These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 textbook (Glencoe Algebra 1 — ISBN: 9780028253282) into html format.

 

Study Guide
Multiplying a Polynomial by a Monomial

 

The examples below show how the distributive property can be used to multiply a polynomial by a monomial. Examples 2 and 3 show that many equations must be added, subtracted, or multiplied before reaching the final solution.

 

Directions: Find each product.

10a + 15b

12x2 − 6xy

−4a2 + 4b2

8b4 − 4b2

−⅕ t4 + ⅕ t3 − t2

¼ xy + ½ y2

Directions: Solve each equation.

9. 3(x + 5) −6 = 18

 

 

3

10. 3x(x − 5) − 3x2 = −30

 

 

2

11. (4y − 3) − 8y + 6 = 19

 

 

−4

12. Ria's corn field has a perimeter of 18,000 meters. The length of one side is 3 meters less than twice the width. What are the dimensions of the field?

 

 

5999 meters by 3001 meters

  

13. Three sides of a triangle have measures that are consecutive even integers. What are the lengths of the sides if the perimeter is 114 meters?

 

 

36 meters, 38 meters, 40 meters

 

Copyright 1997-1999: html adaptation
Career Connection to Teaching with Technology