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7.1 Goal: Writing Expressions and Equations. A Little Christmas Town. Defining . Translating Phrases and Sentences. Example 1: Translating Verbal Phrases. Verbal phrase Expression A number increased by 5 7 less than a number 3 more than twice a number 4 decreased by the quotient
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7.1 Goal: Writing Expressions and Equations A Little Christmas Town
Defining • Translating Phrases and Sentences
Example 1: Translating Verbal Phrases • Verbal phrase Expression • A number increased by 5 • 7 less than a number • 3 more than twice a number • 4 decreased by the quotient of a number and 7
Example 2: Translating Verbal Sentences • Verbal phrase Expression • 16 increased by a number is 27. • The difference of twice a number And 3 equals -4. c. The product of ½ and a number is 36. d. -3 equals to twice the sum of a number and 2.
Your Turn!!: Let n represent the number • Verbal phrase Expression • 14 added to a number. • ½ of a number decreased by 22 c. 42 divided by a number equals 7 d. 5 minus twice a number is 17
Defining Cont.. • You can use verbal models to solve real –world problems. A verbal model uses words to describe ideas and math symbols to relate the words.
Example 3: Writing and Solving an Equation • To find the height of the stalagmite; you can write and solve an equation. First write a verbal model. Let h represent the height of the stalagmite. Height of the + Distance between tip = Depth Stgalamit of stalagmite and of water water surface
Your turn!! • While hiking you descend 2000 feet from the start of a trail to an elevation of 5200 feet. Write and solve an equations to find the elevation at the start of the trail.
Daily Puzzler • If 3! = 3 X 2X 1 and 5!= 5 X 4 X 3 X 2 X 1, • Evaluate 10! 8!