Quadratic Equations Quiz

Given a, b, and c are real numbers and 𝑎 ≠ 0, which of the following is the standard form of quadratic equation?

• 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0

• 𝑎 = 𝑏𝑥 + 𝑐

• 𝑎𝑥 + 𝑏 + 𝑐 = 0

• 𝑎𝑥 + 𝑏² + 𝑐 = 0

Which of the following is a quadratic equation?

• 3𝑥 + 5 = 0

• (𝑥 + 2) (𝑥 - 3) = 5

• (𝑥 + 1) (𝑥 - 2) = 𝑥²

• 2𝑥² + 𝑥² - 5 = 0

Given (𝑥 - 1)² + 3 = 2𝑥 + 1, find the value of the constant term.

• 1

• 3

• -1

• -3

Which of the following is equivalent to 𝑥² + 4𝑥 - 7 = 0?

• (𝑥 + 1) (𝑥 - 7) = 0

• (𝑥 + 5)(𝑥 - 3) = 6

• (𝑥 + 4) (𝑥 - 3) = 5

• (𝑥 + 1)(𝑥 + 3) = 10

When the quadratic equation (𝑥 + 5) (2𝑥 - 3) = 2(𝑥 + 1) is written in standard form, what are the values of a, b, and c.

• 𝑎 = 4, 𝑏 = 19, 𝑐 = −17

• 𝑎 = 1, 𝑏 = −5, 𝑐 = 17

• 𝑎 = 2, 𝑏 = 5, 𝑐 = −17

• 𝑎 = 2, 𝑏 = 10, 𝑐 = 17

Which of the following situations illustrates quadratic equation?

• A garden's length is 7m longer that its width and the area is 18 square meter.

• A lot cost P4,000 per square meter and the area is 120 square meters.

• Joey paid at least P2,000 for the shirt and pants. The cost of pants is P700 more than the shirt.

• The length of a rectangular board is 3m longer than the width and the perimeter is 25m.

Express the statement in quadratic equation: "A rectangular field with an area of 120m² has its length 12m. longer than the width."

• 𝑥² − 12𝑥 − 120 = 0

• 𝑥² + 12𝑥 - 120 = 0

• 𝑥² + 12𝑥 + 120 = 0

• 𝑥² - 12𝑥 + 120 = 0

Ryan is constructing a play house. He wants each window to have an area of 315 cm². Which of the statements below forms a quadratic equation?

• The length of each window is 4 less than the square of the width.

• The length of each window is 6 cm more than the width.

• The area of the window is twice its width.

• The sum of the length and width is twice its area.

The area of a square with side s is 144 𝑐𝑚². Which quadratic equation represents the area of the square?

• 4𝑠 = 144

• 𝑠² = 144

• 𝑠 (𝑠 + 1) = 144

• (𝑠 + 1)² = 144

A rectangular lot has an area of 132𝑚² and a perimeter of 46𝑚. Which of the following quadratic equations illustrates the given situation?

• 𝑥² − 23𝑥 + 132 = 0

• 𝑥² + 46𝑥 - 132 = 0

• 𝑥² + 23𝑥 + 132 = 0

• 𝑥² - 46𝑥 + 132 = 0