Algebra 1B Review

Solving w/ Quadratic Formula

100

x² + 5x -14 =0

(2, -7)

200

x² + 2x − 1 = 2

(1, -3)

300

2x²+9x−5=0

(1/2, -5)

400

k²− 31 − 2k = −6 − 3k²− 2k

(5/2, -5/2)

500

𝑥(𝑥+2)−5=0

X = -1 +- sqrt 6

Factoring

100

b² + 16b + 64

(b +8)²

200

a² + 11a + 18

(a + 2)(a + 9)

300

v² - 7v +10

(v -5)(v -2)

400

p² + 11p + 10

(p + 10)(p + 1)

500

2n² + 6n − 108

2(n + 9)(n - 6)

Solving w/Quadratic Formula 2

100

3y²-5y +2 =0

(2/3, 1)

200

4b² + 2b - 6 =0

(-3/2, 1)

300

3m²+12m+7=0

m = (-6 +- sqrt 15)/3

400

5b²+2b+4=0

no real solution

500

1/9d² - 1/2d = -1/2

d= 3/2, d= 3

FOIL

100

(x² - 3) (x + 5) 

x³ + 5x² - 3x - 15

200

(4x - 5)(x - 3)

4x² -17x +15

300

3(y+4)(y-7)

3y²-9y-84

400

(y² - 2y + 3)(y - 5)

y³ - 7y² + 13y - 15

500

(x - 7)(2x² + 4)

2x³ - 14x² +4x - 28

Trivia

100

Where is my "a" term located?

In front of x²

200

What is another way to solve some problems that can be solved by the quadratic formula?

Factoring

300

In front of what variable would I find my "b" term?

x

400

What is the quadratic formula used for?

To find the roots, or zeros, of a function

500

What is the quadratic formula?

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