Question 1

Which of the following is a quadratic equation?

Accepted Answer

x²+ 3x - 4 = 0

Answer

x3 + 2 = 0

Answer

x + 5 = 0

Answer

2x - 7 = 0

Question 2

Which of the following shows the standard form of this quadratic equation: 5x² + 10 = 2x² – 3x?

Accepted Answer

3x²+ 3x + 10 = 0

Answer

7x²+ 3x + 10 = 0

Answer

3x²- 3x - 10 = 0

Answer

7x²- 3x - 10 = 0

Question 3

Solve the equation by factoring: x²- 7x + 12 = 0

Accepted Answer

x = 4 and x = 3

Answer

x = -4 and x = 3

Answer

x = -4 and x = -3

Answer

x = 4 and x = -3

Question 4

Solve by completing the square: x²+ 4x - 5 = 0

Accepted Answer

x = -2 $\pm\sqrt{9}$

Answer

x = 2 $\pm\sqrt{9}$

Answer

x = 2 $\pm\sqrt{9}$

Answer

x = -2 $\pm\sqrt{9}$

Question 5

Solve using the quadratic formula: 3x²- 2x - 1 = 0

Accepted Answer

x $\pm\sqrt{9}$

Answer

x = $\pm\sqrt{9}$

Answer

x = $\pm\sqrt{9}$

Answer

x = $\pm\sqrt{9}$

Question 6

Solve by extracting the square roots: x²= 81

Accepted Answer

x = $\pm\sqrt{9}$

Answer

x = 9

Answer

x = 81

Answer

x = $\pm\sqrt{9}$

Question 7

Find the discriminant of the equation: x²- 6x + 9 = 0.

Accepted Answer

D = 0

Answer

D = 72

Answer

D = -36

Answer

D = 36

Question 8

What is the nature of the roots of the equation x²+ 2x + 5 = 0?

Accepted Answer

No real roots

Answer

Real and equal

Answer

Rational and not equal

Answer

Irrational and not equal

Question 9

Find the sum and product of the roots of the equation: 2x²- 5x + 3 = 0.

Accepted Answer

sum = 5/2 and product = 3/2

Answer

sum = -5/2 and product = -3/2

Answer

sum = -5/2 and product = 3/2

Answer

sum = 5/2 and product = -3/2

Question 10

Form a quadratic equation with roots 4 and -3.

Accepted Answer

x²- x - 12 = 0

Answer

x²- 7x - 12 = 0

Answer

x²- 1x + 12 = 0

Answer

x²- 7x + 12 = 0

Question 11

The area of a rectangle is 60 square meters. If the length is x meters and the width is (x - 4) meters, find the dimensions of the rectangle.

Accepted Answer

Length = 10 meters and width = 6 meters

Answer

Length = 6 meters and width = 2 meters

Answer

Length = 10 meters and width = 14 meters

Answer

Length = 6 meters and width = 10 meters

Question 12

The length of a rectangular billboard is 2 m more than its width, and its area is 80 m². What is the length of the billboard?

Accepted Answer

The length is 10 meters.

Answer

The length is - 8 meters

Answer

The length is 8 meters.

Answer

The length is -10 meters.

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