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Expanding Logarithms

"Sometimes we use methods for expanding logarithms in complicated logarithmic terms. Expanding logarithms can be useful for obtaining more simplified terms. When expanding logarithms we use the rules ...

Evaluating Rational Exponents

"Rational exponents indicate two properties: the numerator is the base's power and the denominator is the power of the root. When evaluating rational exponents it is often helpful to break apart the e ...

Simplifying Radical Expressions

"Radical expressions are square roots of monomials, binomials, or polynomials. One way of simplifying radical expressions is to break down the expression into perfect squares multiplying each other. A ...

Simplifying Expressions with Exponents

"We can use what we know about exponents rules in order to simplify expressions with exponents. When simplifying expressions with exponents we use the rules for multiplying and dividing exponents, and ...

Estimating Square Roots

When a radical is not a perfect square (1, 4, 9, 16, …), estimating square roots is a valuable tool. When asked to estimate the value of a radical between two consecutive integers, find the two ...

Simplifying Complex Fractions

"Simplifying rational expressions combines everything learned about factoring common factors and polynomials. When simplifying complex fractions, factor the numerator and denominator into terms multip ...

Shifts in Absolute Value Graphs

"Once we learn about absolute value graphing, we can use shifts in absolute value graphs to more easily graph new absolute value equations. We can use specific rules for the addition of constants with ...

Selling Multiple Items

"To solve word problems where someone is selling multiple items, a background knowledge of setting up a system of equations is necessary. Problems where someone is selling multiple items are common on ...

Rules of Exponents

"Since we often see exponents throughout all math courses, it is important to understand the rules of exponents. We need to understand how to distribute, add, multiply and divide exponents in order to ...

Domain and Range

"An important part of understanding functions is understanding their domain and range. Domain and range are all the possible x-values and y-values of the function, and can often be described easily by ...

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