Quadratic Equations

The solution, root, x-intercept, and zero of a problem are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

Tags

CCSS.HSA-REI.B.4B

Factorise: 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

The solutions of the quadratic equation x²+2x-15=0 are

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

What should you do first to solve this equation using quadratic formula?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

In the equation

x² - 5x + 7= 0,

match each leading coefficient with its correct letter

for a, b and c

• a = 0, b = 5, c = 7

• a = 1, b = -5, c = 7

• a = 7, b = 5, c = 1

• a = 1, b = 5, c = 7

When solving a quadratic equation, when do you use the plus or minus (±) symbol?

• After taking the square root of both sides

• After adding the square to both sides

• After taking half of b

• After setting the equation equal to zero

Tags

CCSS.HSA.REI.B.4

Shilpa says that the equation y = 2x² - 3x - 2 has two real solutions. Is she correct?

• No because the discriminant is negative

• Yes because the discriminant is positive

• Yes because the discriminant is zero

• No because the discriminant is zero

Every quadratic polynomial can have at most.....

• three zeros

• one zero

• two zeros

• none of these

Which of the following has real roots?

• 
  

  $x^2+2\sqrt{3x}-1=0$
  

• $x^2+2x+4=0$

• $x^2-x+1=0$

• $3x^2-2x+2$