How to Solve Linear Equations - Completing the Square

What does the square root property imply when solving an equation like x² = 20?

• x equals 10

• x equals plus or minus the square root of 20

• x equals the square root of 20

• x equals 20

When solving 3x² - 4 = 68, what is the first step?

• Multiply both sides by 3

• Divide both sides by 3

• Add 4 to both sides

• Subtract 4 from both sides

How can radical 24 be simplified?

• 2 radical 6

• 4 radical 6

• 6 radical 2

• 8 radical 3

What is the purpose of adding (b/2)² in the completing the square method?

• To form a perfect square trinomial

• To eliminate the x term

• To factor the equation

• To solve the equation directly

In the expression x² + 6x, what is the value of b?

• 3

• 6

• 9

• 12

What is the result of completing the square for x² + 4x?

• (x + 4)²

• (x + 1)²

• (x + 2)²

• (x + 3)²

What are the solutions for the equation x² - 6x = 27 after completing the square?

• x = 3 and x = -9

• x = 6 and x = -6

• x = 9 and x = -3

• x = 3 and x = 9

What is the vertex form of a quadratic function?

• y = a(x + h)² + k

• y = ax² + bx + c

• y = ax² + k

• y = a(x - h)² + k

In the vertex form y = a(x - h)² + k, what does 'h' represent?

• The horizontal translation

• The x-intercept

• The vertical translation

• The y-intercept

What is the vertex of the function f(x) = x² + 10x - 13?

• (5, 38)

• (5, -38)

• (-5, 38)

• (-5, -38)