1 00:00:00,568 --> 00:00:02,323 Now, let's think about expressions 2 00:00:02,323 --> 00:00:04,079 with more than one variable. 3 00:00:04,125 --> 00:00:06,009 So, let's say I had the expression 4 00:00:06,040 --> 00:00:09,325 "a + b" 5 00:00:09,325 --> 00:00:11,222 and I were to ask you 6 00:00:11,222 --> 00:00:13,042 what is this expression equal to 7 00:00:13,042 --> 00:00:16,000 when "a" is equal to 5 8 00:00:16,000 --> 00:00:19,574 and "b" is equal to 7 9 00:00:19,574 --> 00:00:23,789 Well, in this situation, this expression would be... 10 00:00:23,789 --> 00:00:25,635 instead of an "a" we would have a 5 11 00:00:25,635 --> 00:00:28,004 it would be 5 plus... 12 00:00:28,004 --> 00:00:31,821 instead of a "b", we would have a 7. 13 00:00:31,821 --> 00:00:36,169 So it would be 5 + 7 is equal to 12. 14 00:00:36,214 --> 00:00:38,111 Now let's try another expression. 15 00:00:38,111 --> 00:00:39,751 Let's say we had the expression 16 00:00:39,751 --> 00:00:54,102 "10x - 3y" 17 00:00:54,102 --> 00:00:55,401 And, let's think about 18 00:00:55,401 --> 00:00:57,594 what would this expression evaluate to 19 00:00:57,641 --> 00:01:01,187 when "x" is equal to - 1 20 00:01:01,187 --> 00:01:06,244 and when "y" is equal to 5. 21 00:01:06,291 --> 00:01:07,849 Well, let's just evaluate it. 22 00:01:07,849 --> 00:01:09,998 We have 10 times... 23 00:01:09,998 --> 00:01:10,825 instead of an "x", 24 00:01:10,825 --> 00:01:13,471 we know now that "x" is equal to -1, 25 00:01:13,471 --> 00:01:21,877 it would be 10 (-1) - 3 (5). 26 00:01:21,877 --> 00:01:23,338 So three times... 27 00:01:23,338 --> 00:01:25,630 instead of a "y", we will put a 5 there. 28 00:01:25,630 --> 00:01:28,268 - 3 (5). 29 00:01:28,268 --> 00:01:32,503 And so 10 (-1), that is -10 30 00:01:32,503 --> 00:01:35,727 and we're going to subtract from that 3 (5). 31 00:01:35,727 --> 00:01:37,010 You want to do the multiplication first 32 00:01:37,010 --> 00:01:38,091 by order of operations 33 00:01:38,091 --> 00:01:38,910 that's the convention. 34 00:01:38,910 --> 00:01:43,149 3 times 5 is 15. 35 00:01:43,149 --> 00:01:46,656 So, it is -10 - 15, 36 00:01:46,656 --> 00:01:52,256 which is equal to -25. 37 00:01:52,256 --> 00:01:54,807 And now, you have the next exercise 38 00:01:54,807 --> 00:01:57,992 to practice some of these a little bit more.