Fun with Fun with Factoring

Systematically

Speaking

Graph

That

The

Matrix

(not the movie)

Quirky Quadratics

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

500 500 500 500 500

Fun with Factoring - 100

Factor

5xy + 25yz

5y(x + 5z)

Fun with Factoring - 200

Factor

x2 - 121

(x- 11)(x + 11)

Fun with Factoring - 300

Factor

x2 – 8x + 16

(x – 4)2

Fun with Factoring - 400

Factor

10x2 + 11x – 6

(5x – 2)(2x + 3)

Fun with Factoring - 500

Factor

2x5 + 2x4 – 2x3 – 2x2

2x2(x – 1)(x + 1)2

Systematically Speaking - 100

Solve the system by substitution

y =2x

2x + 3y = 32

(4, 8)

Systematically Speaking - 200

Solve by elimination

x + y = 10

x – y = 8

(9, 1)

Systematically Speaking - 300

Solve

x + 2y = 10

2x – y = 5

(4, 3)

Systematically Speaking - 400

Solve

x =5

x + y = 12

y + z =15

(5, 7, 8)

Systematically Speaking - 500

Solve

x + y + z = 12

2x + 2y + 2z = 24

x – y – z = -8

Infinitely Many Solutions

Graph That - 100

What is the slope of y = 2x - 5

m = 2

Graph That - 200

What is the y-intercept of y = 2x – 7

(0, -7)

Graph That - 300

Find the slope of 2x – 3y = 12

2/3

Graph That - 400

Find the x-intercept of 3x + 7y = 12

(4, 0)

Graph That - 500

Where do the following lines intersect

y = -3x + 7

6x + 2y = 14

They always intersect

They are the same line

The Matrix (not the movie) - 100

What are the dimensions of the following matrix

2 1 5

6 3 0

8 9 4

3 x 3

The Matrix (not the movie) - 200

Identify element a12

5 0 7

9 4 6

0

The Matrix (not the movie) - 300

Add the matrices

1 5 0 4

7 8 8 12

1 91 20

Multiply the matrices

1 2 1 23 4 3 4

7 1015 22

The Matrix (not the movie) - 500

Find the determinant of

1 3

4 6

-18

Quirky Quadratics - 100

What is the vertex of y = 3(x – 4)2 + 5

(4, 5)

Quirky Quadratics - 200

Find the maximum of y = -3x2 + 6x + 5

8

Quirky Quadratics - 300

What is the axis of symmetry for the quadratic

f(x) = 5x2 +7x - 9

X = -7/10

Quirky Quadratics - 400

What are the solutions for the equation

y = x2 + x – 6

x = 2, x = -3

Quirky Quadratics – 500

What are the solutions of the equation

y = 2x2 – 3x - 20

(4, 0) and (-5/2, 0)