Exercise 16 Page 7

We are asked to write an algebraic expression for the given verbal expression. The key phrases are less than and the product of. They indicate subtraction and multiplication, respectively. When we have an expression that contains both subtraction and multiplication, we should start with multiplication according to the order of operations. Let's first rewrite the product of ... and .... ... *... The two terms that we are multiplying are 37 and an arbitrary number t. Since 37 comes first in the verbal expression, it should be on the left-hand side of the multiplication. & the product of 37 and t & 37 * t Also, when multiplying a number by a variable, we can omit the multiplication sign giving us 37t. Finally, we have the second key phrase, ... less than .... This indicates that we should decrease one term by the other using subtraction. &... - ... The two terms of the subtraction are 9.85 and 37t. We are decreasing the term 37t by the other term, so it should be written first in the subtraction. & 9.85 less than 37t & 37t - 9.85 Note that this is only one of multiple ways to algebraically express the given verbal expression.