Functions and Solving Linear Equations

Linear functions

1

Find h(-2) 

if h(x) = 2x-1

h(-2) = 2(-2) - 1

h(-2)=-5

2

Function V gives numbers of visitors at a store h hours after it opens. V(h)=2h+4

Find V(1) and explain what your answer represents.

V(1)=6

After 1 hour, there are 6 visitors.

3

Milo's weight in pounds is represented by function W(m) where m is the amount of months since he was born.

What does W(2) represent?

Milo's weight after 2 months

4

Function P gives the population of a town (in thousands) x years after 2025. P(x)=16+x

Explain what P(2)=18 represents in this situation:

In 2027, there are 18,000 people in the town.

5

Function V gives numbers of visitors at a store h hours after it opens. V(h)=2h+4

How many hours has the store been open for if there are 8 visitors? 

2 hours

V(2)=2(2)+4=8

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

Least common M&M color?

Brown.

4

(x/2)+8=10

x= 4

5

(x/3)-3=-3

x= 0

Mixed Equations

1

Solving Equations

x - 2 = 6

x = 8

2

What are the two most common spices in the world?

Pepper and mustard

(Spices come from plants)

3

Which is the only NFL team to go a whole season undefeated, including the Super Bowl?

Miami Dolphins (1972)

4

Solving Equations

5(m-3) = 4

m = 19/5

5

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

1

x + 3 + 3x = 7

x = 1

2

5 + 5x - 1 = 29

x = 5

3

-45 = 3x + 4 + 4x

x = -7

4

What is the only state in the United States that is only one syllable long?

Maine

5

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

1

4x - 2 = 3x + 5

x = 7

2

2(x - 4) = 5x + 4

x = -4

3

Of the 12 dogs on the Titanic when it sank, how many survived?

12

4

4x+8=4x-2

NO SOLUTIONS

5

6x - 15 + 4x = 5(2x - 3)

Infinitely many solutions