Exercise 27 Page 8

We are asked to make an algebraic expression for the given verbal expression. 8 minus the product of 9 and r The key phrases are the product of and minus. They indicate multiplication and subtraction, 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 together are 9 and an arbitrary number r. Since 9 comes first in the verbal expression, it should be on the left-hand side of the multiplication. & the product of 9 and r & 9 * r Also, when multiplying a number with a variable, we can omit the multiplication sign giving us 9r. Finally, we have the second key phrase, ... minus .... This indicates that we should decrease one term by the other using subtraction. &... - ... The two quantities that we are subtracting are 8 and 9r. Since 8 comes first in the verbal expression, it should be on the left-hand side of the subtraction. & 8 minus 9r & 8 - 9r Note that this is only one of multiple ways to algebraically express the given verbal expression.