Module 4

I have tried to this on my own and somehow I still get it wrong.. This is due by Mid (California Time). When you have completed it. Could you please email it to me. 

  

Thank you for the help once again. 🙂

Module 4 Homework Assignment 1

Module 4 Homework Assignment 1

MAT 110: Beginning Algebra

Daniel S. Bernardez

Ms. Carrie Dugan

August 16, 2013

Directions: Please show all of your work for each problem. If applicable, you may find Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your work and scanning it.

1.
Find the greatest common factor. 4, 6, 12.

2.
Factor. 24×3 + 30×2

3.
Factor out the GCF with a negative coefficient. –24m2n6 – 8mn5 – 32n4

4.
Factor completely by factoring out any common factors and then factoring by grouping.

6×2 – 5xy + 6x – 5y

5.
The GCF of 15y + 20 is 5. The GCF of 15y + 21 is 3. Find the GCF of the product (15y + 20)(15y + 21).

6.
The area of a rectangle of length x is given by 15x – x2. Find the width of the rectangle in terms of x.

7.
Factor the trinomial completely. x2 + 8x – 9

8.
Factor the trinomial completely. 2×2 + 16x + 32

9.
Complete the following statement. 6a2 – 5a + 1 = (3a – 1)(__?__)

10.
State whether the following is true or false. x2 – 7x – 30 = (x + 3)(x – 10)

11.
Factor completely. x2 + 11x + 28

12.
Factor completely. 15×2 + 23x + 4

13.
Factor completely. 6z3 – 27z2 + 12z

14.
The number of hot dogs sold at the concession stand during each hour iih after opening at a soccer tournament is given by the polynomial 2h2 – 19h + 24. Write this polynomial in factored form.

15.
Find a positive value for k for which the polynomial can be factored.
x2 – kx + 29

16.
Factor completely.
9×2 + 4

17.
Determine whether the following trinomial is a perfect square. If it is, factor the binomial.x2 – 12x + 36

18.
Factor completely. 25×2 + 40xy + 16y2

19.
Factor.
s2(t – u) – 9t2(t – u)

20.
State which method should be applied as the first step for factoring the polynomial. 6×3 + 9x

21.
State which method should be applied as the first step for factoring the polynomial. 2a2 + 9a + 10

22.
Solve the quadratic equation. 5×2 + 17x = –6

23.
Solve the quadratic equation.
3x(2x – 15) = –84

24.
The sum of an integer and its square is 30. Find the integer.

25.
If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm2. What were the dimensions of the original square?

26.
Write in simplest form.

8
14
9
27
x
x

27.
Write in simplest form.

2
2
– 6+ 8
16
xx
x
–

28.
Write the expression in simplest form.

4 – 8 + 32
4 – 2 + 8
zyzy
yzzy
–
–

29.
The area of the rectangle is represented by 5×2 + 19x + 12. What is the length?

5x + 4

30.
Multiply.
3
8
98
2
x
x
×

31.
Multiply.
2
3127
– 54
xx
xxx
–
×
–

32.
Divide.
26515
2112
xx
—
¸

33.
Divide.
(
)
22
2
2
4
+ 2
6– 12
xy
xxy
xxy
–
¸

34.
Perform the indicated operations.

22
22
– 9368
4 – 244 – 36 + 5 – 6
xxxx
xxxxx
–
××

35.
Find the area of the rectangle shown.

36.
Subtract. Express your answer in simplest form.

7
2020
xx
–

37.
Subtract. Express your answer in simplest form.

312
44
x
xx
–
—

38.
Add. Express your answer in simplest form.

2
3 – 70
– 7– 7
xx
xx
+

39.
Add. Express your answer in simplest form.

2
810
ss
+

40.
Add or subtract as indicated.

2
112
+ 6 – 636
r
rrr
-+
–

41.
One number is 8 less than another. Let x represent the larger number and use a rational expression to represent the sum of the reciprocals of the two numbers.

42.
Simplify.
8
20
4
6

43.
Simplify.
10
30
a
b
b
–

44.
What values for x, if any, must be excluded in the following algebraic fraction?

– 2
7
x

45.
What values for x, if any, must be excluded in the following algebraic fraction?

2
2
914
x
xx
+
-+

46.
Solve for x.
5
x
+ 6 = 1

47.
Solve for x.
3
+ 5
– 3– 3
x
xx
=

48.
Solve for x.
26
7
x
=

49.
One number is 3 times another. If the sum of their reciprocals is
2
9
, find the two numbers.

50.
A 5-foot pole casts a shadow of 4 feet. How tall is a tree with a shadow of 16 feet?

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