Unit 5 mixed practice

Front

What is the difference of the expressions (3 - 2x + 2x^2) and (4x - 5 + 3x^2)?

Back

The difference is -x^2 - 6x + 8.

Front

How do you simplify the expression √4√30?

Back

The simplified form is 2√30.

Front

What is the product of (2x + 3)^2?

Back

The product is 4x^2 + 12x + 9.

Front

Is the product -2√3 * 2√4 rational or irrational?

Back

The product is irrational.

Front

Is the expression π + 12 a rational or irrational number?

Back

The expression is an irrational number.

Front

What is the formula for the difference of squares?

Back

The formula is a^2 - b^2 = (a - b)(a + b).

Front

What is the quadratic formula used to solve ax^2 + bx + c = 0?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0.

Front

What is the definition of an irrational number?

Back

An irrational number cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

What is the result of simplifying the expression 4√30?

Back

The expression is already in its simplest form as 4√30.