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Biology and Chemistry Review of Carbon Compounds 150 150 Deborah

Biology and Chemistry Review of Carbon Compounds

Overview Carbon compounds are essential to life, and are the basis of organic chemistry. Carbon is a versatile element that can form bonds with other elements that are necessary to living organisms.  Carbohydrates, lipids, nucleic acids, and proteins are some important types of organic compounds. Figure 1: Types of carbon compounds that are essential to…

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Biology Review of Renewable and Nonrenewable Resources 150 150 Deborah

Biology Review of Renewable and Nonrenewable Resources

Overview Resources can be classified as renewable or nonrenewable. Both renewable and nonrenewable resources must be managed wisely. Nonrenewable resources such as coal, metals, oil, and natural gas exist in a finite amount. Renewable resources, such as wind or water power, exist in nearly unlimited amounts. However, if a renewable resource is depleted past the point…

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Math Review of Solving Quadratic Equations by Completing the Square 150 150 Deborah

Math Review of Solving Quadratic Equations by Completing the Square

Overview Many quadratic equations can be solved by a process called “completing the square.” The process uses the definitions of square roots, as well as the principles of adding or subtracting constants. Equations in the Form ax2 = p Equations in the form ax2 = p are quadratic equations. Suppose the coefficient a is equal…

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Stoichiometry: Dealing with Excess and Limiting Reactants 3867 2578 School Tutoring

Stoichiometry: Dealing with Excess and Limiting Reactants

Overview: In many chemical reactions there is an excess reactant a limiting reactant. The amount of product produced is determined by the stoichiometric calculations using the amount of limiting reactant present in the reaction. This means that not all of the excess reactant is used up during the reaction since there is no more of…

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Math Review of Factors of Polynomials 150 150 Deborah

Math Review of Factors of Polynomials

Overview A factor is an even divisor of another number or expression. For example, 3 is a factor of 12 because 12 can be evenly be divided by 3. The number 4 is a factor of 4x + 8y, because 4 is an even divisor of both 4x and 8y. Polynomials, like other numbers, variables,…

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Math Review of Factoring Quadratic Trinomials 150 150 Deborah

Math Review of Factoring Quadratic Trinomials

Overview Many quadratic trinomials follow a pattern that can be used to factor them. These patterns include the patterns for perfect square trinomials, the pattern for the difference of squares, and the pattern for using the properties of algebra. FOIL All the patterns for factoring quadratic trinomials use the FOIL method of multiplying binomials. FOIL…

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Math Review of Solving Quadratic Equations by Factoring 150 150 Deborah

Math Review of Solving Quadratic Equations by Factoring

Overview Although the Quadratic Formula can be used to solve quadratic equations, or show that the equation has no solution, it is not always necessary to use it. Some quadratic equations can be solved right away by factoring, which is a much shorter and easier process. The Zero Product Property The Zero Product Property is…

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Math Review of Solving Systems by Addition and Multiplication 150 150 Deborah

Math Review of Solving Systems by Addition and Multiplication

Overview Although systems of equations can be solved by substitution, there are situations where systems of equations can be solved by addition and multiplication. If the coefficients of one variable are opposite, they can be solved by addition, but sometimes the coefficients of one equation have to be multiplied by a constant in order for them…

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Math Review of Applications of Percents 150 150 Deborah

Math Review of Applications of Percents

Overview Applications of percents are widely used in many areas, from figuring sale prices to measurement of increase or decrease. Knowing how to translate words into meaningful equations is an important part of mathematical literacy. Definition The definition of percentage and the percent sign % is per 100. It is a fraction or a ratio.…

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How to Calculate Work Done by a Force 1069 694 School Tutoring

How to Calculate Work Done by a Force

Work is the energy applied to an object as it moves some distance. The amount of work done is directly proportional to the magnitude of force applied, as well as the displacement of the object. In some cases, there may be an angle between the direction of displacement and force vector. The force must be…

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