1 4 -1 5 Notes Translating Words into

1. 4 -1. 5 Notes Translating Words into Symbols & Translating Sentences into Equations

+ Addition Sum Plus More than Increased by Subtraction Minus Difference Less than Decreased by X Multiplication Product Times of Division Quotient Divided by

Example 1 Translate each phrase into a variable expression. ½x-3 1. 3 Less than Half of x 2. Half the difference between x and 3 3. Eight more than twice a number ½ (x – 3) 2 x + 8

Formulas- equations that state rules about relationships. Area of Rectangle: A=LW Perimeter of Rectangle: P = 2 L + 2 W Distance: D= r t Cost: C= np

Example 3 Find the area and perimeter of a rectangle with length 10 and width w. A=LW A = 10 W P = 2 L + 2 W P = 2(10) + 2 W P = 20 + 2 W

Example 4 You and your friends buy 2 pizzas at p dollars each and 4 salads at s dollars each. How much do you and your friends spend? C=np C = 2 P + 4 S

Example 5 You travel (h + ½) hours at 80 Km/h. How far do you travel? D=rt D = 80 * (h + ½)

Translate each sentence into an equation. Twice the sum of a number and 4 is ten. 2 (n + 4) = 10

When a number is multiplied by four and the result is decreased by six, the final result is 10. 4 x – 6 = 10

Three less than the number x is 12. X – 3 = 12 Hint: Less than and More than you reverse the order

Use the figure to write an equation. Perimeter = 14 4 4 x P = sum of sides 14 = x + 4 14 = x+8

The distance traveled in three hours of driving was 240 km. D=rt 240 = r 3 240 = 3 r r = 240/3

HW #3 Pg. 16 – 17 (1 -25 odd; 37 -41 odd) Pg. 20 -21 (1 -21 odd)