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SECTION 2.1 WRITING EQUATIONS – DAY 1 translate sentences into equations translate equations into sentences SWBAT:

Definitions Formula: A rule for the relationship between certain quantities Ex: A = bh (area = base x height)

Writing Verbal Equations WORDS VARIABLE EQUATION The length of each lap times the number of laps is the length of the race. Let l = laps 25 . l = 500

Examples: Seven times a number squared is five times the difference of k and m. 2. Fifteen times a number subtracted from 80 is 25.

Try on your own: Two plus the quotient of a number and 8 is the same as 16. 2. Twenty-seven times k is h squared decreased by 9.

Translate into sentences: 6z – 15 = 45 Six times z minus fifteen equals forty-five y2 + 3x = w The sum of y squared and three times x is w

Try on your own: 15 = 25u2 + 2 (3/2)r – t3 = 132

STEPS FOR REAL WORLD EXAMPLES UNDERSTAND PLAN SOLVE CHECK

REAL WORLD EXAMPLES 1. Britain and France offered a flight that carried two passengers at a time. Now there are about 45,000 flights each day in the U.S. In how many days will it take for 180,000 flights to occur?

REAL WORLD EXAMPLES 2. There are 50 members in the NY State Senate. This is 70 fewer than the House of Reps. How many members are there in the House of Reps?

Write A Formula Translate the sentence into a formula. The area of a triangle equals the product of ½ the length of the base and the height. A = ½ bh In a right triangle, the square of the measure of the hypotenuse c is equal to the sum of the squares of the measures of the legs, a and b. a2 + b2 = c2

Write A Problem Write a problem based on the given info. T =time Maxine drove, t + 4 = time that Tina drove; 2t + (t + 4) = 28 Sample: Maxine and Tina went on a trip, and they took turns driving. During her turn, Tina drove 4 hours more than Maxine. Maxine took 2 turns, and Tia took 1 turn. Together they drove 28 hr. How many hours did Maxine drive?

Write A Problem Write a problem based on the given info. 2. P = Beth’s salary, .1p = bonus, p + .1p = 525

GUIDED PRACTICE – Complete with a partner Samuel has $1,900 in the Bank. He wishes to increase his account to a total of $2,500 by depositing $30 per week from this paycheck. Write and solve an equation to find how many weeks he needs to reach his goal. Translate into a formula: The perimeter of a regular pentagon is 5 times the length of each side. Write a problem based on the given information. G = gymnasts on a team; 3g = 45.

Did We Reach Our Objective? translate sentences into equations. translate equations into sentences

HOMEWORK Section 2.1 #’s 21 – 24, 30 – 38 evens, 40 –46