Solving Quadratics

Solving by Completing the Square

100

Find the missing value to complete these squares:

x²+10x+____=0

x²+12x+____=0

x²+___+4=0

25

16

4x

200

Solve by completing the square:

x²+14x-17=0

x = -7±√(66)

x=-15.12, x=1.12

300

Solve by Completing the Square:

x²+4x-32=0

x = -2 ± 6

x=4, x=-8

400

Solve by Completing the Square

x²-8x-32=0

x = 4 ± √(48)

x=-2.93,  x=10.93

500

Solve by Completing the Square:

5x²+30x+10=0

x = -3 ± √7

x=

Solving by Factoring

100

Solve by Factoring:

x²+13x+40=0

[Include the Factors and Solutions in your answer!]

(x+5)(x+8)=0

x=-5, x=-8

200

Solve by Factoring:

x²-9x-36=0

[Include the Factors and Solutions in your answer!]

(x-12)(x+3)=0

x=12, x=-3

300

Solve by Factoring:

7x²+9x+2=0

[Include the Factors and Solutions in your answer!]

(7x+2)(x+1)=0

x=-2/7, x=-1

400

Solve by Factoring:

3x²+5x-50

[Include the Factors and Solutions in your answer!]

(3x-10)(x+5)=0

x=10/3, x=-5

500

Solve by Factoring:

6x²+61x+10=0

[Include the Factors and Solutions in your answer!]

(6x+1)(x+10)=0

x=-1/6, x=-10

Adding, Subtracting, and Multiplying Polynomials

100

Add the two trinomials:

(5x²-6x+3)+(6-7x³+4x²)

[Write your answer in standard form!]

-7x³+9x²-6x+9

200

Subtract the two trinomials:

(4x-6x³+7)-(4+2x+4x³)

[Write your answer in Standard Form!]

-10x³+2x+2

300

Subtract the two trinomials:

(3x³+4x²-6x)-(5x²+2x+4x³)

[Write your answer in Standard Form!]

-x³-x²-8x

400

Multiply the following binomial pairs:

1. (-4x+8)(8x+7) 

2. (-7x²+7)(4x-8)

[Write your answers in standard form!]

1. -32x²+36x+56

2. -28x³+56x²+28x-56

500

Complete the following operations:

(10x²+24x+42) - (4x+8)(-5x-3)

[Write your answers in standard form!]

-10x²-28x+18

Zero Product Property

100

Solve BOTH equations for x:

1. (x+6)(x-2)=0

2. (x+972)(x-273)=0

1. x=-6, x=2

2. x=-972, x=273

200

Solve BOTH equations for x:

1. 4x(x-7)=0

2. (x+10)13x=0

1. x=0, x=7

2. x=-10, x=0

300

Solve BOTH equations for x:

1. (2x+5)(5x-9)=0

2. (5x+1)(3x-4)=0

1. x=-5/2, x=9/5

1. x=-1/5, x=4/3

400

Solve BOTH equations for x:

1. 18x(3x+4)(x-3)=0

2. -7x(7x+1)(10x-3)=0

1. x=0, x=-4/3, x=3

2. x=0, x=-1/7, x=3/10

500

Create a single equation with the following solutions:

x=0,  x=-3/2,   x=5

Equation:

17x(2x+3)(x-5)=0

Blast from the Past

100

Find the Mean, Median, and Mode of this set of data:

0, 4, 5, 7, 8, 8, 24

Mean:  8

Median: 7

Mode: 8

200

Simplify the exponential expression:

(5x²yz⁴)³

125x⁶y³z¹²

300

Write an equation for the following situation:

A population of bacteria has a starting population of 30 and it doubles every minute.

y=30*2^t

400

Define "Interquartile Range" ("IQR").

1. The inner 50% of data within a data set.

2. The space of a box plot between the 1st and 3rd Quartile.

500

When is it MORE ACCURATE to use the MEDIAN to measure the center of data as opposed to using the MEAN?

When there is an OUTLIER in the data set.