We can use a variable to represent an unknown number.
10(1/2x+6)=8
Practice makes perfect
When translating a verbal phrase into an algebraic equation, first take note of where the equals sign should be placed. In a verbal description of an algebraic statement, "is" or "is equal to" tells us where an equals sign is located.
... = ...
The key words to note on the left-hand side of the equals sign are "times" and " the sum of ... and." This indicates that we are adding two terms and then multiplying them. We will use parentheses to show the order of operations.
... * ( ... + ... ) = ...
We are finding "ten times the sum of half a number and 6." Recall that we can use variables to represent unknown numbers. Let's use x to represent " a number."
10*(1/2 x + 6 ) = ...
Finally, we will complete the equation with the integer 8 on the right-hand side of the equals sign.
Tentimes the sum of half a number and 6 is 8.
10*(1/2 x + 6 ) = 8
