Algebra

True or false? 1/(x - y) = 1/x - 1/y

• True

• False

Simplify (x² + 3x + 2)/(x² - x - 2)

• cannot be simplified

• (x(x + 3) + 2)/(x(x - 1) - 2)

• (x + 2)/(x - 2)

• (x + 3)/(x - 1)

When solved, which equation gives 1 as a result?

• none

• x + 5 = 14 - x/2

• 2x/(x + 1) = (2x - 1)/x

• x² + 4x + 3 = 0

Evaluate 16^-3/4

• 1/16

• 1/8

• 16^-3/4

• 1/⁴√(16³)

Factor x³y - 4xy

• x(x²y - 4y)

• x²(xy - 4y)

• xy(x² - 4)

• xy(x - 2)(x + 2)

Solve the equation x² - x - 12 = 0

• -3, 4

• 12

• 1, 12

• 3, -4

Simplify (3a³b³)(4ab²)²

• 48a⁵b⁷

• 144a⁴b⁵

• 144a⁶b¹²

• 48a⁸b¹⁰

Expand and simplify (x + 2)³

• x³ + 8

• x³ + 6x² + 12x + 8

• x³ + 6x² + 8

• x³ + 4x² + 8x + 8

Rationalize and simplify √10 / (√5 - 2)

• cannot be rationalized

• 5√2 + 2√10

• √50 + 2√10

• (5√2 + 2√10)/(9 - 4√5)

True or false? √ab = √a√b

• True

• False