Mathematics - PearsonAccess.com

Objective 2How Do You Use Symbols to Represent Unknown Quantities?Represent unknown quantities with variables, or letters such as x or y.Use variables in expressions, equations, or inequalities.Jessica has been saving quarters and dimes in a jar. Write anexpression that represents the amount of money in the jar indollars and cents.● Represent the quantities.Let q the number of quarters in the jar.Let d the number of dimes in the jar.Let 0.25q the value of the quarters in the jar.Let 0.10d the value of the dimes in the jar.● Represent the total amount of money in the jar.value of quarters value of dimes0.25q 0.10dThe expression 0.25q 0.10d represents the amount of money inthe jar.The length of Karen’s rectangular swimming pool is 15 feet greaterthan its width. Her neighbor’s pool is twice as long and 3 feetwider than Karen’s pool. Write an expression that could be usedto represent the perimeter of the neighbor’s pool.● Represent the quantities.Let w the width of Karen’s pool.Let (w 15) the length of Karen’s pool.Let (w 3) the width of the neighbor’s pool.Let 2(w 15) the length of the neighbor’s pool.● Represent the perimeter of the neighbor’s pool.2(length) 2(width)2[2(w 15)] 2(w 3) 2(2w 30) 2(w 3) 4w 60 2w 6 6w 66The perimeter of the neighbor’s pool can be represented by theexpression 6w 66.51