Algebra II Final Exam Practice Quiz 3

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| By Mathmissk

Mathmissk

Community Contributor

Quizzes Created: 3 | Total Attempts: 6,509

Questions: 10 | Attempts: 105 | Updated: Dec 11, 2023

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Algebra II Final Exam Practice Quiz 3 - Quiz

Third Practice Quiz for Honors and Track 1 Algebra 2.
Good Luck!

Questions and Answers

1.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C
2.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
B. B
3.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
4.

A fair coin is thrown in the air six times. If the coin lands with the head up on the first five tosses, what is the probability that the coin will land with the head up on the sixth toss?
- A.
  
  0
- B.
  
  1/16
- C.
  
  1/8
- D.
  
  1/2
Correct Answer
D. 1/2

Explanation
The events are independent. They have no bearing on each other. The probability is 1 out of 2 or 1/2.

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5.

Two cards are drawn at random from a standard deck of 52 without replacement. What is the probability of drawing a 3 and a queen in that order?
- A.
  
  4/51
- B.
  
  4/52
- C.
  
  4/256
- D.
  
  4/663
Correct Answer
D. 4/663

Explanation
The probability of Event 1 AND Event 2 happening in sequence is P(E1) * P(E2)
4/52 * 4/51
1/13 * 4/51 = 4/663

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6.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
B. B

Explanation
We need G(x) first. G(-3) = (-3)^2 = 9.
f(g(x)) =f(9) = 5(9)-6= 45-6 = 39

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7.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
C. C

Explanation
Just test the answers by substituting them into the equation OR solve using the cross-product property (cross-multiply).

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8.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
B. B

Explanation
We are SUBTRACTING the functions. Do not forget to distribute the subtraction to every term in G(x).

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9.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
B. B

Explanation
Notice the pattern...
Alternate signs and multiply by 4.
Find the 8th one!

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10.

Find the 12th term of the sequence 8, 13, 18, 23....A. 73B. 68C. 78D. 63
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A

Explanation
Find the pattern. (Add 5). Start listing them!

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Current Version
Dec 11, 2023

Quiz Edited by
ProProfs Editorial Team
Jun 13, 2010

Quiz Created by
Mathmissk

Algebra II Final Exam Practice Quiz 3

A fair coin is thrown in the air six times. If the coin lands with the head up on the first five tosses, what is the probability that the coin will land with the head up on the sixth toss?

Two cards are drawn at random from a standard deck of 52 without replacement. What is the probability of drawing a 3 and a queen in that order?

Find the 12th term of the sequence 8, 13, 18, 23....A. 73B. 68C. 78D. 63