PARCC Algebra Practice Test 2

Question 1

1. Simplify the expression (4^x + 2^2x) / (2^x)

Accepted Answer

2x+1</li>

Answer

6</li>

Answer

2+2x</li>

Answer

2x2x</li>

Question 2

2. Simplify the expression (2x²-5x-12)/(2x²-4x-16).

Accepted Answer

(2x+3)/2(x+2)

Answer

(x-6)/2(x-2)

Answer

(x-6)/2(x+2)

Answer

(2x+3)/2(x-2)

Question 3

3. Suppose that the function f(x) is a quadratic function with roots at x=2-3i and x=2+3i. Find f(x).

Accepted Answer

f(x)=x²-4x+13

Answer

f(x)=x²-4x-5

Answer

f(x)=x²-6ix-5

Answer

f(x)=x²-6ix+13

Question 4

4. Solve the inequality for x. Select all that apply.

³

²

Accepted Answer

x<-4</li>

Answer

-4<x<0</li>

Answer

x>3/2</li>

Question 5

5. A baseball is thrown up in the air from an initial height of 6 feet. Its height above the ground (in feet) t seconds after being thrown is given by the function h(t)=-16t^2+46t+6. How long will it take (in seconds) for the baseball to hit the ground?

Accepted Answer

4 seconds</li>

Answer

2 seconds</li>

Answer

5/2 seconds

Answer

3 seconds</li>

Question 6

6. Solve the equation for x. Select all that apply.

₂

²

Accepted Answer

x=4</li>

Answer

x=-8</li>

Answer

x=0</li>

Answer

x=8</li>

Question 7

7. Calculate the average rate of change of f between x=1 and x=4.

³

Accepted Answer

24</li>

Answer

6</li>

Answer

20/3</li>

Answer

72</li>

Question 8

8. Simplify the expression (x³-3x²+2x-6)/(x²-9).

Accepted Answer

(x²+2)/(x+3)

Answer

1</li>

Answer

(x-3)/(x+3)

Answer

(x²+2)/(x-3)

Question 9

9. Suppose that angle θ is in Quadrant I and cos θ = 12/13. Find tan θ.

Accepted Answer

tan θ = 5/12

Answer

tan θ = 1/13

Answer

tan θ = 13

Answer

tan θ = 12/5

Question 10

10. Which expression is equivalent to 6√x+10x?

Accepted Answer

2(3x^1/2+5x)

Answer

2(3x^-1+5x)

Answer

2x(3x^-1+5)

Answer

2x(3x^1/2+5)