solving fractional equations - lockport high school · web view2012-02-06 · step 4: solve for...
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Name: ____________________________________ Period: _____Packet 20: Solving Fractional
Equations
Example:
Step 1: Find the least common denominator
The least common denominator is _______
Step 2: Multiply every term in the equation by the least common denominator
Step 3: Reduce each term to create a “denominator free” equation
Step 4: Solve for the variable using the steps to solve an equation
We want to “get rid” of the denominators!
Step 1: Find the least common denominator for the equation
Step 2: Multiply every term in the equation by the least common denominator
Step 3: Reduce each term to create a “denominator free” equation
Step 4: Solve for the variable using the steps to solve an equation
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Let’s Try It!Remember to follow the four steps
(1)
(2)
(3)
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Fractional Equations PracticeFollow the four steps to solve the following equations. Show all of your work!
1) 2)
3) 4)
5)
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Fractional Equations Homework
Follow the four steps from class to solve the equations below. Show all of your work and make sure to put a box around your answer.
1) 2)
3) 4)
5) 6)
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If there is only 1 fraction in the equation:1st: Multiply EVERY piece of the equation by the denominator of that fraction.2nd: The fraction will disappear and you can proceed as usual!
1) 2) 3)
If there are 2 or more fractions in the equation:1st: Find the Least Common Denominator (LCD) of all of the denominators2nd: Multiply EVERY piece of the equation by the LCD
*Remember to put all (binomials in parentheses) before multiplying!3rd: Simplify and solve!
4) 5) 6)
5)
☼ Make sure you distribute and watch out for the negative!
6)
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LCD: ___ LCD: ___ LCD: ___
LCD: ___ LCD: ___
1) 2) 3)
4) 5) 6)
7) 8) 9)
Fractional Equations Homework
1) 2)
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3) LCD: ___ 4)
5) 6)
7) Solve for x: 5x – (x + 3) = 7 + 2(x + 2)
8) Using order of operations, evaluate:
3[4 – 8 + 42(2 + 5)]
9) Perform the indicated operation and express your answer in scientific notation:
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_________________________
Match each equation with the property it illustrates.Properties may be used more than once!
___10) 6 + (10 + 8) = (6 + 10) + 8
A) Additive Identity
B) Additive Inverse
C) Associative Property
D) Commutative Property
E) Distributive Property
F) Multiplicative Identity
G) Multiplicative Inverse
___11) 6 + 10 = 10 + 6
___12) –10 + 0 = –10
___13)
___14) 7(x – 13) = 7x – 91
___15) 0 + 16 = 16
___16) 20 + (–20) = 0
___17) 3(2) = 2(3)
___18) 5(6 • 3) = (5 • 6)3
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1. − 8x − 2 = − 26 2. − 1.5 = 0.5x + 7
3. ( 5x + 1 ) – ( 2x – 6 ) = 7 4. 6x + 1 3x − 10 = − 63
5. 3 ( 2x – 1 ) = 7x + 2 6. 4x − ( 6x – 8 ) = x + 18
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7. + 6 = 8 8. − = 2
9. − = − 17 10. + =
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