AnswersAlgebra IIModel and Reason with Equations and Inequalities: Part Two

Practice Test Answers

10 verified answers
1
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What is the solution set of the quadratic inequality f of x is less than or equal to 0 ?

A
varnothing
B
start set x such that x is equal to negative 5 end set
C
start set x such that x is in the real numbers end set
D
start set x such that x is equal to 5 end set
2
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What are the roots of the polynomial equation x cubed minus 6 x is equal to 3 x squared minus 8 ? Use a graphing calculator and a system of equations.

A
negative 4 , negative 1 , 2
B
negative 5 , 4 , 40
C
negative 40 , negative 4 , 5
D
negative 2 , 1 , 4
3

Which graph represents the solution set for the quadratic inequality x squared plus 2 x plus 1 is greater than 0 ?

A
Image with description A number line, labeled x, is marked with integers from negative 5 to 5. A closed circle is at negative 1, and a thick line extends from this point to the left, with an arrow indicating it continues indefinitely.
B
Image with description A number line, labeled x, is marked with integers from negative 5 to 5. An open circle is at 1, and a thick line extends from this point to the right, with an arrow indicating it continues indefinitely.
C
Image with description A number line, labeled x, is marked with integers from negative 5 to 5. An open circle is at negative 1, and a thick line extends indefinitely in both directions with arrows at each end.
D
Image with description A number line, labeled x, is marked with integers from negative 5 to 5. A closed circle is at negative 1, and a thick line extends from this point to the right, with an arrow indicating it continues indefinitely.
4

What is the solution to the equation the fraction with numerator m and denominator m plus 4 plus the fraction with numerator 4 and denominator 4 minus m is equal to the fraction with numerator m squared and denominator m squared minus 16 ?

A
m is equal to 4
B
m is equal to negative 2
C
m is equal to 2
D
m is equal to negative 4
5

Which solution to the equation the fraction with numerator 3 and denominator A plus 2 plus 2 over A is equal to the fraction with numerator 4 A minus 4 and denominator A squared minus 4 is extraneous?

A
neither A is equal to negative 2 nor A is equal to 4
B
A is equal to negative 2
C
A is equal to negative 2 and A is equal to 4
D
A is equal to 4
6

Which inequality is equivalent to 3 plus 4 over x is greater than or equal to the fraction with numerator x plus 2 and denominator x ?

A
the fraction with numerator negative x plus 9 and denominator x is greater than or equal to 0
B
the fraction with numerator 2 x plus 6 and denominator x is greater than or equal to 0
C
the fraction with numerator negative x plus 5 and denominator x is greater than or equal to 0
D
the fraction with numerator 2 x plus 2 and denominator x is greater than or equal to 0
7

What is the solution of square root of x minus 4 end root plus 5 is equal to 2 ?

A
x is equal to negative 17
B
x is equal to 13
C
x is equal to 53
D
no solution
8

What are the roots of the polynomial equation x to the 4th power plus x cubed is equal to 4 x squared plus 4 x ? Use a graphing calculator and a system of equations.

A
negative 1 , 0
B
negative 2 , 0 , 1 , 2
C
0 , 1
D
negative 2 , negative 1 , 0 , 2
9

Which graph shows the solution set of the fraction with numerator x squared plus 9 x plus 20 and denominator x squared minus x minus 20 is greater than or equal to 0 ?

A
Image with description A number line from negative 5 to 6. An open circle is at negative 4 with a ray pointing left. An open circle is at 5 with a ray pointing right.
B
Image with description A number line from negative 5 to 6. A segment connects a closed circle at negative 5 to an open circle at negative 4. A segment connects an open circle at negative 4 to an open circle at 5.
C
Image with description A number line from negative 5 to 6. An open circle is at negative 5 with a ray pointing left. An open circle is at 5 with a ray pointing right.
D
Image with description A number line with a horizontal axis labeled x with tick marks from negative 5 to 6. A line starts at a solid circle at negative 5 and extends to the left with an arrowhead. Another line starts at an open circle at 5 and extends to the right with an arrowhead.
10

What is the solution of 4 plus square root of 5 x plus 66 end root is equal to x plus 10 ?

A
x is equal to negative 10
B
x is equal to 3
C
x is equal to negative 10 or x is equal to 3
D
no solution

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