write an algebraic expression that models the given word phrase.
6 times the sum of a and b
6(a + b)
The algebraic expression that models the word phrase "6 times the sum of a and b" is 6(a + b).
To write an algebraic expression that models the phrase "6 times the sum of a and b," we can follow these steps:
Step 1: Identify the variables involved in the problem. In this case, we have two variables - a and b.
Step 2: Determine the operation that relates the variables. The word "sum" indicates that we need to add a and b together.
Step 3: Apply the operation and include the coefficient. The word "times" implies multiplication, so we multiply the sum of a and b by 6.
Putting it all together, the algebraic expression that models the given phrase is: 6(a + b)