# Algebra Homework Help

Please see attached for the full details of the problems:

WEEK 2 DQ 1

1. When simplifying like terms, how do you determine the like terms?

2. How do you determine the common factors in an expression?

3. What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms?

4. What is a common factor? Where do you use the common factor in an expression consisting of various terms?

WEEK 2 DQ 2

1. When simplifying a rational expression, why do you need to factor the numerator and the denominator?

2. When adding and subtracting rational expressions, why do you need a LCD?

3. When a polynomial is not factorable what is it called? Why?

4. Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor?

INDIVIDUAL HOMEWORK

Section 5.2

Factoring a Difference of two squares

#16

Section 5.4

Factor each trinomial using the ac method

#38

5.5

Factoring strategy

#82

TEAM HOMEWORK

5.1

#94

Area of a painting. A rectangular painting with a width of

x centimeters has an area of square centimeters.

Find a binomial that represents the length.

# 96

Amount of an investment. The amount of an investment

of P dollars for t years at simple interest rate r is given by

.

a) Rewrite this formula by factoring out the greatest

common factor on the right-hand side.

b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%

5.3

#110

Area of a sail. The area in square meters for a triangular

sail is given by

a) Find A(5).

b) If the height of the sail is meters, then what is

the length of the base of the sail?

5.4

#112 (noel)

Decreasing cube. Each of the three dimensions of a

cube with sides of length s centimeters is decreased by a

whole number of centimeters. The new volume in cubic

centimeters is given by

.

a) Find V(10).

b) If the new width is centimeters, then what are the

new length and height?

c) Find the volume when by multiplying the

length, width, and height.

5.6

#74

Rectangular stage. One side of a rectangular stage is

2 meters longer than the other. If the diagonal is 10 meters,

then what are the lengths of the sides?

5.6

#92

Throwing a wrench. An angry construction worker throws

his wrench downward from a height of 128 feet with an

initial velocity of 32 feet per second. The height of the

wrench above the ground after t seconds is given

by .

a) What is the height of the wrench after 1 second?

b) How long does it take for the wrench to reach the

ground?

#### Solution Summary

This posting contains the solution to the posted problems.