Adding and Subtracting Rational Numbers Lesson

9 Slides • 6 Questions

1

Adding and Subtracting Rational Expressions

2

Today's objectives

add and subtract rational expressions with like denominators
factor polynomials
add and subtract rational expressions with unlike denominators
find the least common denominator
simplify rational expressions

3

Adding and Subtracting with Like Denominators

Ex: $\frac{7}{4x}+\frac{3}{4x}=\frac{10}{4x}$

$=\frac{5}{2x}$

4

Multiple Choice

Find the sum:

\frac{1}{x}+\frac{9}{x}=

1

$\frac{10}{x}$

2

$\frac{10}{2x}$

3

$\frac{5}{x}$

4

$\frac{10}{x^2}$

5

Multiple Choice

Find the difference:

\frac{2x}{x^3-2}-\frac{1}{x^3-2}

1

$\frac{2x-1}{x^3-2}$

2

$\frac{2x+1}{x^3-2}$

3

$\frac{2x-1}{2x^3-4}$

4

$\frac{2x+1}{2x^3-4}$

6

Adding and Subtracting with unlike denominators

So far, we achieved our first objective, which is to add and subtract rational expressions with like denominators
Next, we will learn about adding and subtracting rational expressions with unlike denominators
Follow the steps in order with your teacher
What questions do you have?

7

Multiple Choice

Find the sum:

\frac{4}{6}+\frac{1}{8}=

1

$\frac{19}{24}$

2

$\frac{19}{48}$

3

$\frac{5}{14}$

4

$\frac{1}{2}$

8

9

Multiple Choice

Solve

1

5/10

2

7/10

3

1/8

4

10/8

10

Example of adding rational expressions with unlike denominators

11

Multiple Choice

Find the sum:

\frac{6k}{k+2}+\frac{3}{k+5}=

1

2

3

4

12

13

Multiple Choice

Hint: Factor first

1

2

3

4

14

15

The end!! :D

Today, you learned to:
add and subtract rational expressions with like denominators
add and subtract rational expressions with unlike denominators

Adding and Subtracting Rational Expressions

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