Quadratic Equations Pre Assessment

In the quadratic equation x² + 8x – 2 = 0, what are the values of a, b, and c?

• a = 0, b = 8, c = 2

• a = 1, b = 8, c = 2

• a = 1, b = 8, c = -2

• a = 0, b = 8, c = -2

Which of the following quadratic equations is written in standard form?

• x² + 7x + 12 = 0

• x² + 12 + 7x = 0

• x² + 7x = -12

• 7x + 12 + x² = 0

What is the standard form of the quadratic equation 5x(x -2) = 7?

• 5x² + 10x = 7

• 5x² - 10x = 7

• 5x² - 10x - 7= 0

• 5x² + 10x + 7= 0

In the quadratic equation (y - 2) (y + 3), what are the values of a, b, and c?

• a = 1, b = 1, c = -6

• a = 1, b = 5, c = -6

• a = 1, b = 1, c = 6

• a = 1, b = 5, c = 6

What is the standard form of the quadratic equation (x + 3) (x - 1)?

• x² – 4x - 3 = 0

• x² + 2x - 3= 0

• x² - 2x - 3= 0

• x² + 2x + 3= 0

• 1

• 2

• 3

• 4

• x = 0 and x = -6

• x = 0 and x = 6

• x = 1 and x = -6

• x = 1 and x = -1

Tags

CCSS.HSA-REI.B.4B

What is the quadratic equation in standard form if a = 2, b = -3 and c =-6?

• a = 5, b = 2, c = 0

• a = 5, b = - 2, c = 0

• a = 5, b = 0, c = - 2

• a = 5, b = 0, c = 2

What is the first step in solving the equation 3x^2+12x+9=0 by completing the square?

• Add 36 to each side of the equation.

• Factor the left side

• Extract the square roots of both sides of the equation

• Divide the whole equation by 3.

Answer explanation

In solving a quadratic equation using completing the square, the first step is to make the value of a = 1. Whatever the value of a in the quadratic equation, the whole equation should be divided by it to make a = 1.

Tags

CCSS.HSA-REI.B.4B