5.01 Solutions to equations
For each of the following, state whether the given value of the variable is the solution of the equation:
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
x - 30 = 21, \enspace x = 48
x - 18 = 14, \enspace x = 32
7 x = 33, \enspace x = 5
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:
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?
What can be said about the solution of the equation?
Consider the equation y + 20 = 36.
Which side of the equation is bigger when substituting y = 12?
Should we try a smaller or larger number than 12 to solve the equation?
Which side of the equation is bigger when substituting y = 22?
What can be said about the solution of the equation?
Consider the equation 56 - t = 39. State whether or not the following can be said about the solution of the equation:
The solution to the equation lies between 10 and 20.
The solution to the equation does not exist.
The solution to the equation is larger than 20.
The solution to the equation is smaller than 10.
Consider the equation m - 17 = 12.
Complete the table:
What value of m is a solution of the equation m - 17 = 12?
| m | 26 | 27 | 28 | 29 |
|---|---|---|---|---|
| m-17 |
Consider the equation t + 19 = 35.
Complete the table:
What value of t is a solution of the equation t + 19 = 35?
| t | 16 | 17 | 18 | 19 |
|---|---|---|---|---|
| t+19 |
Consider the equation 5 j = 120.
Complete the table:
What value of j is a solution of the equation 5 j = 120?
| j | 21 | 22 | 23 | 24 |
|---|---|---|---|---|
| 5j |