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MATH 106 6383 Finite Mathematics (2192)
Week 2 Discussion
LINEAR EQUATIONS AND INEQUALITIES  (Basic Mathematics Review, Chapter 5, Sections 5.5 – 5.8, and Chapter 7, Sections 7.2 – 7.7)
Solve for the variable:

(c/2) – 8 = 0
5(m – 3) + 4 = -1
3r + 25 = – 1

3x/4 + 2 = 14
-7(2a-1) = 63
3x + 7 = 5x – 21

4x – 36 + 2 = -6
3y/4 + 16 = 10
4(x+2) = 20

-2(a-3) = 16
6x – 17 = 3
x/7 – 15 = -11

-(8r+1) = 33
4y + 5 = -3
2(3x+1) -5x = 4(x-6) + 17

Solve P =R – C  for R. Find the value of R when P =480 and C =210.
Solve y =5x +8 for x.

Solve 3y −6x =12 for y.
Solve 4y +2x +8=0 for y.

Solve:

Twenty percent of a number is 6 What is the number?

This year an item costs \$106, an increase of 10% over last year’s price. What was last year’s price?

The perimeter of a square is 44 inches. Find the length of a side.

Nine percent of a number is 77.4. What is the number?

Two consecutive integers sum to 63. What are they?

If twenty-one is subtracted from some number and that result is multiplied by two, the result is thirty-eight. What is the number?

If 37% more of a quantity is 159.1, what is the quantity?

A company has determined that it must increase production of a certain line of goods by 112 times last year’s production. The new output will be 2885 items. What was last year’s output?

A lumber company has contracted to cut boards into two pieces so that one piece is three times the length of the other piece. If a board is 12 feet long, what is the length of each piece after cutting?

A television commercial advertises that a certain type of battery will last, on the average, 20 hours longer than twice the life of another type of battery. If consumer tests show that the advertised battery lasts 725 hours, how many hours must the other type of battery last for the advertiser’s claim to be valid?

A statistician is collecting data to help her estimate the number of pickpockets in a certain city. She needs 150 pieces of data and is 34 percent done. How many pieces of data has she collected?

A television commercial advertises that a certain type of light bulb will last, on the average, 200 hours longer than three times the life of another type of bulb. If consumer tests show that the advertised bulb lasts 4700 hours, how many hours must the other type of bulb last for the advertiser’s claim to be valid?

Solve the inequalities for the following exercises.  Express solution set using interval notation, and graph the solution set on a number line (see Content > Course Resources > Webliography to see how to create a number line in a word-processing application)

4x+3>23
(– b/3) ≤4
6a– 6≤−27

−8a≤−88
– 11y+4>15
(16c/3)≥−48