 4. Symbols and Expressions In algebra, we use symbols to stand for various numbers. One type of symbol is called a VARIABLE. An expression such as `396/v` and contains at least one variable … Continue reading →