Semester Review: Día Dos

Fantastic Systems and How to Solve Them

100

What strategy would I use to solve this system of equations? How do you know?

y = 2x + 9

y = 5x-1

y = , y = 

Equal Values

Maybe graphing

200

What strategy would I use to solve this system?

x = 2y - 9

7x - 10y = 0

Substitution

One is in x =, the other is something different

300

Solve using substitution

x = 10

y = 5x - 7

(10, 43)

400

Solve the system of equations:

y = 5x -1

y = 3x + 13

(7, 34)

500

Solve the system of equations:

y = 2x-1

4x + 3y = 27

(3, 5)

Elimination Station

100

How do you know this system can be solved using elimination? 

2x + y = 10

 x +2y = -1

Both in standard form:

ax + by = c

200

What would be my first step in solving with elimination?

x  - 2y = 9

 x + 2y =-1

Adding straight down, zeroing out the y's

300

 Solve the system:

 x  - 2y = 9

 x + 2y =-1

(4, -2.5)

400

What step must be taken before adding these equations?

 4x  +  y  = 21

 3x  + 2y = 47

Multiply top equation by -2

500

Solve the system:

 4x  +  y  = 21

 3x  + 2y = 47

(-1, 25)

Exponentially Happier Every Day

100

5x^{4 *} 2x³

10x⁷

200

-4(2ab)⁰

-4

300

(4x⁵)²

16x¹⁰

400

(x³ * 2 * x^-1)^-4

x⁴ / (16 * x¹²)

500

5 * a ^* b^{-3 *} a^{-4 *} b⁷ * 2

10 * b⁴ / (a³)

All of my X's live in Texas

100

3+2x=5x-9

x=4

200

|x+3| = 10

x = 7

x = -13

300

3(x - 4) = 5x + 18

x = -15

400

(x-3)² = x² - x - 1    

x = 2

500

|5x-4|=21

x = 5 

x = -17/5

  or -3.2