AnswersAlgebra IIModel and Reason with Equations and Inequalities: Part Two

Model and Reason with Equations and Inequalities: Part Two — Test Answers

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What is the solution of the fraction with numerator x plus 4 and denominator 2 x minus 1 is less than 0 ?

A
negative 4 is less than or equal to x comma x is less than 1 half
B
negative 4 is less than x comma x is less than 1 half
C
negative 4 is less than or equal to x comma x is less than or equal to 1 half
D
negative 4 is less than x comma x is less than or equal to 1 half
7

What is the solution set of x over 4 is less than or equal to 9 over x ?

A
Image with description A number line from negative 7 to 7. An open circle is at negative 6 with a ray pointing left. A segment connects an open circle at 0 to an open circle at 6.
B
Image with description A number line from negative 7 to 7. A segment connects a closed circle at negative 6 to an open circle at 0. A closed circle is at 6 with a ray pointing right.
C
Image with description A number line from negative 7 to 7. A segment connects an open circle at negative 6 to an open circle at 0. An open circle is at 6 with a ray pointing right.
D
Image with description A number line from negative 7 to 7. A closed circle is at negative 6 with a ray pointing left. A segment connects an open circle at 0 to a closed circle at 6.
8

What is the solution of the fraction with numerator 3 x plus 8 and denominator x minus 4 is greater than or equal to 0 ?

A
x is less than negative 8 thirds or x is greater than 4
B
x is less than or equal to negative 8 thirds or x is greater than 4
C
negative 8 thirds is less than x comma x is less than 4
D
negative 8 thirds is less than or equal to x comma x is less than 4
10

What is the solution set of the quadratic inequality x squared minus 5 is less than or equal to 0 ?

A
start set x such that negative 5 is less than or equal to x comma x is less than or equal to square root of 5 end set
B
start set x such that negative square root of 5 is less than or equal to x comma x is less than or equal to square root of 5 end set
C
start set x such that negative 5 is less than or equal to x comma x is less than or equal to 5 end set
D
start set x such that negative square root of 5 is less than or equal to x comma x is less than or equal to 5 end set
14

What is the solution of square root of x plus 12 end root is equal to x ?

A
x is equal to negative 3
B
x is equal to 4
C
x is equal to negative 3 or x is equal to 4
D
no solution
15

What is the solution of square root of x plus 2 end root minus 15 is equal to negative 3 ?

A
x is equal to 142
B
x is equal to 232
C
x is equal to 322
D
no solution
17

Which of the following represents the solution of 3 halves is equal to 3 over 2 x minus 6 over 5 x ?

A
x is equal to 1 fifth
B
x is equal to 5 ninths
C
all real numbers
D
no solution
20

What is the solution of the fraction with numerator x squared plus x minus 6 and denominator x minus 7 is less than or equal to 0 ?

A
negative 3 is less than or equal to x comma x is less than or equal to 2 or x is greater than 7
B
x is less than or equal to negative 3 or 2 is less than or equal to x comma x is less than 7
C
negative 3 is less than x comma x is less than 2 or x is greater than 7
D
x is less than negative 3 or 2 is less than x comma x is less than 7

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