End of Year Algebra

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

x³ - 27

• (x - 4)(x² + 4x + 16)

• (x + 3)(x² - 4x + 16)

• (x - 1)(x² + 1x + 1)

• (x - 3)(x² + 3x + 9)

Simplify. 

• (m+6)/(m-3)

• 7/(m-3)

• 7(m+6)

• (m-3)

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8

• 9

• 5

• 3

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

What is the Logarithm used in the Change of Base Formula?

• Base 1

• Common Logarithm (Base 5)

• Common Logarithm (Base 10)

• Common Logarithm (Base 1)

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Rewrite log₃t = 5 in exponential form.

• 5^t=3

• log₃5 = log₃t

• t⁵=3

• 3⁵=t

Rewrite as a single log: 4 log g - 2 log h

• log (4g/2h)

• log (g^4/h^2)

• log (g^4 - h^2)

• log (2gh)