Quadratic Expressions.

Adding Polynomials

100

(4 - 2n³)+(5n³+ 2)       

What is  3n³+6 ?

200

(5p² - 3) + (2p² - 3p³ )      

What is  -3p³ +7p² -3 ? 

300

(2c² + 6c + 4) + (5c² - 7)            

What is  7c² + 6c - 3 ?  

400

(-x⁴ +13x⁵ + 6x³) + (6x³ + 5x⁵ + 7x⁴)           

What is  18x⁵ + 6x⁴ +12x³ ?

500

( -5u³v⁴ + 9u) + (-5u³v⁴ - 8u + 3u⁴v² ) + (8u⁴v² + 8u³v⁴ )                       

What is  -2u³v⁴  + u + 11u⁴v² ?   

Subtracting Polynomials

100

(3a² + 1) - (4 + 2a²)                         

What is  a² -3 ?  

200

( 4n - 3n³) - (3n³ + 4n)                        

What is  -6n³ ?  

300

(3 - 6n⁵ - 8n⁴) - (-6n⁴ - 3n - 8n⁵)                     

What is  2n⁵ - 2n⁴ -3n + 3 ?  

400

(-8xy + 3x² - 5y) - (4x² -2y + 6xy)                                

What is  -14xy - x² -3y ?  

500

(6y³ -7x⁴y⁴) - (-10x⁴y³ + y³ + 4x⁴y⁴) - (x⁴y³ - 6x⁴y⁴)                                                  

What is  5y³ - 5x⁴y⁴ +9x⁴y³ ?   

Multiplying by a Monomial

100

7 (-5v + 8)

What is  -35v + 56 ?  

200

2x (2x - 3)

What is  4x² -6x ?  

300

6g² (3g³ +4g² + 10g - 1)                              

What is  18g⁵ + 24g⁴ + 60g³ - 6g²  ?      

400

2ab (7a⁴b² + a²b - 2a)                            

What is  14a⁵b³ + 2a³b² - 4a²b ?                

500

-3cd³ (5cd² - 3c³d² - 4d³)               

What is  -15c²d⁵ + 9c⁴d⁵ + 12cd⁶ ?               

Multiplying Polynomials

100

(x + 5)(x + 2)

What is  x² +7x + 10 ?  

200

(b - 7)(b + 3)

What is   b² - 4b - 21 ? 

300

(2a + 9)(3a - 5)                   

What is  6a² + 17a - 45 ?  

400

(4y² - 3)(4y² + 7y + 2)                            

What is  16y⁴ + 28y³ - 4y² - 21y - 6 ?                               

500

(2n² + 3n - 6)(5n² -2n - 8)                      

What is  10n⁴ + 11n³ -52n² - 12n + 48 ?               

Word Problems

100

Each side of a square x units long is decreased by 9 units. Which expression represents the area of the new square in square units?

What is  x² – 18x + 81 ?

200

A square is changed into a rectangle by increasing the length of the square by 5 units and increasing the width by 3 units. Which expression represents the area of the resulting rectangle in square units?

What is  x² + 8x + 15 ?

300

Write an expression for the area of a triangle with a base of  2x + 3  and a height of  3x - 1.     

What is  3x² + (7/2)x -(3/2) ?

400

The measures of two sides of a triangle are x² - y and 2x² + x - 5y  . If the perimeter of the triangle is  6x² + 8y, find the measure of the third side.

What is 3x² - x + 14y ?     

500

The perimeter of a triangle can be represented by the expression  3x² -7x + 2.  Write a polynomial that represents the measure of the third side if given 2 other sides are  x² - x - 4  and  2x² -10x + 3.           

What is  4x + 3 ?