5.1-5.3 Quiz: Solving Quadratics & Complex Numbers

Authored by Jennifer Cicenia

Mathematics

9th - 12th Grade

CCSS covered

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5.1-5.3 Quiz: Solving Quadratics & Complex Numbers

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12 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation has -7 as its only answer?

$0=x\left(x-7\right)$

$0=\left(x-7\right)^2$

$0=\left(x+1\right)\left(x+7\right)$

$0=\left(x+7\right)^2$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution to $3x^2=33$ ?

$\pm\sqrt[]{3}$

$\pm\sqrt[]{11}$

121

Tags

CCSS.8.EE.A.2

MATCH QUESTION

1 min • 1 pt

Classify the following numbers.

Rational Number

$\sqrt[]{7}$

Irrational Number

$\sqrt[]{-7}$

Complex Number

$3+\frac{2}{3}i$

Imaginary Number

$-9.\overline{6}$

DRAG AND DROP QUESTION

1 min • 1 pt

$i^{2003}$ equals (a)

-i

-1

Tags

CCSS.HSF-IF.C.8B

FILL IN THE BLANKS QUESTION

1 min • 1 pt

The complex conjugate of $-2+i$ is

(a)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $\sqrt[]{-225}$ .

$15i$

$-15i$

$i\sqrt[]{15}$

$-i\sqrt[]{15}$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following equations has solutions of $\pm6i$

$-\frac{1}{6}x^2=6$

$x^2-30=6$

$\frac{1}{4}x^2=9$

$20-x^2=-16$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

DRAG AND DROP QUESTION

1 min • 1 pt

The sum of any complex number $a+bi$ and its conjugate (a) is a real number.

always

sometimes

never

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which expression is equivalent to $\left(2-5i\right)-\left(2+5i\right)$ ?

$10i$

$4+10i$

$-10i$

$4-10i$

Tags

CCSS.HSA.APR.A.1

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which expression is equivalent to $\left(-5+3i\right)^2$

$16$

$16-30i$

$34-30i$

$34$

Tags

CCSS.7.EE.A.1

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5.1-5.3 Quiz: Solving Quadratics & Complex Numbers

Which equation has -7 as its only answer?

What is the solution to 3x2=333x^2=333x2=33 ?

Classify the following numbers.

i2003i^{2003}i2003 equals ​ (a)

The complex conjugate of −2+i-2+i−2+i is (a)

Simplify −225\sqrt[]{-225}−225​ .

Which of the following equations has solutions of ±6i\pm6i±6i

The sum of any complex number a+bia+bia+bi and its conjugate ​ (a) is a real number.

Which expression is equivalent to (2−5i)−(2+5i)\left(2-5i\right)-\left(2+5i\right)(2−5i)−(2+5i) ?

Which expression is equivalent to (−5+3i)2\left(-5+3i\right)^2(−5+3i)2

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What is the solution to $3x^2=33$ ?

$i^{2003}$ equals (a)

The complex conjugate of $-2+i$ is

(a)

Simplify $\sqrt[]{-225}$ .

Which of the following equations has solutions of $\pm6i$

The sum of any complex number $a+bi$ and its conjugate (a) is a real number.

Which expression is equivalent to $\left(2-5i\right)-\left(2+5i\right)$ ?

Which expression is equivalent to $\left(-5+3i\right)^2$