Algebra 2 Review

Algebra 2 Final Review

Multiple Choice

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Multiple Choice

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Multiple Choice

Rewrite the logarithmic equation as an exponent.
log₄25 = x

• 4^x = log
• 4²⁵ = x
• 4^x =25
• log = 4

Multiple Choice

Simplify. You should only have positive exponents.

b^-7f⁰b⁶

• 1/b

• b

• 0

• 1

Multiple Choice

Solve.  $\left(3w-8\right)\left(5+w\right)=0$  

•  $-\frac{8}{3},\ 5$  

•  $-\frac{8}{3},\ -5$  

•  $\frac{8}{3},\ 5$  

•  $\frac{8}{3},\ -5$  

Multiple Choice

Factor.

 $d^2-7d-120$  

•  $\left(d-8\right)\left(d+15\right)$  

•  $\left(d+8\right)\left(d-15\right)$  

•  $\left(d+10\right)\left(d-12\right)$  

•  $\left(d-10\right)\left(d+12\right)$  

Multiple Choice

What is 162 degrees in radians?

•  $\frac{9\pi}{10}$  

•  $\frac{4\pi}{5}$  

•  $\frac{7\pi}{6}$  

•  $\frac{13\pi}{12}$  

Multiple Choice

 $Roll\ the\log to\ solve\ for\ x:\ \log_x121=2$  

• 11

• 12

• 8

• 2

Multiple Choice

f(x) = $2x^2$ + 3

g(x) = 3x - 2

f(x) - g(x) = ?

•   $5x^2$  + 1

•  $2x^2-3x+5$ 

•  $2x^2-3x\ +\ 1$  

•  $-x^2+5$  

Multiple Choice

Factor: 24x³ + 42x² + 9x

• 3x(4x + 3)(2x + 1)

• x(12x + 3)(2x + 1)

• x(2x + 3)(12x + 1)

• 3x(2x + 3)(4x + 1)

Multiple Choice

Simplify.

• 3x³

• 3x⁵

• 3x^-3

• 3x^-5

Multiple Choice

Factor this trinomial: 2x² + 11x + 12

• (x + 3)(2x + 4)

• (2x + 2)(x + 6)

• (x + 2)(2x + 6)

• (2x + 3)(x + 4)

Multiple Choice

Factor 9x²-64

• (3x-8)(3x+8)
• (2x-8)(2x+8)
• (3x-4)(3x+4)
• (3x-8)²

Multiple Choice

What is the cosine of angle P?

• p/q
• q/r
• p/r
• r/q

Multiple Choice

Which Trig function do you use?

• Sine
• Cosine
• Tangent

Multiple Choice

Set up the problem.

• sin(47) = x/28
• cos(47) = x/28
• tan(47) = x/28
• cos(47) = 28/x

Multiple Choice

Choose the correct ratio.

• sinZ=5/13
• sinX=5/13
• cosX=13/12
• tanZ=12/5

Multiple Choice

• 24/32
• 32/24
• 32/40
• 24/40

Multiple Choice

Set up the problem so that you can solve for X.

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41