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Quadratic Inequalities — Quiz Answers

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1
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The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in. squared Which inequality can be used to find the possible lengths, x , of the base of the triangle?

A
1 half x open paren x plus 4 close paren is greater than or equal to 168
B
x times open paren x plus 2 close paren is less than or equal to 168
C
x times open paren x plus 2 close paren is greater than or equal to 168
D
1 half x open paren x plus 4 close paren is less than or equal to 168
2
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What is the solution set to the inequality 5 open paren x minus 2 close paren open paren x plus 4 close paren is greater than 0 ?

A
start set x such that x is greater than negative 4 and x comma negative 4 and x is less than 2 end set
B
start set x such that x is less than negative 2 or x comma negative 2 or x is greater than 4 end set
C
start set x such that x is less than negative 4 or x comma negative 4 or x is greater than 2 end set
D
start set x such that x is greater than negative 2 or x comma negative 2 or x is less than 4 end set
3

Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h is equal to negative 16 t squared plus 729 , where t is the time in seconds, for which interval of time is he less than 104 feet above the ground?

A
t is greater than 6 point 2 5
B
0 is less than or equal to t comma t is less than or equal to 6 point 2 5
C
negative 6 point 2 5 is less than t comma t is less than 6 point 2 5
D
t is less than 6 point 2 5
4

What are the solutions to the inequality open paren x minus 3 close paren times open paren x plus 5 close paren is less than or equal to 0 ?

A
start set x such that 3 is less than or equal to x comma x is less than or equal to 5 end set
B
start set x such that negative 5 is less than or equal to x comma x is less than or equal to negative 3 end set
C
start set x such that negative 3 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 5 is less than or equal to x comma x is less than or equal to 3 end set
5

What is the solution set of the quadratic inequality 4 times open paren x plus 2 close paren squared is less than or equal to 0 ?

A
varnothing
B
start set x such that x is in the real numbers end set
C
start set x such that x is equal to 2 end set
D
start set x such that x is equal to negative 2 end set
7

Tim throws a stick straight up in the air from the ground. The function h is equal to negative 16 t squared plus 48 t models the height, h , in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

A
negative 16 t squared plus 48 t is less than or equal to 8
B
negative 16 t squared plus 48 t is greater than 8
C
negative 16 t squared plus 48 t is less than 8
D
negative 16 t squared plus 48 t is greater than or equal to 8
8

What is the solution set to the inequality open paren 4 x minus 3 close paren times open paren 2 x minus 1 close paren is greater than or equal to 0 ?

A
start set x such that x is less than or equal to 3 or x comma 3 or x is greater than or equal to 1 end set
B
start set x such that x is less than or equal to 1 half or x comma 1 half or x is greater than or equal to 3 fourths end set
C
start set x such that x is less than or equal to negative 1 half or x comma negative 1 half or x is greater than or equal to negative 3 fourths end set
D
start set x such that x is less than or equal to 2 or x comma 2 or x is greater than or equal to 4 thirds end set
9

What is the solution set of the quadratic inequality 6 x squared plus 1 is less than or equal to 0 ?

A
varnothing
B
start set x such that x is in the real numbers end set
C
start set x such that x is equal to negative 1 sixth end set
D
start set x such that x is equal to 1 sixth end set
10

An object is dropped from a small plane. As the object falls, its distance, d , above the ground after t seconds, is given by the formula d is equal to negative 16 t squared plus 1 comma 000 Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?

A
negative 16 t squared plus 1 comma 000 is less than 300
B
negative 16 t squared plus 1 comma 000 is less than or equal to 300
C
negative 16 t squared plus 1 comma 000 is greater than or equal to 300
D
negative 16 t squared plus 1 comma 000 is greater than 300

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