Functions
Arithmetic Sequence
Advanced Systems
Percent
Quadratics&Absolute Value
100

f(x)=34x+17

Find f(2.1)

88.4

100

Is this arithmetic Sequence?

23,27,31,36,40,44,48,52,56,60?

No

100
  • x + y = 5
  • xy = 6

x=2

y=3
or the other way around

100

What is 15% of 45?

6.75

100

x2-5x-6=0

What is the product and sum of the roots?

product=-6

Sum=5

200

f(x)=45x-89
g(x)=x2-1


Find f(g(4))

586

200
Is it true in Arithmetic Sequence?


a1+a3=2*a2

Yes

200
  • x2 + y2 = 25
  • xy = 12

x=3

y=4 or the other way around

200

If 35% of a number is 70, what is the number?

200

200

2x2+x-6=0

What is the square of the sum of the roots?

1/4

300

f(x)=(x+65)1/2

Find the range of the function

greater or equal to 0

300

The 7th term of an arithmetic sequence is 32, and the 15th term is 64. Find the sum of the first 25 terms of the sequence.

1400

300
  • x2 - y2 = 16
  • 2x + y = 5

No solution

300

If a product is discounted by 25% and the sale price is $75, what was the original price?

100

300

The length of a rectangular garden is 3 meters more than its width. The area of the garden is 40 square meters. Find the dimensions of the garden.

5 and 8

400

f(x+12)=3x+96

Find f(18)=

114

400

The sum of the first 10 terms of an arithmetic sequence is 125, and the common difference is 3. Find the 20th term.

56

400
  • x2 + xy + y2 = 7
  • x + y = 3

(1,2) and (2,1)

400

A store offers a discount of 20% on all items. If a customer buys an item that originally costs $150, how much is the discount, and what is the final price?

$30 discount
$120 final price

400

The product of two consecutive odd integers is 195. Find the integers.

(-15, -13) and (13, 15).

500

Find the domain of the funtion


g(x)=(16x2+56x+49)1/2

x>-7/4

500

The sum of the 10th and 20th terms of an arithmetic sequence is 60. The product of the 5th and 15th terms is 225. Find the sum of the first 30 terms of the sequence.

1091.25

500

If all your team members did all the homework, then you can get your 500 points!

Hope you got your points)

500

A store has a pair of shoes on sale for 20% off. A customer uses a coupon for an additional 15% off the sale price. If the original price of the shoes was $120, what is the final price after both discounts are applied?

81.60

500

|3x - 5| ≤ 7
How many integers are in the solution set?

6