Posts tagged algebra 2
Solving problems with the formula for distance, rate, and time

Before you can use the distance, rate, and time formula, D=RT, you need to make sure that your units for the distance and time are the same units as your rate. If they aren’t, you’ll need to change them so you’re working with the same units.

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Inverse variation of two variables and the constant of variation

The main idea in inverse variation is that as one variable increases the other variable decreases, which means that if x is increasing y is decreasing, and if x is decreasing y is increasing. The number k is a constant so it’s always the same number throughout the inverse variation problem.

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Using laws of logarithms (laws of logs) to solve log problems

Laws of logarithms (or laws of logs) include product, quotient, and power rules for logarithms, as well as the general rule for logs (and the change of base formula we’ll cover in the next lesson), can all be used together, in any combination, in order to solve log problems.

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Solving systems of three linear equations

Remember that a solution to a system of equations is the set of numbers that makes all of the equations true. If a three variable system has a solution, it’ll have a solution for each of the three variables.

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How to evaluate logs using the general log rule

You can always evaluate logs using the general log rule, but sometimes, depending on the value of the base and the argument, simplifying the exponential expression can be a little tricky.

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Solving systems of equation three ways: substitution, elimination, and graphing

There are three ways to solve systems of linear equations: substitution, elimination, and graphing. Substitution will have you substitute one equation into the other; elimination will have you add or subtract the equations to eliminate a variable; graphing will have you sketch both curves to visually find the points of intersection.

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Graph sketching to model word problems

Learn how to sketch the graph of a piecewise function from a story problem that represents the function. To start, it’s helpful to know that, in word problems, a horizontal line represents something staying the same, a positive slope shows an increase in something, and a negative slope shows a decrease in something.

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How to solve uniform motion problems

Uniform motion explains the distance of an object when it travels at a constant speed, the rate, over a period of time. To compare different rates, times, and distances you can use subscripts to keep track of which pieces go with which equation.

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