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##### Algebra 2 (Time Limit: 40 minutes)

##### End of the Year Assessment

1. What is the expanded form of 3𝑥(𝑥 + 2)²

3𝑥³ +12𝑥

3𝑥³ +12𝑥²+12𝑥

12𝑥⁴+3𝑥³ +2𝑥²

12𝑥⁴+3𝑥³

2. If dividing the polynomial 𝑓(𝑥) by (𝑥 + 4) yields a remainder of -11, which of the following is true?

𝑓(−11) = 4

𝑓(−11) = −4

𝑓(−4) = −11

𝑓(4) = −11

3. What is the solution to √5𝑥 + 6 + 3 = 7

x=3/5

x=4/5

x=5/8

no solution

4. In a set of test scores that are normally distributed, a test score of 76 is 3 standard deviations below the mean. A score of 88 is 1 standard deviation above the mean. What is the mean of the data?

78

80

82

85

5. Which is equivalent to (2 − 5𝑖)(−2 + 5𝑖)

29

21

20-21i

21+20𝑖

6. What is the complex conjugate of √−400 + 17

17+21𝑖

17−20𝑖

17+20𝑖

17−17𝑖

7. The graph of which function has a period of 𝜋 and an amplitude of 𝜋

𝑦=1/2𝜋sin2𝑥

𝑦=𝜋sin𝑥

𝑦=2𝜋sin2𝑥

𝑦=𝜋sin2𝑥

8. Which degree measure is equivalent to 11𝜋/ 18?

110°

100°

11°

210°

9. Angle 𝜕 is in Quadrant IV, with cos 𝜕 =4/ 5. What is sin 𝜕?

-3/5

3/5

4/5

4/7

10. Which function has 𝑥 −intercepts of 2 and −5?

𝑓(𝑥)=𝑥²-3𝑥−10

𝑓(𝑥)=𝑥²+3𝑥−7

𝑓(𝑥)=𝑥²+3𝑥+10

𝑓(𝑥)=𝑥²+3𝑥−10

11. What are the real zeros of the function (𝑥) = 𝑥³ + 6𝑥² − 13𝑥 − 42 ?

7, 3, 1

−7, 3, 1

−7, 3, −2

−7, -3, −2

12. How does the graph of the function 𝑔(𝑥) = 𝑥³ + 1 compare to the parent function 𝑓(𝑥) = 𝑥³?

shifted left 1 unit

shifted right 1 unit

shifted down 1 unit

shifted up 1 unit

13. Suppose 𝑥𝑦 = 9 and (𝑥 + 𝑦)²= 21. What is 𝑥² + 𝑦² ?

3

7

4

12

14. Which function is the inverse of 𝑓(𝑥) = 1/2 𝑥 − 4?

1/2x+4

2x-4

1/2x-8

2x+8

15. Find the equation that pass through (–7, 7) and parallel to y = 2x – 3

y=2x+21

y=2x-4

y=2x+21

y=1/2x+21

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