Illustrating Quadratic Equation

What do you call a second-degree polynomial equation that can be written in the form 𝑎𝑥^2 + 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 a quadratic equation?

• 8𝑘 – 3 = 12

• 𝑥^2 – 5𝑥 + 3 = 0

• 9𝑟^2 – 25 = 0

• (2𝑥 + 5) (𝑥 – 1) = −6

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

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

Which of the following quadratic equations is equivalent to 𝑥^2 + 9𝑥 = −8?

• (x + 1) (x + 8) = 0

• (x - 1) (x – 8) = 0

• (x – 1) (x + 8) = 0

• (x+ 1) (x - 8) = 0

Which situation illustrates a 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 _____.

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

When 7 – 5𝑥 = 3𝑥^2 was written in standard form, Ana and Elsa got the following answers: Ana: 3𝑥^2 + 5𝑥 – 7 = 0 Elsa: −3𝑥^2 – 5𝑥 + 7 = 0. Who do you think got the correct answer?

• Ana

• Elsa

• Both

• None

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

• a𝑥^2 + b𝑥 + c = 0

• a𝑥 + b + c = 0

• a = b𝑥 + c

• a𝑥 + b^2 + c = 0