 ## CCSS.MATH.CONTENT.HSA.APR.D.7

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## Definition--Rational Expressions

### The definition of the term "Rational Expressions." ## MATH EXAMPLE: Rational Expressions: Example 01

### Example 1: Combining rational expressions of the form 1/a + 1/b. ## MATH EXAMPLE: Rational Expressions: Example 02

### Example 2: Combining rational expressions of the form 1/a - 1/b. ## MATH EXAMPLE: Rational Expressions: Example 03

### Example 3: Combining rational expressions of the form 1/(ax) + 1/b, under the following conditions: a = 1, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 04

### Example 4: Combining rational expressions of the form 1/(ax) - 1/b, under the following conditions: a = 1, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 05

### Example 5: Combining rational expressions of the form 1/(ax) + 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 06

### Example 6: Combining rational expressions of the form 1/(ax) - 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 07

### Example 7: Combining rational expressions of the form 1/(ax) + 1/b, under the following conditions: a = b. ## MATH EXAMPLE: Rational Expressions: Example 08

### Example 8: Combining rational expressions of the form 1/(ax) - 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 09

### Example 9: Combining rational expressions of the form a/(bx) + c/(dx), under the following conditions: a = c = 1, b > 0, d > 0. ## MATH EXAMPLE: Rational Expressions: Example 10

### Example 10: Combining rational expressions of the form a/(bx) - c/(dx), under the following conditions: a = c = 1, b > 0, d > 0. ## MATH EXAMPLE: Rational Expressions: Example 11

### Example 11: Combining rational expressions of the form a/(bx) + c/(dx), under the following conditions: a > 0, b > 0, c > 0, d > 0. ## MATH EXAMPLE: Rational Expressions: Example 12

### Example 12: Combining rational expressions of the form a/(bx) - c/(dx), under the following conditions: a > 0, b > 0, c > 0, d > 0. ## MATH EXAMPLE: Rational Expressions: Example 13

### Example 13: Combining rational expressions of the form 1/(x + a) + 1/b, under the following conditions: a = 1, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 14

### Example 14: Combining rational expressions of the form 1/(x + a) - 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 15

### Example 15: Combining rational expressions of the form 1/(x - a) + 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 16

### Example 16: Combining rational expressions of the form 1/(x - a) + 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 17

### Example 17: Combining rational expressions of the form 1/(x - a) - 1/b, under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 18

### Example 18: Combining rational expressions of the form 1/(x + a) + 1/(x + b), under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 19

### Example 19: Combining rational expressions of the form 1/(x + a) - 1/(x + b), under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 20

### Example 20: Combining rational expressions of the form 1/(x - a) + 1/(x + b), under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 21

### Example 21: Combining rational expressions of the form 1/(x + a) + 1/(x - b), under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 22

### Example 22: Combining rational expressions of the form 1/(x - a) + 1/(x - b), under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 23

### Example 23: Combining rational expressions of the form 1/(x + a) - 1/(x + b), under the following conditions: a > 0, b > 0. ## MATH EXAMPLE: Rational Expressions: Example 24

### Example 24: Combining rational expressions of the form 1/(x - a) - 1/(x + b), under the following conditions: a > 0, b > 0. 