Mixed Review for Unit Test 1 UNIT TEST 1 Jan 24

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

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

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

PRACTICE TEST # 1 1)

PRACTICE TEST 2)

PRACTICE TEST 3)

PRACTICE TEST 4)

PRACTICE TEST 5)

PRACTICE TEST 6)

PRACTICE TEST 7)

PRACTICE TEST 8)

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.

Add/subtract the following.

Simplify the following: 1)

Simplify the following: 2)

Simplify the following: 3)

Simplify the following: 4)

Simplify the following: 5)

Simplify the following: 6)

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 abc 40a 3 b 3 c 2 x(x – 2)(x – 1)

a + b + 3a – b - b - a 2x 3x 5x 30x

3m – m 2 m - 4 (m + 4)(m – 4)

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

Perform the operation and simplify.