This video tutorial covers various math problems, including completing the square, solving systems of equations with absolute values, graphing and shading inequalities, calculating the area of a square with radicals, simplifying radicals with fractions, and converting between exponent and radical forms. Each problem is explained step-by-step to help students understand the concepts and techniques involved.

What is the first step in completing the square for the equation x^2 + 20x?

• Divide by 2

• Subtract 20 from both sides

• Add 100 to both sides

• Find half of the middle term

When solving systems of equations with absolute values, how many equations do you typically set up?

• Four

• Three

• Two

• One

In graphing inequalities, what type of line is used for 'greater than' or 'less than'?

• Dotted line

• Dashed line

• Solid line

• Curved line

How do you calculate the area of a square with sides of length 5√9m?

• 225m^2

• 25m^2

• 81m^2

• 45m^2

What is the rule for simplifying a fraction with a radical in the denominator?

• Add the radical to the numerator

• Multiply by the radical

• Divide by the radical

• Rationalize the denominator

What is the cube root of 8?

• 2

• 8

• 16

• 4

In the expression 2 times the cube root of x^5, what is the power of x?

• 3/5

• 2/3

• 5/3

• 3/2