Coll. Alg. Ch. A 1st Sem. Rev. 2020

Front

Evaluate: 2^x = 64. What is x?

Back

x = 6, because 2^6 = 64.

Front

Simplify: -2 | 3 - 12 |

Back

-18.

Front

Assume all of the variables are positive. Simplify: 2x^3y^3√(20x)

Back

4x^3y^3√(5x).

Front

Express the following in Interval Notation: -9 < x ≤ -4

Back

(-9, -4].

Front

Simplify: 2√(8p^2q^3r)

Back

4pq√(2qr).

Front

What is the definition of an interval in mathematics?

Back

An interval is a set of real numbers that contains all numbers between any two numbers in the set.

Front

Define the term 'absolute value'.

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

Simplify: (x^2 - 1)/(x - 1)

Back

x + 1, for x ≠ 1.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot.