WEBVTT 00:00:01.881 --> 00:00:13.000 We're asked to evaluate the expression a squared plus ten b minus eight when a is equal to seven and b is equal to negative four. 00:00:13.000 --> 00:00:19.267 So to evaluate the expression we really just need to substitute a with 7 and substitute b with negative 4. 00:00:19.267 --> 00:00:24.133 Because they are saying evaluate it when a is seven and b is negative four. So let's do that. 00:00:24.133 --> 00:00:29.400 So everywhere we see an a in the expression we should put a seven there. So instead of a squared 00:00:29.400 --> 00:00:42.267 we should write seven squared plus ten times b. But instead of a b there we are 00:00:42.267 --> 00:00:50.400 now going to substitute it with b is equal to negative four. So ten times negative four instead of the 00:00:50.400 --> 00:00:58.533 b right over there. And then we have the minus eight. And now we just have to evaluate this thing. 00:00:58.533 --> 00:01:07.467 Seven squared is forty-nine. And then ten times negative four, remember order of operations. 00:01:07.467 --> 00:01:12.400 Multiplication comes before addition so we have to multiply this. Ten times negative four is 00:01:12.400 --> 00:01:22.000 negative forty. So it's plus negative forty, and then we have minus eight over here. 00:01:22.000 --> 00:01:28.933 And so we get forty-nine plus negative forty, which is the same thing as forty-nine minus forty, is going 00:01:28.933 --> 00:01:35.000 to be nine. Then we're going to subtract eight from that. And so we get one. 00:01:35.000 --> 00:01:40.600 Forty-nine minus forty is nine, and minus eight is one. We are done. 00:01:40.600 --> 99:59:59.999 We have evaluated the expression when a is equal to seven and b is equal to negative four.