Quarter 1 Review

Which of the following mathematical statements is a quadratic inequality?

• 4x² + 2x – 2 ≥ 0

• 9h + 18 < 0

•  5t² - r – 20 = 0

• m² + 9m + 16 = 0

What is the nature of roots of the quadratic equation if the value of its discriminant is greater than zero and a perfect square?

• The roots are not real.

• The roots are real, irrational and not equal.

• The roots are real, rational and not equal.

• The roots are real, rational and equal.

The length of the rectangular lot is 5 meters longer than its width, if width is represented by w, then the area is 150m².  What function is illustrated by the given situation?

• Linear Function

• Quadratic Function

• Cubic Function

• Rational Function

The area of the volleyball court is a function of its sides (l, w), which is the dependent variable?

• Area

• width

•  length

• height

 What is f(x) = -3 (x+2)² + 2 when written in the form f(x) = ax² + bx + c?

• f(x) = -3x² +12x – 10

• f(x) = 3x² -12x + 10

•  f(x) = (x+1)² + 2

•  f(x) = -3x² -12x -10

The vertex of the quadratic equation f(x) = (x+1)² – 2 is

• (1, 2)

• (-1, 2)

•  (1, - 2)

• (-1, -2)

 Consider the quadratic function f(x) = (x+3)² + 2, the axis of the symmetry of the function is

• x = 3

•  x = -3

• x = 2

• x = -2

What is the equivalent quadratic equation of x(x – 5) =10.

•  x² – 5x + 10 = 0

• x² + 5x – 10 = 0

• x² + 5x + 10 = 0

• x² - 5x  - 10 = 0

Predict the number to make x² + 22x + ___ a perfect square trinomial.

• 100

•  121

• 144

• 441

The roots of a quadratic equation are 5 and -2.  Distinguish which of the following quadratic equations has these roots.

• x² + 3x + 10 = 0

• x² – 3x – 10 = 0

• x² – 3x + 10 = 0

• x² + 3x – 10 = 0