• #### Adding and Subtracting Rational Expressions - Problem 9

##### Math›Algebra 2›Rational Expressions and Functions
Distance equals rate times time as boat in current problem.
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• #### Solving a Logarithmic Equation - Problem 3

##### Math›Precalculus›Exponential and Logarithmic Functions
How to solve a logarithmic equation with a single logarithm on both sides of the equal sign.
• #### Intervals of Increase and Decrease - Problem 3

##### Math›Calculus›Applications of the Derivative
How to show that the limit does not exist by showing that the left-hand limit does not equal the right-hand limit.
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• #### Pythagorean Theorem Proofs - Concept

##### Math›Trigonometry›Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
• #### Pythagorean Theorem Proofs - Concept

##### Math›Geometry›Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
• #### The Geometric Representation of Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude.
• #### The Dot Product of Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to prove that the dot product uu of a vector with itself equals the square of its magnitude abs(u)^2.
• #### Factoring Trinomials, a is not 1 - Problem 11

##### Math›Algebra›Factoring
A geometric interpretation of factoring trinoimals that uses a length times width equals area rectangular model. A "diamond puzzle" is used to find the rectangle's sub-areas.
• #### Solving a Logarithmic Equation - Problem 3

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve a logarithmic equation with a single logarithm on both sides of the equal sign.
• #### Solving Simple Logarithmic Equations - Problem 5

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve a logarithmic equation that is equal to zero.
• #### Solving Exponential Equations with the 'Same' Base - Concept

##### Math›Precalculus›Exponential and Logarithmic Functions
How to solve an exponential equation where the bases are the same.
• #### Solving Exponential Equations with the 'Same' Base - Problem 3

##### Math›Precalculus›Exponential and Logarithmic Functions
How to solve an exponential equation using negative exponents.
• #### Solving Exponential Equations with the 'Same' Base - Problem 1

##### Math›Precalculus›Exponential and Logarithmic Functions
How to solve an exponential equation where one base has to be changed.
• #### Solving Exponential Equations with the 'Same' Base - Problem 2

##### Math›Precalculus›Exponential and Logarithmic Functions
How to solve an exponential equation where both bases have to be changed.
• #### Solving Exponential Equations with the 'Same' Base - Concept

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve an exponential equation where the bases are the same.
• #### Solving Exponential Equations with the 'Same' Base - Problem 3

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve an exponential equation using negative exponents.
• #### One-Sided Limits - Problem 2

##### Math›Calculus›Limits and Continuity
How to show that the limit does not exist by showing that the left-hand limit does not equal the right-hand limit.
• #### Solving Exponential Equations with the 'Same' Base - Problem 2

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve an exponential equation where both bases have to be changed.
• #### Solving Exponential Equations with the 'Same' Base - Problem 1

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve an exponential equation where one base has to be changed.
• #### One-Sided Limits - Problem 1

##### Math›Calculus›Limits and Continuity
How to use one-sided limits to show that the limit exists by showing that the the left-hand limit must equal the right-hand limit.
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