Radicals, Inequalities, and Quadratics Concepts

This video tutorial covers 15 problems commonly found on the Algebra 1 EOC exam. It includes topics such as radicals, area and perimeter, rearranging formulas, rational expressions, absolute value inequalities, equations with fractions, quadratic equations, the Pythagorean theorem, slope, domain and range, and shading inequalities. Each section provides step-by-step solutions and tips to help students understand and solve these problems effectively.

What is the first step in adding or subtracting radicals?

• Combine the coefficients directly.

• Ensure the radicals have the same number under them.

• Divide the radicals by each other.

• Multiply the radicals together.

When calculating the area of a shape, what formula should you use?

• Length plus width

• Length times width

• Length divided by width

• Length minus width

What is the key step in rearranging formulas to solve for a specific variable?

• Add all terms to one side.

• Isolate the variable on one side.

• Multiply all terms by zero.

• Divide all terms by the variable.

How do you simplify a rational expression?

• Factor and cancel common terms.

• Add the numerator and denominator.

• Subtract the denominator from the numerator.

• Multiply the numerator by the denominator.

What should you do when solving absolute value inequalities with a 'less than' sign?

• Multiply both sides by zero.

• Ignore the inequality sign.

• Create a compound inequality with 'and'.

• Create two separate inequalities using 'or'.

What is one method to solve equations with fractions?

• Multiply all terms by zero.

• Use the least common denominator.

• Use the greatest common factor.

• Combine fractions by adding them.

When solving inequalities, what should you be cautious of?

• Solving too slowly.

• Ignoring the inequality sign.

• Solving too quickly without reading the question.

• Using the wrong variable.

What is the square root method used for in quadratic equations?

• To divide exponents.

• To eliminate exponents.

• To add exponents.

• To multiply exponents.

What is the first step in completing the square?

• Add a constant to both sides.

• Move the constant term to the other side.

• Divide all terms by the leading coefficient.

• Multiply all terms by zero.

How do you rationalize the denominator of a radical expression?

• Add the radical to the numerator.

• Multiply by the same radical.

• Subtract the radical from the numerator.

• Multiply by the numerator.