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Mixed Review for Unit Test 1 UNIT TEST 1 Jan 24

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UNIT TEST 1 Tuesday, Jan 24 Simplifying Algebraic Fractions Multiplication/Division of Algebraic Fractions Finding the LCD Addition/Subtraction of Algebraic Fractions

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Simplifying Algebraic Fractions/Rational Expressions 1) Factor the numerator and denominator completely. 2) Cancel common factors.

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REMEMBER: Cancellation is done after both numerator and denominator have been completely factorized.

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PRACTICE TEST # 1 1)

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PRACTICE TEST 2)

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PRACTICE TEST 3)

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PRACTICE TEST 4)

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PRACTICE TEST 5)

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PRACTICE TEST 6)

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PRACTICE TEST 7)

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PRACTICE TEST 8)

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When denominators differ only by sign, we can make them equal by changing the sign of the numerator. The denominator is changed to -1(b – 2) by factoring out -1. The numerator –a is changed to a and the denominators are now the same.

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Add/subtract the following.

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Simplify the following: 1)

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Simplify the following: 2)

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Simplify the following: 3)

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Simplify the following: 4)

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Simplify the following: 5)

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Simplify the following: 6)

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Practice Test 3 Find the LCM of the following: 1.2ab, 6abc, 9ac 1.4a 2 b 3, 8a 3 b 2, 10abc 2 2.x 2 – 2x, x 2 – 3x + 2 18abc 40a 3 b 3 c 2 x(x – 2)(x – 1)

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a + b + 3a – b - b - a 2x 3x 5x 30x

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3m + 2 + 3 16 – m 2 m - 4 (m + 4)(m – 4)

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Alternative solution (4 + m)(4 - m)

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Perform the operation and simplify.

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