Numbers and Algebra Review

The difference between an integer and a natural number is that natural numbers are 0 and the ________ integers.

Irrational numbers cannot be written as a ________ of integers.

Which of the following are irrational?

• √3/7

• √4

• -4

• 3.14

Which of the following are irrational?

• 45.12549876342...

• 6/√81

• 91e/e

• 537.01

Find all possible values of x in |x|=123456.

• x = -123456

• x = 123456

• x = 123456 or x = -123456
• no solution

Find all possible values of x in |x - 5| = 10.

• x = 15

• x = -5

• x = 15 or x = -5

• no solution

Find all possible values of x in |-56789| = x.

• no solution

• x = -56789 or x = 56789

• 56789

• -56789

Which of the following numbers is a rational number?

• √2

• 1/3

• π

• √5

Find all possible values of x in |2x + 3| + 26 = 7.

• x = 2
• no solution

• x = -10
• x = 0

Rational numbers can be expressed as fractions where both the numerator and denominator are ________.