Algebra II Final Exam Practice Quiz 3

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1.

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Algebra II Final Exam Practice Quiz 3 - Quiz


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

2. 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?

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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3.

Explanation

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4.

Explanation

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

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5.

Explanation

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6.

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.

Explanation

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

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8.

Explanation

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

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9. 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?

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

Explanation

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

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A fair coin is thrown in the air six times.  If the coin lands...
Two cards are drawn at random from a standard deck of 52 without...
Find the 12th term of the sequence 8, 13, 18, 23....A. 73B. 68C. 78D....
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