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Published byAnnice Ashlee Robertson Modified over 9 years ago
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Warm-Up -4 + 5x 3x +12 2x – (4 – 5x) = 3(x + 4) 2x – 4 + 5x = 3x + 12
1.) 2x – (4 – 5x) = 3(x + 4) 2x – 4 + 5x = 3x + 12 x # 2 -4 7x – 4 = 3x + 12 5 -3x -3x 7x -4 4x – 4 = 12 +4 +4 4x = 16 4 4 x = 4 BPHS
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CA Standards: Objectives: Agenda 1.) Warm - Up
4.0: Students simplify expressions before solving linear equations in one variable. 12.0: Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. Objectives: (1) Students simplify expressions use inverse operations to solve equations. Agenda 1.) Warm - Up 2.) Lesson Fractions #1 ppt. 3.) Assignment
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For example: Zapping Fractions Pencils Down Anytime you see a fraction
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An easy way to solve equations with fractions, is to zap the equation with multiplication.
Example 1: 1 3● zap 1 We need to zap that 3 with multiplication. So multiply EVERYTHING by 3. Write This!
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Zapping Fractions 5● 1 1 Example 2: zap
We need to zap that 5 with multiplication. So multiply everything by 5.
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Zapping Fractions 3● 1 1 Try one: zap
We need to zap that 3 with multiplication. So multiply everything by 3.
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Equations with fractions
When there is more than one fraction Two Examples: Example 3: Example 4:
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Example 3: 21● 3 7 7 1 1 1 What #’s are in the denominator? 7 and 3
Multiply those numbers. 7●3 = 21 21● Distribute that number into EVERYTHING! 3 7 7 Reduce the top and bottom. 1 1 1 D C M A D
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You try: 12● 4 3 3 1 1 1 What #’s are in the denominator? 3 and 4
Multiply those numbers. 3●4 = 12 12● Distribute that number into EVERYTHING! 4 3 3 Reduce the top and bottom. 1 1 1 D C M A D
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Example 4: 24● 6 8 12 1 1 1 What #’s are in the denominator?
4, 3 and 2 Multiply those numbers. 4●3●2 = 24 24● Distribute that number into EVERYTHING! 6 8 12 Reduce the top and bottom. 1 1 1 D C M A D x # 6 8 14x
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You Try: 30● 10 15 6 1 1 1 What #’s are in the denominator? 3, 2 and 5
Multiply those numbers. 3●2●5 = 30 30● Distribute that number into EVERYTHING! 10 15 6 Reduce the top and bottom. 1 1 1 D C M A D x # 20 15 35x
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