Functions
Exponential Functions
Sequence
Inequalities
Systems of Equations
200

What is (f-g) (x) 

f(x)=-3x+5

g(x)=-2x2

2x2-3x+5

200

(6,2187) and (3,81)

y=3(3)x

200

Maria is saving for a new bicycle that costs $150 she starts with $30 in her piggy bank. Every week, she adds money to the piggy bank. How many weeks will it take her to reach her goal.

It will take Maria 9 weeks to save enough money for the bike.

200
Solve the inequality for x:
x + 7 < 12

x < 5

200

At a local café, 2 cups of coffee and 1 bagel cost a total of $8.50. Meanwhile, a customer in front of you orders 3 cups of coffee and 2 bagels, which comes to a total of $14.00. Find the individual price of a single cup of coffee and a single bagel.

A cup of coffee costs $3.00 and a bagel costs $2.50

400

What is (f-g) (x) 

f(x)=2x2-2

g(x)=x

2x2-x-2

400

(1,25) and (-1,4)

y=10(2.5)x
400
Find the formula for the nth term of the quadratic sequences:3, 8, 15, 24, 35....

n+2n



400
Solve for y:
4y - 5 > 11


y > 4

600

What is (f-g) (x) 

f(x)=-x2

g(x)=-3x+2

-x2-3x+2

600

(-2,0.72) and (1,11.25)

y=4.5(2.5)x

600

You start a new job and the company offers annual starting salary of 50,000 to keep up with inflation the guaranteed arrays of 2,500 every single year. What will your annual salary be in your 10th year?

In your 10th year, your annual salary will be $72,500

600
5n - 8 > 2n + 4

n > 4

800

What is (f-g) (x) 

f(x)=x2-x

g(x)=-3x

x2-4x

800
(-2,10.24) and (3,31.25)

y=16(1.25)x

800

Problem: A theater has 20 rows of seats. The first row has 20 seats, the second row has 21 seats, the third row has 22 seats, and so on. If each row adds one more seat than the previous, how many total seats are in the theater?

Answer: 590 seats

800
5n - 8 > 2n + 4

n > 4

1000

A local Gym charges a $50 sign-up fee plus $200 per month. how much you will pay after 6 months

After 6 months you will pay a total of 170

1000

You buy a new car for 30,000. Its value decreases by 12% each year. How much will the car be worth in 5 years.

After 5 years the car will be worth approximately $15,831

1000

A population of 500 bacteria doubles every hour. How many bacteria will there be after 6 hours?

Answer: 32,000 bacteria

1000
A local car rental company charges \(\$35\) plus $0.25 per mile driven. If you have a budget of at most $100, write and solve an inequality to find the maximum number of miles m you can drive.

m greater than or equal to 260 miles