Algebra 2 GT Test Review

Multiple Choice

√24

• 4√6
• 2√6
• 6√2
• 2√12

Multiple Choice

Simplify:
3√16

• 12
• 48
• √12
• 3√4

Multiple Choice

Simplify:
√10 ⋅ √45

• 3√50
• 8√2
• √450
• 15√2

Multiple Choice

Given x > 0 and y > 0, simplify the following:

$$\sqrt{45x^4y^7}$$  

• $$3x^2y^3\sqrt{5}$$  

• $$9x^2y^3\sqrt{5y}$$  

• $$3x^2y^3\sqrt{5y}$$  

•   $$3x^2\left|y^3\right|\sqrt{5y}$$  

Multiple Choice

Simplify: 2√7 + √28

• 7√4
• 4√14
• 4√7
• 9√7

Multiple Choice

• -5√1
• 8√2 + 13√3
• 21√5
• 20√5

Multiple Choice

Rationalize the ratio 6 ⁄ √5

• 30 ∕ 5
• 6√5 ∕ 5
• 6√5
• 30

Multiple Choice

Simplify.

Multiple Choice

Simplify.

Multiple Choice

Simplify

• (-10+6i)/17
• (-8+15i)/17
• (-23+36i)/25
• (-21+33i)/34

Multiple Choice

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Multiple Choice

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Multiple Choice

Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Multiple Choice

What is the range of this graph?

• $$\left[-1,\ \infty\right)$$  

• $$\left(-\infty,\ -1\right]$$  

• $$\left[0,\ \infty\right)$$  

• $$\left(-\infty,\ 0\right]$$  

Multiple Choice

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

Multiple Choice

Simplify 

• A.(x+7)/(x-4)
• B.-3/4
• C.(x+3)/(x+4)
• D.(x+3)/(x-4)

Multiple Choice

• a
• b
• c
• d

Multiple Choice

• $$-p+8;\ p\ \ne-4$$

• $$p-8,\ p\ne-4$$

• $$-p-8;\ p\ne4$$

• $$p+8;\ p\ne4$$

Multiple Choice

• A.
• B.
• C.
• D.

Multiple Choice

• a
• b
• c
• d

Multiple Choice

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is something left in the denominator
• the value of f(0)
• a factor in the denominator cancels with a factor in the numerator

Multiple Choice

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

Multiple Choice

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1
• 3
• 1
• -3

Multiple Choice

The horizontal asymptote equals zero when:

• the exponents in the numerator and denominator are equal
• the exponents in the denominator are greater than the numerator
• the exponents in the numerator are greater than the denominator
• the numerator equals zero

Multiple Choice

Question 4

• x = 2
• x = 4
• x = 7
• x = 9

Multiple Choice

Question 9

• No solutions
• 2
• 1
• -4

Multiple Choice

Question 11. Solve for x

• A
• B
• C
• D

Multiple Choice

• 10
• -10
• 10i
• -10i

Multiple Choice

What is the complex conjugate of  4-3i?

• A.  1/(4-3i)
• B. 1/(4+3i)
• C.  -4 + 3i
• D.  4 + 3i

Multiple Choice

Solve
3x² - 5 = -446

• ±√-147
• 7i√3
• ±7i√3
• -7√3

Multiple Choice

(5-2i) + (-7+8i)

• -2+6i
• 12+6i
• -35-16i²
• -35 -16i

Multiple Choice

Multiply: 
(4 – 3i)(-7 – 2i)

• A.  -23 + 13i
• B.  -23 - 29i
• C.  -34 + 13i
• D.  -34 - 29i

Multiple Choice

Simplify
(-6 - 2i)²

• 32
• 36-4i
• 36+24i
• 32+24i

Multiple Choice

$$i^6$$  

• 1

• -1

• i

• -i

Multiple Choice

$$i^{31}$$

• 1

• -1

• $$i$$  

• $$-i$$  

Multiple Choice

Solve!

• x = 2
• x = 6
• x = 4
• x = 8

Multiple Choice

What is the least common multiple of  x²-16 and x²+4x-32?

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

Multiple Choice

Solve the equation for x.

• 7
• 6
• 14
• 0

Multiple Choice

Solve for x

• 1/3

• -5.5

• 5.5

• 2.5

Multiple Choice

Between which two whole numbers is the 
√54 ?

• 5 and 6
• 10 and 2
• 7 and 8
• 3 and 4

Multiple Choice

Which is equivalent to ∛375 in simplest form?

• 3∛5

• 5∛25

• 3∛125

• 5∛3