7.02 Solutions to equations
For each of the following equations, state whether the given value of x is the solution:
17 + x = 40, \enspace x = 20
32 + x = 58, \enspace x = 26
2 x = 10, \enspace x = 5
\dfrac{x}{9} = 8, \enspace x = 71
\dfrac{x}{10} = 6, \enspace x = 60
8 - x = 10, \enspace x = 2
4 x = -12, \enspace x = -3
x - 30 = 21, \enspace x = 48
x - 18 = 14, \enspace x = 32
7 x = 33, \enspace x = 5
\dfrac{x}{4} = -4, \enspace x = 16
\dfrac{x}{20} = 5, \enspace x = 100
For each of the following, state whether the given value of the pronumeral is the solution of the equation:
Determine whether the following equations have p = 8 as a solution:
Determine whether the following equations have r = 48 as a solution:
Determine whether the following equations have y = 8 as a solution:
Which of the following is the solution to the equation x-10 = 30?
Consider the equation 56 - t = 39.
Which side of the equation is bigger when substituting t = 10?
Should we try a smaller or larger number than 10 to solve the equation?
Which side of the equation is bigger when substituting t = 20.
Hence, what can be said about the solution of the equation?
Consider the equation 2 u = 70.
Which side of the equation is bigger when substituting u = 30?
Should we try a smaller or larger number than 30 to solve the equation?
Which side of the equation is bigger when substituting u = 40?
Hence, what can be said about the solution of the equation?
Consider the equation m - 17 = 12.
Complete the table:
| \enspace m | 25 | 26 | 27 | 28 | 29 | 30 |
|---|---|---|---|---|---|---|
| m-17 |
Hence, what value of m will make the equation true?
Consider the equation 4k = 96.
Complete the table:
| \enspace k | 20 | 21 | 22 | 23 | 24 | 25 |
|---|---|---|---|---|---|---|
| 4k |
Hence, what value of k will make the equation true?
Use trial and error to find the solution of each of the following equations: