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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 ...

Equation of a Circle

"A circle can't be represented by a function, as proved by the vertical line test. However, we can obtain an equation that describes the full circle by using the distance formula between the given cen ...

Similar Triangles in Circles and Right Triangles

"Two triangles in a circle are similar if two pairs of angles have the same intercepted arc. Sharing an intercepted arc means the inscribed angles are congruent. Since these angles are congruent, the ...

Significant Figures

"When working with scientific data, we only want to show as many figures as carry accurate meaning, called significant figures. When adding or subtracting two numbers, we round to the same number of d ...

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 ...

Electronegativity

"Electronegativity is a quantitative measure of how tightly an atom holds onto its electrons. Bond polarity results from imbalanced electronegativities of the atoms involved in bonding. Electronegativ ...

Secants

"A secant is a line, ray, or line segment that intersects a circle in two places. Three points are covered: (1) secants that intersect in a circle which divide each other proportionally, (2) the angl ...

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