# Chapter 5 Extra Credit

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Test on 5-1 thru 5-4

• 1.

### Simplify (3x^0)^2(2x^4)

• A.

X^4

• B.

12x^4

• C.

18x^6

• D.

18x^4

D. 18x^4
Explanation
To simplify the given expression, we start by simplifying the exponent of the first term, which is 3x^0. Any number raised to the power of zero is equal to 1, so 3x^0 simplifies to 3.

Next, we square the simplified first term, which gives us 3^2 = 9.

Finally, we multiply the squared first term (9) with the second term (2x^4), which gives us 18x^4.

Therefore, the correct answer is 18x^4.

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• 2.

### Scientists have determined that the speed at which light travels is approxiamtely 300,000,000 meters per second.  Express this speed in scientific notation.

• A.

3 x 10^7 m/s

• B.

3 x 10^8 m/s

• C.

3 x 10^(-8) m/s

• D.

30 x 10^(-7) m/s

B. 3 x 10^8 m/s
Explanation
The speed of light is approximately 300,000,000 meters per second. In scientific notation, this can be expressed as 3 x 10^8 m/s.

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• 3.

### Simplify (5m - 9) + (4m + 2)

• A.

9m - 11

• B.

M - 11

• C.

9m - 7

• D.

20m^2 - 18

C. 9m - 7
Explanation
The given expression is (5m - 9) + (4m + 2). To simplify this expression, we can combine like terms. The like terms in this expression are the terms with the variable m. Adding the coefficients of these terms, we get 5m + 4m = 9m. Then, we add the constant terms -9 and 2, which gives us -7. Therefore, the simplified expression is 9m - 7.

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• 4.

### Simplify (x^2 - 2x - 35) / (x + 5)

• A.

X^2 - x - 30

• B.

X - 7

• C.

X + 5

• D.

X^3 + 3x^2

B. X - 7
Explanation
To simplify the expression (x^2 - 2x - 35) / (x + 5), we can factor the numerator as (x - 7)(x + 5). Then, we can cancel out the common factor of (x + 5) in the numerator and denominator, leaving us with the simplified expression x - 7.

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• 5.

### Factor m^2 + 9m + 14 completely.

• A.

M(m + 23)

• B.

(m + 14)(m + 1)

• C.

(m + 7)(M + 2)

• D.

M(m + 9) + 14

C. (m + 7)(M + 2)
Explanation
The given expression is a quadratic trinomial in the form of m^2 + 9m + 14. To factor it completely, we need to find two binomials whose product equals the given trinomial. By using the factoring method, we can determine that the correct factorization is (m + 7)(m + 2).

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• 6.
• A.

A

• B.

B

• C.

C

• D.

D

D. D
• 7.

### Simplify (t^2 + t -6) / (t^2 -7t + 10).  Assume that the denominator is not equal to sero.

• A.

(t + 3) / (t - 5)

• B.

(t - 2) / (t + 5)

• C.

(t - 3) / (t + 5)

• D.

(t + 3) / (t + 5)

A. (t + 3) / (t - 5)
Explanation
The given expression can be simplified by factoring the numerator and the denominator. The numerator can be factored as (t + 3)(t - 2), and the denominator can be factored as (t - 5)(t - 2). By canceling out the common factor of (t - 2), we are left with (t + 3)/(t - 5).

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• Current Version
• Jun 09, 2023
Quiz Edited by
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• Nov 21, 2008
Quiz Created by
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