AnswersAlgebra 2Quadratics and Complex Numbers

Practice Test Answers

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Which quadratic inequality in vertex form represents the relationship in the graph?

A
y is greater than or equal to negative 2 times open paren x plus 4 close paren squared plus 28
B
y is greater than open paren x minus 4 close paren squared plus 28
C
y is greater than open paren x plus 4 close paren squared plus 28
D
y is greater than or equal to 2 ninths times open paren x minus 4 close paren squared plus 28
3

Which equation is y is equal to negative 6 x squared plus 3 x plus 2 rewritten in vertex form?

A
y is equal to negative 6 times open paren x minus 1 half close paren squared plus 7 halves
B
y is equal to negative 6 times open paren x minus 1 fourth close paren squared plus 19 eighths
C
y is equal to negative 6 times open paren x plus 1 fourth close paren squared plus 13 eighths
D
y is equal to negative 6 times open paren x minus 1 close paren squared plus 8
4

What are the values of x in the equation x squared minus 6 x plus 9 is equal to 25 ?

A
x is equal to negative 1 or x is equal to negative 11
B
x is equal to 1 or x is equal to 11
C
x is equal to negative 2 or x is equal to 8
D
x is equal to 2 or x is equal to negative 8
5

If the discriminant of a quadratic equation is 4, which statement describes the roots?

A
There is one complex root.
B
There are two real roots.
C
There is one real root.
D
There are two complex roots.
7

Louis used a quadratic equation to model the height, y , of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

A
open paren 6 comma 0 close paren
B
open paren negative 4 comma 1 close paren
C
open paren 9 fourths comma 24 close paren
D
open paren 5 comma 3 halves close paren
8

Which equation is y is equal to 3 times open paren x minus 2 close paren squared minus open paren x minus 5 close paren squared rewritten in vertex form?

A
y is equal to 2 times open paren x minus 1 half close paren squared minus 53 fourths
B
y is equal to 2 times open paren x minus 1 half close paren squared minus 27 halves
C
y is equal to 3 times open paren x minus 7 halves close paren squared minus 27 fourths
D
y is equal to 2 times open paren x minus 1 close paren squared minus 11
9

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y , of the rectangular garden that she creates if one side is x feet long? cap A is equal to l w

A
y is equal to open paren 60 minus x close paren times open paren 60 plus x close paren
B
y is equal to open paren 120 minus x close paren times x
C
y is equal to open paren 120 minus x close paren times open paren 120 plus x close paren
D
y is equal to open paren 60 minus x close paren times x
12

Which expression is equivalent to open paren 3 plus 5 i close paren squared ?

A
negative 16 plus 30 i
B
16 plus 30 i
C
6 plus 34 i
D
negative 16 minus 34 i
13

Using the quadratic formula to solve 11 x squared minus 4 x is equal to 1 , what are the values of x ?

A
2 over 11 plus or minus the fraction with numerator 2 square root of 15 and denominator 11
B
2 over 11 plus or minus the fraction with numerator square root of 15 and denominator 11
C
2 over 11 plus or minus the fraction with numerator square root of 7 i and denominator 11
D
2 over 11 plus or minus the fraction with numerator square root of 7 and denominator 11
14

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

A
start set x such that x is in the real numbers end set
B
start set x such that x is equal to 5 end set
C
varnothing
D
start set x such that x is equal to negative 5 end set
15

Which quadratic inequality in standard form represents the relationship in the graph?

A
y is less than 3 x squared minus 36 x plus 96
B
y is less than or equal to negative 3 x squared plus 36 x minus 96
C
y is less than or equal to 3 x squared minus 36 x plus 96
D
y is less than negative 3 x squared plus 36 x minus 96
16

Which quadratic inequality does the given graph represent?

A
y is less than or equal to x squared plus 3
B
y is less than or equal to x squared minus 3
C
y is greater than or equal to x squared minus 3
D
y is greater than or equal to x squared plus 3

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