Completing the Square

Practice Questions

Algebra II › Completing the Square

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1

Josephine wanted to solve the quadratic equation below by completing the square. Her first two steps are shown below:

Equation:

Step 1:

Step 2:

Which of the following equations would best represent the next step in solving the equation?

2

Solve for by completing the square.

3

Which of the following is the same after completing the square?

4

Solve by completing the square:

5

What is/are the solution(s) to the quadratic equation

.

Hint: Complete the square

6

Use completing the square to re-write the follow parabola equation in vertex form:

7

Use completing the square to solve the following equation, simplifying radicals completely:

8

Ahmed is trying to solve the equation by completing the square. His first two steps are shown below:

Step 1:

Step 2:

Ahmed knows that he needs to add a number to both sides in the next step.

What number should Ahmed add to both sides?

9

Solve the following equation by completing the square. Use a calculator to determine the answer to the closest hundredth.

10

Which of the following equations is equivalent to after completing the square?

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