Show:
Mr. Mendoza
Expressions
Equations
Functions
Mystery Box
100

Where was Mr. Mendoza born?

Ecuador

100

3x+5x−2

8x−2

100

2x+5=13

x=4

100

find f(2): f(x)=3x+1 

f(2)=3(2)+1 

=6+1

f(2)= 7

100

What is the capital of Ecuador?

Quito

200

What instrument does Mr. Mendoza play?

Guitar

200

3(2x−4)

6x−12

200

3x−7=2x+5

x=12

200

is this a function?: {(1,2),(2,4),(3,6)} 

Look at the x-values: 1, 2, 3

Every input has exactly one output.

Therefore: Yes, it is a function.

Quick rule: One x cannot have two different y's !!

200

solve: (x5/x2)

x5-2

=x3

300

Where did Mr. Mendoza go to college?

FSU (go Noles!)

300

2(x+3)−4x

−2x+6

300

4(x−2)=2x+8

x=8

300

is this a function?: {(1,2),(1,5),(2,6)} 

Look at the x-values: 1, 1, 2

The input 1 has two outputs: 1→2 and 1→5

Therefore: No, it is not a function! 

300

who won the FIFA World Cup 2026?

Spain!!

400

What was Mr. Mendoza's major in college?

Biology

400

3x2+2x−5+x2−7x+1

4x2−5x−4

400

2(x+3)−4=3x+1

x=1

400

find f(-4): f(x)=2x+3 

f(−4)=2(−4)+3 

=−8+3 

f(-4)= −5

400

factor: x2+5x+6 

answer: (x+2)(x+3)

We need two numbers that:

  • multiply to 6
  • add to 5

Those numbers are 2 and 3.

Check:(x+2)(x+3)=x2+5x+6 

500

Mr. Mendoza wants to become a (...)?

doctor!!
500

2x2−3x+1    at x=−2

15

500

(x/3)+4=10

(x/3)+4 =10

(x/3)=6

x=18

500

find f(3): f(x)=x2−4 


f(3)=32−4 

=9−4 

f(3)= 5

500

factor: x2−5x+6=0

Factor: (x−2)(x−3)=0

Use the zero-product property:

x−2=0 or x−3=0

Therefore: x=2, 3