4TH QUARTER_GENMATH_REVIEWER

Maryjoy can bake a cake in 2 hours. Clarissa can do it in 4 hours. How long will it take them to bake a cake if they joined together?

• 
  2 hours

• 
  1 1/6 hours

• 
  1 1/3 hours

• 5/3 hours

Bill’s father can paint a room in 3 hours less than Bill can paint it. Working together they can complete the job in 2 hours. How much time would Bill’s father require working alone?

• 3 hours

• 6 hours

• 1 hour

• 4 hours

Kyle and Joey are driving. Kyle drives 5 mph faster than joey. In the same amount of time Kyle drives 87.1 miles, Joey drives 80.6 miles. How quickly are each driver driving?

• Kyle: 80mph
  Joey: 87mph

• Kyle: 67mph
  Joey: 62mph

• Kyle: 62mph
  Joey: 62mph

• Kyle: 87mph
  Joey: 87mph

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)

• (-1, -2) (-3, -8) (3, -6)

• (1, 2) (8, 3) (-3, 6)

• 
  (2, 1) (8, 3) (6, -3)

Find the inverse of f(x) = -4x - 12

• 
  f^-1(x) = 4x - 3

• f^-1(x) = 1/4x + 3

• 
  f^-1(x) = -1/4x - 3

• 
  f^-1(x) = -4x - 3

Anything raised to a power of zero is always: 

• 0

• itself

• 1

• negative

Simplify:

5^-3 ⋅ 5⁴

• 5,354

• 
  5¹²

• 
  
  5⁻¹

• 5

Simplify:

(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

• 
  x¹⁹y¹²z⁹

• x¹³y¹⁰z⁹

• 
  x¹⁹ y¹⁴z⁹

• x²³y⁴²z¹¹

Solve for x:

(1/8)^x = 2³

• x = −3

• x = −1

• 
  x = 3

• x = 1

Solve:

1/81 < 9^2x-4

• x < 1

• x > 1

• x > 9

• 
  x < -1