Algebra: 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
- Look for a Pattern
- Try, Test and Revise
- Use Logical Reasoning
- Simplify the Problem
- Write an Equation
- Make a Table
- Work Backwards
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Algebra 1a: Chapter 1, Lesson 5, page 24 (DAY 3).
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:
`3x+3y=3(x+y)`
In an expression like `6s+6t+6w`, the `6s`, `6t` and `6w` are called terms. Like terms are terms with like variables THAT HAVE THE SAME EXPONENT!
You can collect like terms, for example:
`6y^2+2y^2` is the same as `8y^2`
and `4x^3+5x^3` is the same as `9x^3`
Try these 2 links from purplemath.com, this one for distribution and this one for factoring.
Two of tonight’s homework problems solved by MrE are here! Just click it!!