This algebra 2 real complex numbers quiz asks 10 multiple-choice questions on real and complex numbers, and each answer comes with a short explanation.
Ten multiple-choice questions on real and complex numbers: reading the complex plane, square roots of negative numbers, adding and multiplying a + bi, and powers of i. Pick the single best answer, then read the explanation to learn the common mistake.
Which complex number is plotted?A point in the complex plane.
A\(-3+4i\)
B\(3-4i\)
C\(4-3i\)
D\(3+4i\)
Question 2
What is \(\sqrt{-36}\)?
A\(-6i\)
B\(6\)
C\(6i\)
D\(-6\)
Question 3
Which number is irrational?
A\(\sqrt{49}\)
B\(\sqrt{18}\)
C\(\frac{22}{7}\)
D\(-0.75\)
Question 4
The arrows show \(3+2i\) and \(-1+6i\). What is their sum?The two arrows.
A\(4+8i\)
B\(2+4i\)
C\(2+8i\)
D\(2-8i\)
Question 5
What is \((2+i)(3-4i)\)?
A\(6-5i\)
B\(2-5i\)
C\(10+5i\)
D\(10-5i\)
Question 6
What is \(i^{23}\)?
A\(i\)
B\(-1\)
C\(-i\)
D\(1\)
Question 7
Use the cycle to simplify \(i^{50}\).The cycle of powers of i.
A\(-1\)
B\(1\)
C\(i\)
D\(-i\)
Question 8
What are the real part and the imaginary part of \(7-4i\)?
AReal part \(-4\), imaginary part 7
BReal part 7, imaginary part \(-4\)
CReal part 7, imaginary part 4
DReal part 7, imaginary part \(-4i\)
Question 9
What is \((5+3i)(5-3i)\)?
A\(16\)
B\(25\)
C\(34i\)
D\(34\)
Question 10
Region A holds the natural numbers, B the integers, C the rational numbers and D the irrational numbers. In which region is the smallest set containing \(- rac{7}{3}\)?Regions A, B, C and D.
ARegion C
BRegion A
CRegion B
DRegion D
🎉 Quiz complete!
0 / 10
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
A complex number is a + bi with real a and b, and i² = −1.
Every real number is a complex number with b = 0.
Add or subtract real parts and imaginary parts separately.
To multiply, distribute and then replace i² by −1.
The powers of i cycle through i, −1, −i, 1 every four exponents.
How to use this algebra 2 real complex numbers quiz
Retake this algebra 2 real complex numbers quiz until every answer is right, then move on to the worksheet and the test.
