AnswersAlgebra IIQuadratics and Complex Numbers

Practice Test Answers

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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 3 times open paren x minus 7 halves close paren squared minus 27 fourths
B
y is equal to 2 times open paren x minus 1 half close paren squared minus 53 fourths
C
y is equal to 2 times open paren x minus 1 close paren squared minus 11
D
y is equal to 2 times open paren x minus 1 half close paren squared minus 27 halves
2
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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 plus 1 fourth close paren squared plus 13 eighths
C
y is equal to negative 6 times open paren x minus 1 close paren squared plus 8
D
y is equal to negative 6 times open paren x minus 1 fourth close paren squared plus 19 eighths
3

Which expression is equivalent to open paren 4 plus 6 i close paren squared ?

A
16 minus 36 i
B
8 plus 12 i
C
20 plus 48 i
D
negative 20 plus 48 i
4

What is the vertex of the graph of y plus 2 x plus 3 is equal to negative open paren x plus 2 close paren squared plus 1 ?

A
open paren 3 comma negative 24 close paren
B
open paren negative 3 comma 3 close paren
C
open paren negative 3 comma negative 33 close paren
D
open paren 3 comma 21 close paren
5

Use the zero product property to find the solutions to the equation x squared minus x minus 6 is equal to 0

A
x is equal to 2 or x is equal to 3
B
x is equal to negative 3 or x is equal to 2
C
x is equal to negative 3 or x is equal to negative 2
D
x is equal to negative 2 or x is equal to 3
6

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

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

Which function is a quadratic function?

A
b times x is equal to negative 9 x to the 4th power
B
g of x is equal to 5 x cubed
C
f of x is equal to 2 x squared
D
k times x is equal to negative x
8

Use the zero product property to find the solutions to the equation x squared minus 9 is equal to 16

A
x is equal to negative 3 or x is equal to 3
B
x is equal to 7 or x is equal to 1
C
x is equal to negative 5 or x is equal to 5
D
x is equal to negative 6 or x is equal to negative 3
9

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 square root of 15 and denominator 11
B
2 over 11 plus or minus the fraction with numerator square root of 7 and denominator 11
C
2 over 11 plus or minus the fraction with numerator 2 square root of 15 and denominator 11
D
2 over 11 plus or minus the fraction with numerator square root of 7 i and denominator 11
10

Which equation is an example of the commutative property of multiplication?

A
open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren is equal to open paren 3 minus 5 i close paren times open paren 4 plus 2 i close paren
B
open paren 4 plus 2 i close paren is equal to open paren 2 i plus 4 close paren
C
open paren 4 plus 2 i close paren is equal to open paren 4 plus 2 i plus 0 close paren
D
open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren is equal to open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren times 1

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