PreCalculus Midterm Review

Form a polynomial with the given zeros: 2 (mult 2), 3 and 5.

• x³ - 10x² + 31x - 30
• x⁴ + 12x³ + 51x² + 92x + 60
• x⁴- 12x³ + 51x²- 92x + 60
• x³ + 10x²+ 31x + 30

Tags

CCSS.HSA.APR.B.3

Find the horizontal asymptotes (if any) of the following. (3x + x² - 8x + 2)/(x² - 1)

• None
• y = 1
• y = 3
• y = 0

Tags

CCSS.HSF-IF.C.7D

Find the slant asymptote (if any) of the following: (3x² - 5)/(x + 5)

• x = 5
• None
• 3x - 1
• y = 3x - 15

Tags

CCSS.HSF-IF.C.7D

Solve for x: 9^2x = 27

• x = 3/4
• x = 81
• x = 3
• x = 3/2

Tags

CCSS.6.EE.B.7

log₇(x - 48) + log₇x = 2

• 7
• 49
• -1
• undefined

What is the range of the function pictured?

• y ∈ [-4, 4]
• x ∈ [-4, 4]
• y ∈ [-3, 1]
• All reals

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Solve for x.
(3x + 2)/5  - (6x + 4)/3  =14/3

• x = 2
• x = 4
• x = 1
• x = -4

Tags

CCSS.8.EE.C.7B

Solve for x. 
e^2x - 6e^x + 8 = 0

• x = ln 2
• x = ln 4 and x = ln 2
• x = ln 4
• No solution

In order for x - 2 to be a factor of x³ - 3x² + kx + 8, what is the value of k?

• -2
• -1
• 0
• 1

Tags

CCSS.HSA.APR.B.2

Given g(x) = (2 - 3x)/(5x), write an equation for g^-1(x).

• g^-1(x) = 2/(5x - 3)
• g^-1(x) = (2 - 3x)/(5x)
• g-1(x) = (2 + 3x)/(5x)
• g^-1(x) = 2/(5x + 3)

Tags

CCSS.HSF-BF.B.4A