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Unit Test Answers | LAUSD-Algebra II A Prescriptive - Summer | Revolt

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Answers LAUSD-Algebra II A Prescriptive - SummerPerforming Operations with Complex Numbers

Unit Test Answers

0 verified answers

What is the greatest possible integer value of x for which is an imaginary number?

Question illustration

A

3

B

4

C

5

D

6

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

A

y = 3 (x minus seven-halves) squared minus StartFraction 27 Over 4 EndFraction

Option A

B

y = 2 (x minus 1) squared minus 11

Option B

C

y = 2 (x minus one-half) squared minus StartFraction 53 Over 4 EndFraction

Option C

D

y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction

Option D

Which could be the function graphed below?

Question illustration

A

f (x) = StartRoot x minus 5 EndRoot + 1

Option A

B

f (x) = StartRoot x minus 2 EndRoot

Option B

C

f (x) = StartRoot x EndRoot

Option C

D

f (x ) = StartRoot x + 4 EndRoot

Option D

Solve for in the equation .

Question illustration

A

x = 3 plus-or-minus StartRoot 23 EndRoot

Option A

B

x = 3 plus-or-minus StartRoot 51 EndRoot

Option B

C

x = 3 plus-or-minus StartRoot 41 EndRoot

Option C

D

x = 3 plus-or-minus StartRoot 5 EndRoot

Option D

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

A

m greater-than negative StartFraction 25 Over 8 EndFraction

Option A

B

m less-than negative StartFraction 25 Over 8 EndFraction

Option B

C

m less-than StartFraction 25 Over 8 EndFraction

Option C

D

m greater-than StartFraction 25 Over 8 EndFraction

Option D

Which point shows the location of 5 – 2i on the complex plane below?

Question illustration

A

point A

B

point B

C

point C

D

point D

Which equation is the inverse of y = x2 – 36?

A

y = plus-or-minus StartRoot x EndRoot + 6

Option A

B

y = plus-or-minus StartRoot x + 36 EndRoot

Option B

C

y = plus-or-minus StartRoot x EndRoot + 36

Option C

D

y = plus-or-minus StartRoot x squared + 36 EndRoot

Option D

What is the value of i 97 – i?

A

–i

B

0

C

–2i

D

i Superscript 96

Option D

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

A

0

B

9

C

12

D

16

Which property of multiplication is shown below? If x = 3 + 4i and y = 5 + 6i, x × y = y × x.

A

commutative property

B

identity property

C

distributive property

D

associative property

Which expression is equivalent to (3 + 5i)2?

A

–16 + 30i

B

6 + 34i

C

–16 – 34i

D

16 + 30i

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?

A

The complex numbers have equal imaginary coefficients.

B

The complex numbers have equal real numbers.

C

The complex numbers have opposite imaginary coefficients.

D

The complex numbers have opposite real numbers.

Solve for in the equation .

Question illustration

A

x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction

Option A

B

x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction

Option B

C

x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Option C

D

x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Option D

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

A

x = or x = 2

Option A

B

x = –2 or x =

Option B

C

x = or x = 1

Option C

D

x = 1 or x =

Option D

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

A

There are two complex roots.

B

There are two real roots.

C

There is one real root.

D

There is one complex root.

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