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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?

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