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You need to focus on the key words in the problem.
Increased = go up, add.
Twice = two times, double.
A number = an unknown number which can be represented by a variable, usually x.
Now that you know the meaning of the key words you can read the problem differently. "49 add by two times x"
When you change your words into operations (+ - x /) you get 49+2x (Remember that when a known number is right next to a variable it means to multiply, times).
49 increased (added) by two-times a number (N):
49 + 2 x N = ?
A number could be x in algebra.
So, twice the number is 2x in algebra.
49 is 49.
49 increased by twice the number implies 49 plus 2x or 49+2x.
Therefore,49+2x is as good as 49 increased by twice the number in algebra.
Increase means to add.
Twice means two times.
A number can be a variable.
Therefore, you have 2x + 49
2x + 49
49 increased by twice a number
Twice a number = 2x
increase that by 49
2x + 49
49+ 2x...you can use any variable you would like if one is not given to represent two times a number but please dont use the multiplication symbol between 2 and the variable....you're in 11th grade!
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