8. An Introduction to Equations
Sign In
Use mental math to guess the starting value for the table.
Between -3 and -2.
This is not the easiest thing to calculate in our heads. Let's solve this equation using a table. In order to choose a good starting point for our table, let's pretend that the equation is 5a=-16. What multiplied by 5 would get us close to -16? -3 or -4 would be equally valid, so let's try those. We should also try one digit less and one digit greater, just to be on the safe side.
a | 5a-4 | = |
---|---|---|
-2 | 5( -2)-4 | -14 |
-3 | 5( -3)-4 | -19 |
-4 | 5( -4)-4 | -24 |
-5 | 5( -5)-4 | -29 |
Since our equation is 5a-4=-16 and -19<-16<-14, we know that the solution lies between -3 and -2. -3