Solving Quadratic Equations by Completing the Square

What is the first step in solving a quadratic function by completing the square?

• Multiply the quadratic term by 2

• Divide the linear coefficient by 2

• Add the constant term to both sides

• Subtract the quadratic term from both sides

Tags

CCSS.HSA-REI.B.4B

After dividing the linear coefficient by 2, what is the next step?

• Multiply the result by the quadratic term

• Subtract the result from the linear coefficient

• Square the result

• Add the result to the constant term

Tags

CCSS.HSA-REI.B.4B

What do you do with the squared result when completing the square?

• Add it to both sides of the equation

• Subtract it from both sides of the equation

• Multiply it by the quadratic term

• Add and subtract it on the same side of the equation

Tags

CCSS.HSA-REI.B.4B

What is the purpose of putting parentheses around the first three terms?

• To prepare for factoring

• To isolate the constant term

• To identify the perfect square trinomial

• To simplify the equation

Tags

CCSS.HSA-REI.B.4B

What is the next step after forming a perfect square trinomial?

• Take the square root of both sides

• Add the constant term to both sides

• Multiply both sides by the linear coefficient

• Divide both sides by the quadratic term

Tags

CCSS.HSA-REI.B.4B

What does the plus-minus symbol (±) indicate when solving the completed square equation?

• The equation has no solution

• The equation has two possible solutions

• The equation has an infinite number of solutions

• The equation has one solution

Tags

CCSS.HSA-REI.B.4B

When solving a quadratic function with irrational numbers, what form will the solutions be in?

• Decimals

• Whole numbers

• Simplified radical form

• Fractions

Tags

CCSS.HSA-REI.B.4B

What is the first step in solving a quadratic function with irrational numbers by completing the square?

• Add the constant term to both sides

• Set the equation equal to zero

• Multiply the quadratic term by 2

• Subtract the linear coefficient from both sides

Tags

CCSS.HSA-REI.B.4B

How do you simplify the square root of 18?

• 3 times the square root of 2

• 2 times the square root of 3

• 6 times the square root of 3

• 9 times the square root of 2

If asked to round your answers to the nearest tenth, what should you do?

• Leave the answer in radical form

• Multiply the answer by 10

• Convert the answer to a fraction

• Use a calculator to find the decimal value