Functions
Exponential Functions
Sequence
Inequalities
System's of Equation
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

A taxi charges $1.75 flat rate plus $0.65 per mile. You have a maximum of $10 to spend. How many miles can you travel?

Because you can only travel whole or fractional miles, you can travel up to 12.69 miles

200

3x+2y+13

x-2y+3

The solution is (4,1/2) or (4,0.5)

400
You have a $10 mail-in coupon for a clothing store, and the store is also offering a 20% off coupon for all items. Let x be the original price of an item. If the original price of a jacket is , what is the final price if you apply the  coupon first, and then apply the  discount?


The final price of the jacket is $32.00

400

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

y=10(2.5)x
400

Find the 50th term and the explicit formula for the arithmetic sequence: 17,23, 29, 35,...

the 50th term is 311

400

You rent a moving truck for the day. The rental agency charges a flat fee of $20, plus $0.45 for every mile. You want to keep your total rental cost strictly under $120. Write and solve an inequality to determine how many miles you can drive.

 You can drive for a maximum of 222 miles while staying under budget.

400

A movie theater sells adult tickets for $12 and child tickets for $8 For a specific screening, a total of 145 tickets were sold, bringing in $1480. How many adult tickets and how many child tickets were sold?

Adult tickets: 85

Child tickets: 60

600

What is (f-g) (x) 

f(x)=-x2

g(x)=-3x+2

-x2-3x+2

600
A population of a small town starts at 2,500 people. The population grows at a rate of 3.5% each year. What will the population be after 8 years?

The population will be approximately 3,292 people after 8 years.

600
Find the formula for the nth term of the quadratic sequences:3, 8, 15, 24, 35....


n2 +2n

600
Solve for y:
4y - 5 > 11

y > 4

600

2x+3y=6

4x+6y+12

There are infinitely many solutions

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

 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?

590 seats

800
5n - 8 > 2n + 4

n > 4

800

A boat travels 48 miles downstream (with the current) in 3 hours. Traveling upstream (against the same current), the return trip takes 4 hours. What is the speed of the boat in still water, and what is the speed of the current

Speed in still water: 14 

Speed of the current: 2

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

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

1000
Solve the inequality for x:
x + 7 < 12

x < 5

1000

5x+2y=7

10x+4y=-3

There is no solution

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