jeopardy

exponents rules

100

Which expression is equivalent to (3²)⁴?

A) 3²

B) 3⁶

C) 3⁸

D) 3¹⁶

C) 3⁸

200

Which expression is equivalent to 4³4⁷?

A) 4²¹

B) 4⁴

C) 4¹⁰

D) 4⁶

C) 4¹⁰

300

Simplify: a¹²/a⁵a²

a⁵

400

Evaluate: 4⁰+2⁻²

A) 0

B) 1/4

C) 5/4

D) 2

C) 5/4

500

Simplify: (2a³b²)²⋅(ab⁻¹)

A) 4a⁷b³

B) 4a⁶b³

C) 4a⁷b²

D) 2a⁷b³

A) 4a⁷b³

square roots and cube roots

100

Between which two consecutive integers does √ 37 lie?

A) Between 5 and 6

B) Between 6 and 7

C) Between 7 and 8

D) Between 8 and 9

B) Between 6 and 7

200

Which value is closest to √ 50?

A) 7

B) 7.1

C) 7.5

D) 8

B) 7.1

300

The area of a square is 81 cm². What is the perimeter of the square?

A) 9 cm

B) 18 cm

C) 36 cm

D) 81 cm

 

C) 36 cm

400

(³√ 8)²+√ 144

16

500

Simplify: √ 64x⁴y²

A) 32x²y

B) 4x²y²

C) 8x⁴y²

D) 8x²y

D) 8x²y

rational and irrational numbers

100

Which of the following is an irrational number?

A) 3/4

B) 0.5

C) √ 2

D) −2

C) √ 2

200

Which statement is true?

A) All integers are irrational numbers.

B) All rational numbers can be written as a fraction.

C) √ 9 is an irrational number.

D) All square roots are irrational numbers.

B) All rational numbers can be written as a fraction.

300

What is the result of √ 3 +2?

A) A rational number

B) An irrational number

C) Cannot be determined

D) Equal to √ 5

B) An irrational number

400

What type of number is √ 2×√ 8?

A) Irrational

B) Rational

C) Cannot be determined

D) Undefined

B) Rational

500

A circle has a radius of 5 cm. The circumference is given by C=2πr=10π cm. Is the circumference a rational or irrational number?

A) Rational, because 10 is rational

B) Irrational, because π is irrational

C) Rational, because circumference is a measurable quantity

D) Cannot be determined without calculating the exact value

B) Irrational, because π is irrational