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7.4 Adding & Subtracting Rational Expressions with work 1 Feb 1511:02 AM 7.4 Adding and Subtracting Rational Expressions Adding and subtracting rational expressions is similar to adding and subtracting fractions. You MUST have a COMMON DENOMINATOR . Things like x ‐ 2 or 3x + 4 are considered factors of the COMMON DENOMINATOR . Feb 103:35 PM Find the LCD of the following rational expressions. and and and and LCD: _________ LCD: _________ LCD: _________ LCD: _________

COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

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Page 1: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

1

Feb 15­11:02 AM

7.4 Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions is similar to adding and subtracting fractions. You MUST have a COMMON DENOMINATOR. 

Things like x ‐ 2 or 3x + 4 are considered factors of the COMMON DENOMINATOR. 

Feb 10­3:35 PM

Find the LCD of the following rational expressions.

and and

andand

LCD: _________ LCD: _________

LCD: _________ LCD: _________

Page 2: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

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Layer reveal

Find the LCD PullPull

Multiply each rational expression (on top and bottom) by whatever is MISSING to have the common denominator.

PullPull

Add (or subtract) the numerators by combining like terms. If you are subtracting, then ALL the signs in the numerator of the subtracted expression will change.

PullPull

Factor and simplify if necessary. PullPull

Factor each denominator, if possible. PullPull

To add and subtract rational expressions:

Watch videoWatch video

Feb 10­3:39 PM

Add and Subtract rational expressions:

Page 3: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

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Feb 10­3:49 PM

Feb 10­3:49 PM

Page 4: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

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Apr 13­10:54 AM

HOMEWORK DAY ONE

Mar 1­7:19 PM

Simplify the following rational expressions.

7.4 DAY TWO: + & ­ Rational Expressions

Page 5: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

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Mar 1­7:19 PM

Mar 1­7:20 PM

Page 6: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

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Mar 20­2:41 PM

Complex Fractions

Apr 16­1:22 PM

Page 7: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

7

Mar 20­2:42 PM

Practice: 

Apr 16­1:22 PM

Page 8: COMMON DENOMINATOR. Things like x ‐ 2 or 3x + 4 are ...mrsmichellenoble.weebly.com/uploads/1/1/0/8/... · 2 Layer reveal Find the LCD Pull ... SMART Board Interactive Whiteboard

7.4 Adding & Subtracting Rational Expressions with work

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Mar 1­7:20 PM

HW: pg. 388: 

A: 17, 25, 27, 29, 37, 43, 49, 51, 55, 58 ­ 61

B: 1, 7, 15, 17, 23, 25, 27, 29, 37, 43, 49, 58 ­ 61

C: 1 ­ 43 (o), 58 ­ 61

ANSWERS:58. (1, 7) and (2, 10)

60. no solution