Common Core: HSA-REI.A.2

Related Topics:

Algebra Word Problems

Common Core (Algebra)

Common Core for Mathematics

Examples, solutions, videos and lessons to help High School students learn how to solve**simple rational** and radical equations in one
variable, and give examples showing how extraneous solutions may
arise.
### Suggested Learning Targets

**Extraneous Solutions to Rational Equations**

Examples:

Solve and eliminate any extraneous solutions:

x^{2}/(x + 2) = 4/(x + 2)

**Solve a Rational Equation with Extraneous Solution**

Solve a rational equation by multiplying both sides by the LCD and check the answers for extraneous solutions.

Solve 4(x - 3)/(x^{2} - 36) = 1/(6 - x) + 2x/(6 + x)

** Solving Rational Equations**

This video explains how to solve rational equations.

Examples:

1. 2/3 - 5/6 = 1/t

2. (x + 2)/(x - 6) = (x - 1)/(x + 2)

3. x/(x + 3) - x/(x - 2) = 10/(x^{2} + x - 6)

4. 4y/(y + 2) - 3y/(y - 1) = (y^{2} - 8y - 4)/(y^{2} + y - 2)
** Ex 1: Solving Rational Equations.**

Examples:

1. 2x/15 - 1/6 = x/5

2. 5/(x - 3) = 4/(x + 2)

**Ex 2: Solving Rational Equations.**

Examples:

1. 2/5x - 3 = 4/x

2. 2x - 16/x = 4

**Ex 3: Solving Rational Equations.**

Examples:

1. (x + 4)/x = 6/(x - 4)

2. 5/(x - 7) = -2x/(x + 3)

**Ex 4: Solving Rational Equations.**

Examples:

1. x/(x - 2) - x/(x^{2} - 4) = (x + 3)/(x + 2)

2. 5/(x - 3) = 4/(x + 2)

**Ex 5: Solving Rational Equations.**

Examples:

1. (x - 3)/(x + 6) + (x - 2)/(x - 3) = x^{2}/(x^{2} + 3x - 18)

2. 5/(x - 3) = 4/(x + 2)

**Applications of Rational Equations I**

The video explains application problems that use rational equations. Part 1 of 2.** Applications of Rational Equations II**

The video explains application problems that use rational equations. Part 2 of 2.

Related Topics:

Algebra Word Problems

Common Core (Algebra)

Common Core for Mathematics

Examples, solutions, videos and lessons to help High School students learn how to solve

- Solve simple rational and radical equations in one variable and provide examples of how extraneous solutions arise.

Examples:

Solve and eliminate any extraneous solutions:

x

Solve a rational equation by multiplying both sides by the LCD and check the answers for extraneous solutions.

Solve 4(x - 3)/(x

This video explains how to solve rational equations.

Examples:

1. 2/3 - 5/6 = 1/t

2. (x + 2)/(x - 6) = (x - 1)/(x + 2)

3. x/(x + 3) - x/(x - 2) = 10/(x

4. 4y/(y + 2) - 3y/(y - 1) = (y

Examples:

1. 2x/15 - 1/6 = x/5

2. 5/(x - 3) = 4/(x + 2)

Examples:

1. 2/5x - 3 = 4/x

2. 2x - 16/x = 4

Examples:

1. (x + 4)/x = 6/(x - 4)

2. 5/(x - 7) = -2x/(x + 3)

Examples:

1. x/(x - 2) - x/(x

2. 5/(x - 3) = 4/(x + 2)

Examples:

1. (x - 3)/(x + 6) + (x - 2)/(x - 3) = x

2. 5/(x - 3) = 4/(x + 2)

The video explains application problems that use rational equations. Part 1 of 2.

The video explains application problems that use rational equations. Part 2 of 2.

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