Solving Quadratic Equations

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.B.4B

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

What is the first step to solving THIS equation by completing the square?

a² + 10a + 21 = 0

• Leave the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract 21 from both sides

Tags

CCSS.HSA-REI.B.4B

What number goes in the blank to complete the square for this trinomial?

x² – 8x + ___

• -4

• -16

• 4

• 16

Tags

CCSS.HSA-REI.B.4B

When solving the equation x² - 12x + 4 = 20

by completing the square , what values would go in the two blanks?

(________)² = ______

• x - 12; 42

• x - 6; 16

• x - 6; 52

• x - 6; 56

Alanna 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

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• Pythagorean Formula
• Quadratic Formula
• Distance Formula
• Correlation Formula

Tags

CCSS.HSA-REI.B.4B

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Factor
v² - 6v + 9

• (v-3)²
• (v-6)²
• (v-9)(v+6)
• not factorable

Tags

CCSS.HSA.APR.C.4

Complete the Square
x² + 10x + ____

• x² + 10x - 100
• x² + 10x + 100
• x² + 10x - 25
• x² + 10x + 25

Tags

CCSS.HSA-REI.B.4B