2-12 Practice

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What could you add to make this x2 - 6x into a perfect square?

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After adding your number, what would the expression be as a perfect square?

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What could you add to make this x2 + 2x into a perfect square?

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After adding your number, what would the expression be as a perfect square?

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What could you add to make this x2 + 14x into a perfect square?

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After adding your number, what would the expression be as a perfect square?

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What could you add to make this x2 - 4x into a perfect square?

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After adding your number, what would the expression be as a perfect square?

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What could you add to make this x2 + 24x into a perfect square?

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After adding your number, what would the expression be as a perfect square?

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What does Mai add to both sides of the equation in between steps 1 and 2?

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After step 2, Mai takes the square root of both sides of the equation to get x + 6 on the left. What would she get on the right side of the equation?

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Solve: x + 6 = 7

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Solve: x + 6 = -7

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You subtract 5 from both sides to rewrite the equation as x2 - 6x = 7. What should you add to both sides to make a perfect square?

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Your new equation is (x - 3)2 = 16. What is one solution to the equation?

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Your new equation is (x - 3)2 = 16. What is the other solution to the equation?

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What is one solution to the equation x2 - 2x = 8?

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What is the other solution to the equation x2 - 2x = 8?

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Complete the square for the equation: 11 = x2 + 4x - 1. What is one solution to the equation?

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Complete the square for the equation: 11 = x2 + 4x - 1. What is the other solution to the equation?

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What could you add to make this x2 - 6x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 + 2x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 + 14x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 - 4x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 + 24x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What does Mai add to both sides of the equation in between steps 1 and 2?

After step 2, Mai takes the square root of both sides of the equation to get x + 6 on the left. What would she get on the right side of the equation?

Solve: x + 6 = 7

Solve: x + 6 = -7

You subtract 5 from both sides to rewrite the equation as x2 - 6x = 7. What should you add to both sides to make a perfect square?

Your new equation is (x - 3)2 = 16. What is one solution to the equation?

Your new equation is (x - 3)2 = 16. What is the other solution to the equation?

What is one solution to the equation x2 - 2x = 8?

What is the other solution to the equation x2 - 2x = 8?

Complete the square for the equation: 11 = x2 + 4x - 1. What is one solution to the equation?

Complete the square for the equation: 11 = x2 + 4x - 1. What is the other solution to the equation?

Complete the square for the equation: x2 - 18x + 60 = -21. What is the solution to the equation?

What is (x + 3)(x - 3) in standard form?

What is (7 + x)(x - 7) in standard form?

What is (2x - 5)(2x + 5) in standard form?

What is (x + 1/8)(x - 1/8) in standard form?

How did rewriting 203 * 197 as (200 + 3)(200 - 3) make it easy to calculate?

What could you add to make this x2 - 6x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 + 2x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 + 14x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 - 4x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What could you add to make this x2 + 24x into a perfect square?

After adding your number, what would the expression be as a perfect square?

What does Mai add to both sides of the equation in between steps 1 and 2?

After step 2, Mai takes the square root of both sides of the equation to get x + 6 on the left. What would she get on the right side of the equation?

Solve: x + 6 = 7

Solve: x + 6 = -7

Match each equation to an equivalent equation with a perfect square on one side.

You subtract 5 from both sides to rewrite the equation as x2 - 6x = 7. What should you add to both sides to make a perfect square?

Your new equation is (x - 3)2 = 16. What is one solution to the equation?

Your new equation is (x - 3)2 = 16. What is the other solution to the equation?

Which equation below is equivalent to x2 - 2x = 8?

What is one solution to the equation x2 - 2x = 8?

What is the other solution to the equation x2 - 2x = 8?

Complete the square for the equation: 11 = x2 + 4x - 1. What is one solution to the equation?

Complete the square for the equation: 11 = x2 + 4x - 1. What is the other solution to the equation?

Complete the square for the equation: x2 - 18x + 60 = -21. What is the solution to the equation?

What is (x + 3)(x - 3) in standard form?

What is (7 + x)(x - 7) in standard form?

What is (2x - 5)(2x + 5) in standard form?

What is (x + 1/8)(x - 1/8) in standard form?

How did rewriting 203 * 197 as (200 + 3)(200 - 3) make it easy to calculate?

Select all the true statements about this situation.