Digit Word Problems
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Question 1 of 4
1. Question
`4` less than `x` is equal to `22`. Find `x`.- `x=` (26)
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Word problems can be written as equations for easier solving.First, write the word problem as an equation`4` less than `x` is equal to `22` `x-4` `=` `22` Solve for `x``x-4` `=` `22` `x-4` `+4` `=` `22` `+4` Add `4` to both sides `x` `=` `26` `x=26` -
Question 2 of 4
2. Question
The product of `3` and `7y` is `126`. Find `y`.- `y=` (6)
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Word problems can be written as equations for easier solving.First, write the word problem as an equationThe product of `3` and `7y` is `126` `3(7y)` `=` `126` Solve for `y``3(7y)` `=` `126` `21y` `=` `126` `21y``-:21` `=` `126``-:21` Divide both sides by `21` `y` `=` `6` `y=6` -
Question 3 of 4
3. Question
`12` less than `5a` is equal to `83`. Find `a`- `a=` (19)
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Word problems can be written as equations for easier solving.First, write the word problem as an equation`12` less than `5a` is equal to `83` `5a-12` `=` `83` Solve for `a``5a-12` `=` `83` `5a-12` `+12` `=` `83` `+12` Add `12` to both sides `5a` `=` `95` `5a``-:5` `=` `95``-:5` Divide both sides by `5` `a` `=` `19` `a=19` -
Question 4 of 4
4. Question
What are three consecutive numbers whose sum is `72`?- (23)`,` (24)`,` (25)
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Consecutive numbers are numbers that go up by `1`.First, write the word problem as an equation`1`st number: `x``2`nd number: `x+1``3`rd number: `x+2`The sum of three consecutive numbers is equal to `72` `x` `+(``x+1``)+(``x+2``)` `=` `72` Solve for `x``x` `+(``x+1``)+(``x+2``)` `=` `72` `3x+3` `=` `72` `3x+3` `-3` `=` `72` `-3` Subtract `3` from both sides `3x` `=` `69` `3x``-:3` `=` `69``-:3` Divide both sides by `3` `x` `=` `23` `1`st number Solve for `x+1``x+1` `=` `23+1` Substitute `x` `=` `24` `2`nd number Solve for `x+2``x+2` `=` `23+2` Substitute `x` `=` `14` `3`rd number Check our workSlot in the numbers`x``+(``x+1``)+(``x+2``)` `=` `72` `23``+``24``+``25` `=` `72` `72` `=` `72` Since this is true, the three numbers are correct`23,24,25`