AnswersAlgebra IIQuadratics and Complex Numbers

Practice Test Answers

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1
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Which point shows the location of 5 minus 2 i on the complex plane?

A
point cap A
B
point cap d
C
point cap b
D
point cap c
2
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Dimitri is solving the equation x squared minus 10 x is equal to 21 Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

A
4
B
0
C
25
D
100
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

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 7 i and denominator 11
C
2 over 11 plus or minus the fraction with numerator square root of 15 and denominator 11
D
2 over 11 plus or minus the fraction with numerator square root of 7 and denominator 11
5

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 27 halves
B
y is equal to 3 times open paren x minus 7 halves close paren squared minus 27 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 53 fourths
6

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 4 plus 2 i close paren times open paren 3 minus 5 i close paren times 1
B
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
C
open paren 4 plus 2 i close paren is equal to open paren 2 i plus 4 close paren
D
open paren 4 plus 2 i close paren is equal to open paren 4 plus 2 i plus 0 close paren
7

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

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

What is the greatest possible integer value of x for which square root of x minus 5 end root is an imaginary number?

A
4
B
5
C
6
D
3
9

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 2 or x is equal to negative 8
B
x is equal to 1 or x is equal to 11
C
x is equal to negative 1 or x is equal to negative 11
D
x is equal to negative 2 or x is equal to 8
10

Which equation is the inverse of y is equal to 7 x squared minus 10 ?

A
y is equal to plus or minus square root of x over 7 plus 10 end root
B
y is equal to the fraction with numerator plus or minus square root of x plus 10 end root and denominator 7
C
y is equal to the fraction with numerator plus or minus square root of x and denominator 7 plus or minus the fraction with numerator square root of 10 and denominator 7
D
y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root
11

Which equation is the inverse of y is equal to x squared minus 36 ?

A
y is equal to plus or minus square root of x plus 36
B
y is equal to plus or minus square root of x plus 36 end root
C
y is equal to plus or minus square root of x squared plus 36 end root
D
y is equal to plus or minus square root of x plus 6
12

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.

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