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 1a: Chapter 3, Lesson 3, page 125 (day #2).
Using the Properties Together
You can solve these equations in a variety of ways. Remember the objective is to ISOLATE the variable on one side. You can add, subtract, multiply or divide the same thing on both sides of the equation.
Follow these 4 steps:
- You should solve equations with parenthesis using the distributive property
- If there are like terms on one side of the equation, collect those first.
- Add and subtract the constants
- Finally, multiply or divide by the coefficient (next to the variable) to isolate the variable
Practice makes perfect and be sure to SHOW ALL THE STEPS! Purplemath has some examples here about these multi-step equations.
Don’t forget to use the reciprocal, its sometimes the same as dividing but faster.
DO NOT TAKE ANY SHORTCUTS, SHOW ALL THE WORK IN ALL ITS GORY DETAIL, THIS WILL REALLY SAVE YOU IN THE LONG RUN BY CUTTING DOWN ON SILLY MISTAKES!!
Two of tonight’s homework problems solved by MrE are here! Just click it!