Quadratic Equations Quiz

What do you call a second-degree polynomial equation that can be written in the form 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0, where a, b and c are real numbers and 𝑎 ≠ 0?

• Linear Equation

• Linear Inequality

• Quadratic Equation

• Quadratic Inequality

Which of the following is not quadratic equation?

• 8𝑘 – 3 = 12

• 9𝑟² – 25 = 0

• 𝑥² – 5𝑥 + 3 = 0

• (2𝑥 + 5) (𝑥 – 1) = −6

Find the linear term in the quadratic equation 3𝑥(𝑥 − 2) = −7𝑥 + 1.

• 13x

• -13x

• x

• –7x

What is the constant term of (𝑥 − 5) (2𝑥 + 3) = 7?

• 7

• -8

• -15

• -22

Which of the following quadratic equations is equivalent to 𝑥² + 9𝑥 = −8?

• (x + 1) (x + 8) = 0

• (x – 1) (x + 8) = 0

• (x -1) (x – 8) = 0

• (x+ 1) (x - 8) = 0

Which situations illustrates quadratic equation?

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

• Joey paid at least ₱2,000 for the shirt and pants. The cost of pants is ₱700 more than the shirt.

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

• A lot cost ₱4,000 per square meter and the area is 120 square meters.

If (𝑥 + 2)² = 3(𝑥 + 2) is written in standard form, the value of b is .

• 7

• 5

• 3

• 1

When the quadratic equation (2𝑥 + 5) (𝑥 − 1) = −6 is written in standard form, what are the values of a, b, and c?

• 𝑎 = −2, 𝑏 = 3, 𝑐 = 1

• 𝑎 = 2, 𝑏 = 3, 𝑐 = 1

• 𝑎 = 2, 𝑏 = −3, 𝑐 = 1

• 𝑎 = −2, 𝑏 = −3, 𝑐 = 1

The dimensions of a rectangle with an area of 56 meters² are (3x - 1) meters by (x + 4) meters. Which of the following quadratic equation in standard form represents the situation?

• 3x² + 11x – 60 = 0

• 3x² + 11x + 60 = 0

• 3x² + 11x – 52 = 0

• 3x² + 11x + 52 = 0

When 7 – 5𝑥 = 3𝑥² was written in standard form, Ana and Elsa got the following answers: Ana: 3𝑥² + 5𝑥 – 7 = 0 Elsa: −3𝑥² – 5𝑥 + 7 = 0. Who do you think got the correct answer?

• Ana

• Elsa

• Both

• None