Mixed Review for Unit Test 1UNIT TEST 1

Jan 24

UNIT TEST 1Tuesday, Jan 24

Simplifying Algebraic FractionsMultiplication/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 # 11)

PRACTICE TEST2)

PRACTICE TEST3)

PRACTICE TEST4)

PRACTICE TEST5)

PRACTICE TEST6)

PRACTICE TEST7)

PRACTICE TEST8)

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 3Find the LCM of the following:

1. 2ab, 6abc, 9ac

2. 4a2b3, 8a3b2, 10abc2

3. x2 – 2x, x2 – 3x + 2

18abc

40a3b3c2

x(x – 2)(x – 1)

a + b + 3a – b - b - a 2x 3x 5x

30x

3m + 2 + 3 16 – m2 m - 4

(m + 4)(m – 4)

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

Perform the operation and simplify.

Perform the operation and simplify.