Math Final Project

Word Problem

100

Forty-nine less than the square of a number equals zero. Find the number.

7

200

The perimeter of a rectangle is 44 inches, and its are is 120 square inches. Find the width and length of the rectangle.

length=12  width=10

300

An apple orchard contains 84 trees. The number of trees per row is 5 more than the number of rows. Find the number of rows

7 rows  (12 trees per row)

400

One number is one less than three times another number. If the product of the two numbers is 102, find the numbers.

17,6

500

Find two numbers whose product is 12 such that one of the numbers is four less than eight times the other number.

12,1

Common Factor

100

Factor Using GCF

44k⁵−66k⁴+77k³

11k³(4k²−6k+7)

200

Factor using GCF

20y⁶−15y⁴+40y² 

5y²(4y⁴−3y²+8)

300

Factor using GCF

12k³−30k⁴

6k³(2−5k)

400

Factor using GCF

14x²+28x⁵ 

14x²(1+2x³)

500

Factor using GCF

9b⁸+24b³

3b³(3b⁵+8)

Factor Trinomial

100

6x²+41+70

(3x+10)   (2x+7)

200

5x²+26x+24

(5x+6)   (x+4)

300

5p²+19p+12

(5p+4) (p+3)

400

10m²+ 23m + 6

(10m+3)   (m+2)

500

6x²+5x+1

(2x + 1) (3x + 1)

Polynomials

100

Find X

5x³=80x

4

200

Factorize the Polynomial:

9b⁸+24b³

3b³(3b⁵+8)

300

Factorize:

k(k−9)−4(k−9)

(k−9)(k−4)

400

Factorize:

3b⁵+15b⁴−18b⁷

3b⁴(b+5−6b³)

500

k²(k−1)−8(k−1) =

(k−1)(k²−8)

Factor Quadratics

100

3x²−20x−7

(3x+1)(x−7)

200

6x²−13x+6

(3x−2)(2x−3)

300

15x²−4x−4=

(5x+2)(3x−2)

400

−3x²+17x−20

(x−4)(−3x+5)

500

−7x²−24x−9

(x+3)(−7x−3)