Real and Complex Numbers: Algebra 2 Math Quiz – PDF Download
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!
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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.
