MATH 9 REVIEWER - QUARTER 1

It is a mathematical sentence of degree 2 that can be written in ax² + bx + c = 0, where a, b, and c are real numbers and c≠0.

• Linear Equation

• Quadratic Equation

• Linear Inequality

• Quadratic Inequality

What do you call the method of solving quadratic equation in the form ax² = k?

• Factoring

• Completing the square

• Extracting Square Roots

• Quadratic Formula

Which of the following can be solved by extracting the square roots?

• 9m² - 16 = 0

• 2x² + 7x - 5 = 0

• x² + 3x + 6 > 0

• k² + 8k + 12 > 0

What number should be added in the equation x² + 4x + _ to make it a perfect square trinomial?

• 2

• 4

• 6

• 8

If you solve the equation m² + 7m + 10 = 0 by Factoring, what are the solutions?

• 2 and 5

• -2 and -5

• 5 and -2

• -5 and 2

Which of the following is the nature of the roots of the equation x² + 5x + 4 = 0?

• Real and Equal

• Rational and Not Equal

• Irrational and Not Equal

• No Real Roots

Which of the following expressions best describes the sum of the roots a quadratic equation ax² + bx + c = 0?

• -b / a

• c / a

• b² - 4ac

• 4ac - b²

Which of the following expressions best describes the product of the roots a quadratic equation ax² + bx + c = 0?

• -b / a

• c / a

• b² - 4ac

• 4ac - b²

Which of the following is the standard form of the equation (3r + 1)² + (r + 2)² = 65?

• r² + r + 6 = 0

• r² + r - 6 = 0

• 10r² + 10r + 60 =0

• 10r² + 10r - 60 =0

What is the standard form of the equation 2(x - 2)² + 4 = 0?

• 2x² - 8x + 12 = 0

• 2x² + 8x + 12 = 0

• 2x² - 8x - 12 = 0

• 2x² + 8x - 12 = 0