Nth term
Word problems
Polynomials
100

If the pattern is 2,4,7,11,16…

What is the nth term rule for this?

what is 2n+1?

100

Emily has 12 apples and 6 oranges. She wants to pack them in boxes such that each box contains the same number of apples and the same number of oranges. What is the greatest number of boxes she can pack, and how many apples and oranges will each box contain?

You need to find the GCF (greatest common factor)

Answer: 6 boxes, each containing 2 apples and 1 orange.

100

Simplify:

2x+4x−7+32x+4x−7+3


What is (2x+4x)+(−7+3)=6x−4?

200

If this 7,4,1,-2,-5,-8

What is the 20th term?

What is 137?
200

The number of books in a library is increasing in such a way that each month, the number of books added is increasing by 5 more than the previous month. If the library started with 50 books in the first month, how many books were added in the 4th month?

65 books were added in the 4th month.

200

5x^2+3x−45x^2+3x−4 when x=1x=1.

What is (2x+4x)+(−7+3)=6x−4?

300

rule = 3n/2

What are the first 3 terms of the following sequences.

What is 1.5, 3, 4.5?

300

A student is making a rectangular picture frame. The length of the frame is x+3x+3 and the width is x+4x+4. What is the expression for the area of the picture frame?

x2 + 7x + 12

300

(3x^2+2x−5)+(4x^2−3x+7)

what is x+2?

400

If 2n-1/3n+2 is your nth term rule

Then what is the value of term 10 and term 50. 

What is 18.66 and 85.33?

400

A factory manufactures small parts. The cost CC of producing xx parts is given by the expression 2x2+7x+32x2+7x+3. The factory manager wants to factorise this expression to better understand the cost breakdown. Can you help the manager factorise it?


(2x+1)(x+3)

400

(6x^3+4x^2−x)−(3x^3−2x^2+5x)

what is 3x^3+6x^2−6x?

500

If 1/2, 2/5, 3/8, 4/11, 5/14… is the pattern

Find the 56th term

What is 29?

500

A charity is organizing a fundraising event where the total number of donations after nn weeks is given by the formula 4n2−2n4n2−2n. What was the total number of donations made after the 5th week?

50 donations (To find the 5th term, calculate 5s−4s5s)

500

(x+3)(2x−5)

What is 1x-15?

M
e
n
u