Quadratics

Solving by factoring

Completing the square

Quadratic formula

Solving by taking square roots

Fun facts about Mrs. Todd

100

Solve by factoring.

x² + 2x -3 = 0

(x-1)(x+3) = 0

x = 1 or x = 3

100

Define and give an example of a perfect square trinomial.

A quadratic trinomial that factors to two identical binomials.

Ex: x²+6x+9

100

Write the quadratic formula

x = (-b +- sqrt(b^2 - 4ac))/2a

100

Solve this equation by taking square roots.

x² + 1 = 26

x² = 25

x= 5, -5

100

Mrs. Todd's favorite drink

Coffee

200

Solve by factoring.

x² + 16 = 10x

x² - 10x + 16 =0

(x-2)(x-8)

x = 2 or x = 8

200

Complete the square for this quadratic trinomial:

x²+10x = 8

(10/2)²=25

x²+10x+25 = 33

200

Solve x²- 8x + 14 = 0 using the quadratic formula.

x =( -(-8) ±√ ((-8)²- 4(1)(14))) / 2(1)

= (8 ±√ 8) / 2

= 5.41 and 2.59

200

Solve by using square roots 3x²+4 = 16

3x² = 12

x²=4

x = 2 or -2

200

Number of pets Mrs. Todd has.

1- A dog named Daisy.

300

Solve by factoring

6x²-7x-20=0

(2x-5)(3x+4)=0

x= 5/2 or -4/3

300

Solve x²− 6x − 3 = 0 by completing the square.

x²−6x=3

x²−6x+(−3)²=3+9

(x−3)²=12

x−3=±√12

x=6.46 and -.46

300

Solve x²+ 4x - 10 = 11 by using quadratic formula.

x = 3 or -7

300

Solve this equation by taking square roots. Round to the tenths.

2x² - 16 = 38 + x²

x = 7.3 or -7.3

300

Mrs. Todd was born in what year?

1991

400

Solve by factoring.

18x² - 3x = 6

18x² - 3x -6 = 0

= 3(6x² - x - 2) = 0

= 3(3x -2)(2x +1)= 0

= 3x -2 = 0 2x + 1 = 0

x = 2/3 or x -1/2

400

Solve by completing the square.

3x²- 9x + 4 = 28

3x²- 9x = 24

x² - 3x = 8

x² -3x + 2.25 = 10.25

(x-1.5)²=10.25

x - 1.5 = +- 3.2

x = 4.7 or -1.7

400

Solve 2x²-5x +10 = 2x - 5

No solution (can't take the square root of a negative).

400

Solve by using square roots:

2x²-8 = 4x²+60

No solution, can't take the square root of -34

400

How many siblings does Mrs. Todd have?

3- 1 older brother and 2 younger sisters.