Rational Equations — Cumulative exam Answers

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21
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Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

A
x = –3 or x = –2
B
x = –3 or x = 2
C
x = –2 or x = 3
D
x = 2 or x = 3
22
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Which statement best describes the equation x5 + x3 – 14 = 0?

A
The equation is quadratic in form because it is a fifth-degree polynomial.
B
The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2.
C
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
D
The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the middle term.
23

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

A
14x – 8
B
14x + 4
C
4x – 8
D
4x + 4
25

What is the quotient in simplified form? Assume .

Question illustration
A
Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction
Option A
B
Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction
Option B
C
StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction
Option C
D
StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction
Option D

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