Understanding Mathematical Terms

Refer to the English-Spanish Glossary, which starts on textbook page A39, if you need help with a definition or finding a textbook page with an example for a vocabulary word.

Explorations

Read and work through the Explorations 1 and 2 and Communicate Your Answer on page 219. You will set up a system and then solve it using a table. Then, check your answers below.

Answers to Explorations and Communicate Your Answer

Exploration 1 (page 219)

1. C = 15x + 600
2. R = 75x
3. C = 15x + 600, R = 75x

Exploration 2 (page 219)

1. 
   

   x (nights)	0	1	2	3	4	5
   C (dollars)	600	615	630	645	660	675
   R (dollars)	0	75	150	225	300	375

   
   
   

   x (nights)	6	7	8	9	10	11
   C (dollars)	690	705	720	735	750	765
   R (dollars)	450	525	600	675	750	825

2. 10 nights

3. 

Communicate Your Answer (page 219)

3. Graph both equations and find the point of intersection; Substitute the x-coordinate for x in both of the equations and verify that both results are the y-coordinate for the point of intersection.

    

4. a. (–1, 3); Sample answer: table because decimals are difficult to graph
   b. (2, 2); Sample answer: graph because it is easier to draw
   c. ; Sample answer: graph because it is easier to draw

Section 5-1 Lesson (pages 220-222)

In this lesson, you will solve a system of linear equations using graphing. Study and read through Examples 1 through 3. Example 1 gives you an ordered pair to test in a system. You will graph a system in Examples 2 and 3 to find the solution. Practice with the Monitoring Progress problems as you go, and then check your answers below.

Answers to Monitoring Progress (pages 220-222)

1. Yes
2. No
3. (3, 1)
4. (–4, 1)
5. (2, 1)
6. 12 math problems, 6 science problems