Algebra: Chapter 7 Review for Algebra Benchmark #2
Algebra Skills Practice 19/20 and the Benchmark #2 Practice and Review were started in class. The end of the Chapter Review is a good overview and practice of the entire chapter.
Remember, to solve problems using the slope-intercept formula, `y = mx + b`, you need to have (or solve first for) the slope, then using one of the ordered pairs given `(x, y)` solve for the y-intercept, b.
Given the slope `m`, and the y-intercept `b`, we can develop the equation by plugging in the values for the slope and the y-intercept.
An equation perpendicular to the given one will have to have its slope be the negative reciprocal for the product to be -1. In other words, `m_1 * m_2 = -1`
A new equation that has to be parallel to the given one, must have its slope be exactly the same, `m_1 = m_2`!
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Algebra: Chapter 3, Lesson 4, page 130.
Expressions and Equations
The phrase the quantity suggests a grouping of terms will follow. The words sum of, difference of , product of and quotient of also suggests a grouping of terms (USING PARENTHESES) to follow.
The quantity “3 less than a number” is written `n−3`. The text “4 times the quantity 3 greater than a number” is translated to `4(n+3)`.
Finally, here are some problem-solving guidelines:
Phase 1: UNDERSTAND THE PROBLEM
- What am I trying to find?
- What data am I given?
- Have I ever solved a similar problem?
Phase 2: Develop and carry out a PLAN
- What strategies might I use to solve the problem?
- How can I correctly carry out the strategies I select?
Phase 3: Find the ANSWER and CHECK
Two of tonight’s homework problems solved by MrE are here! Just click it!