7 times a number is the same as 12 more than 3 times a number
The phrase a number means an arbitrary variable, let's call it x.
Algebraic Expression 1:
7 times a number means we multiply 7 by x:
7x
Algebraic Expression 2:
3 times a number means we multiply 3 by x:
3x
12 more than 3 times a number means we add 12 to 3x:
3x + 12
The phrase is the same as means an equation, so we set 7x equal to 3x + 12
7x = 3x + 12 <-- Algebraic Expression
The phrase a number means an arbitrary variable, let's call it x.
Algebraic Expression 1:
7 times a number means we multiply 7 by x:
7x
Algebraic Expression 2:
3 times a number means we multiply 3 by x:
3x
12 more than 3 times a number means we add 12 to 3x:
3x + 12
The phrase is the same as means an equation, so we set 7x equal to 3x + 12
7x = 3x + 12 <-- Algebraic Expression