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Accuplacer Math College Exam/ Grade A+ Answers

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Accuplacer Math College Exam. What is 2^(5/2) - 2^(3/2) Correct Answer: ** 2√2 ** 2^(5-2) can be broken into: 2^4/2 == 2^2 == 4 so 4 2^1/2 or 4√2 2^3/2 can be broken into: 2^1 == 2 2^1/2 == √2 so 2√2 4√2 - 2√2 = 2√2 What is 5! Correct Answer: 5 * 4 * 3 * 2 * 1 What is (2^4) * (2^5) Correct Answer: 2^9 How do you calculate the determinant of a matrix Correct Answer: Imagine a 2x2 cube, where top left = a top right = b bottom left = c bottom right = d Determinant == (a/c) - (b/d) What is the conversion of log3(27) = Y Correct Answer: 3^y = 27 What is the conversion of 4^x = 16 Correct Answer: log4(16) = x What is 2√10 * 2√3 Correct Answer: 4√30 Factor (2x^5)-(2x^4)-(40x^3) Correct Answer: (2x^3)(x^2-x-20) How do you determine if 2 lines are parallel? Correct Answer: Convert to y=mx+b If both x's are the same, it is parallel What is the slope of a line that crosses (5,6) and has a y-int of (0,2) Correct Answer: 4/5 James has $10,000. He puts some of his money in a savings account that yields 1% annually. He invests the rest in bonds that yield 5% annually. If after one year, James earns a total of $400 from both the savings and bond investment, how much money did he put in his savings account? Correct Answer: * 7500 * So, you know the interest is .01 on the saving and .05 on the bonds, profit is set to 400, so : 400 = .01S + .05B You also know that S + B = 10,000, so:

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Accuplacer Math College Exam.
What is 2^(5/2) - 2^(3/2) Correct Answer: ** 2√2 **

2^(5-2) can be broken into:
2^4/2 == 2^2 == 4
so 4 2^1/2
or 4√2

2^3/2 can be broken into:
2^1 == 2
2^1/2 == √2
so 2√2

4√2 - 2√2 = 2√2

What is 5! Correct Answer: 5 * 4 * 3 * 2 * 1

What is (2^4) * (2^5) Correct Answer: 2^9

How do you calculate the determinant of a matrix Correct Answer: Imagine a 2x2 cube, where
top left = a
top right = b
bottom left = c
bottom right = d

Determinant == (a/c) - (b/d)

What is the conversion of log\3\(27) = Y Correct Answer: 3^y = 27

What is the conversion of 4^x = 16 Correct Answer: log\4\(16) = x

What is 2√10 * 2√3 Correct Answer: 4√30

Factor (2x^5)-(2x^4)-(40x^3) Correct Answer: (2x^3)(x^2-x-20)

How do you determine if 2 lines are parallel? Correct Answer: Convert to y=mx+b
If both x's are the same, it is parallel

What is the slope of a line that crosses (5,6) and has a y-int of (0,2) Correct Answer: 4/5

James has $10,000. He puts some of his money in a savings account that yields 1% annually. He invests
the rest in bonds that yield 5% annually. If after one year, James earns a total of $400 from both the
savings and bond investment, how much money did he put in his savings account? Correct Answer: *
7500 *

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