Review Quarter 1 Prt2

 It is a polynomial equation of degree two that can be written in the form ax² + bx + c = 0, and c are real numbers and  c ≠ 0.

•  Linear Equation

• Linear Inequality

• Quadratic Equation

• Quadratic Inequality

Using extracting square roots, calculate the roots of the quadratic equation 4x² – 64 = 0.

• 4

• -4

• 4, -4

• 8, -8

Solve the discriminant of the quadratic equation 3x² + 2x -5 = 0 and classify the nature of the roots.

•  64, real, rational, unequal

•  64, real, irrational, unequal

• -64, not real, imaginary

• 0, real, equal

Solve for the sum of the roots (S) and the product of the roots (P) of the quadratic equation using its integral coefficients of 3x² – 8x + 5 = 0.

•  S = 8/3, P = 5/3

• S = -8/3, P = 5/3

• S = -8/3, P = -5/3

• S = 8/3, P = -5/3

Which of the following numbers below is non-real?

 The length of a rectangular field is 8 meters longer than its width. If the area is 180 sq. meters, find the dimensions of the lot.

• 10 m x 18 m

•  8 m x 100 m

• 9 m x 20 m

• 2 m x 90 m

Analyze which of the following quadratic equations maybe solved more appropriately by factoring.

• 2x² =49

• t² + 12t + 36 = 0

• w² – 64 =0

•  2s² + 8s – 10 = 0

Quadratic inequalities in one variable are inequalities that can be written which is not one of the following?

• ax² + bx + c > 0

• ax² + bx + c ≤ 0

• ax² + bx + c = 0

• ax² + bx + c ≥ 0

The sum of the roots  of a quadratic equation is -5.  If one of the roots is 7, determine the quadratic equation.

•  x² – 5x  + 84 = 0

• x² +  5x + 84 = 0

• x² – 5x  - 84 = 0

•  x² + 5x  - 84 = 0

What are the roots of the quadratic inequality, x² - 2x ≤ 3

• x = 3, x= -1

• x = -3, x= 1

• x = 2, x= -1

• x = -2, x= 1