Objective translate verbal phrases into expressions.
Section 1.3, Write Expressions a collection of numbers and or variables that can be linked by +, -, x, and ÷ 5 ÷ x 13 * 22 - 14 y² – 8 11 x 9
Writing Expressions Operation Verbal Phrase Expression Addition Subtraction Multiplication Division Sum, plus, total, more than, increased by 5 + n k + 12 Difference, less than, minus, decreased by 12 – p x – 12 Product, times, of, multiplied by 3 x 5 3d (n)(w) p ∙ k Quotient, divided by, divided into k/7 14 ÷ r
Translate verbal phrases into expressions 4 less than the quantity 6 times a number n 6n – 4 b. 3 times the sum of 7 and a number y 3(7 + y) c. The difference of 22 and the square of a number m 22 – m2 10 + x 2 d. The quotient when the quantity 10 plus a number x is divided by 2
RATE – a fraction that compares two quantities of different measurement. Examples of rates: speed, distance, wages 45miles hour 5 meters second 8 dollars hour A UNIT RATE is a rate that has a denominator of 1.
Finding a Unit Rate EXAMPLE 4 A car travels 110 miles in 2 hours. Find the unit rate. 110 miles 2 hours = 1 hour 55 miles 2 hours 2 110 miles 2
Your basic monthly charge for cell phone service is $30, which includes 300 free minutes. You pay a fee for each extra minute you use. One month you paid $3.75 for 15 extra minutes. Find your total bill if you use 22 extra minutes. STEP 1 Calculate the unit rate. 15 3.75 = 0.25 1 = $.25 per minute STEP 2 Write a verbal model and then an expression. Let m be the number of extra minutes. 30 + 0.25 m STEP 3 Evaluate the expression when m = 22. 30 + 0.25(22) = 35.5 Total Bill: $35.50