What is the solution of each equation? Use mental math.
How can you find the solution of an equation?
You can use mental math to find a value that makes the equation true.
Think | Solution | Check | |
---|---|---|---|
A x + 8 = 12 | What number plus 8 equals 12? | 4 | 4 + 8 = 12 ✓ |
B
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What number divided by 8 equals 9? | 72 |
|
✓ Got It?
What is the solution of 5n + 8 = 48? Use a table.
How can you start?
You can use mental math to quickly check values like 0, 1, and 10. Use these results to choose a reasonable starting value for your table.
Make a table of values. Choose a starting value using mental math. 5(1) + 8 = 13 and 5(10) + 8 = 58, so 1 is too low and 10 is too high.
✓ Got It?
What is an estimate of the solution of
To estimate the solution, find the integer values of x between which the solution must lie.
Can identifying a pattern help you make an estimate?
Yes. Identify how the value of the expression changes as you substitute for the variable. Use the pattern you find to work toward the desired value.
✓ Got It?