2-1 Writing Equations

Objectives: 1. Translate sentences into equations.2. Translate equations into sentences.

A.CED.1 Create equations and inequalities in one variable and use them to solve problems.

To write an equation, identify the unknown for which you are looking and assign a variable to it. Then write the sentence as an equation.• Look for key words:• Is , Is as much as, Is the same as, Is identical to it

• The Daytona 500 is widely considered to be the most important event of the Nascar circuit. The distance around the track is 2.5 miles, and the race is a total of 500 miles. We can write an equation to determine how many laps it takes to finish the race.

Example 1: Translate each sentence into an equation.a) A number b divided by three is six less

than c.

b) Fifteen more than z times 6 is 11 less than y times 2.

Example 2: A jelly bean manufacturer produces 1,250,000 jelly beans per hour. How many hours does it take to produce 10,000,000 jelly beans?

Example 3: Translate the sentence into a formula.The perimeter of a square equals four times the length of a side.

Example 4: Translate each equation into a sentence.

Example 5: Write a problem based on the given information.f = cost of friesf + 1.50 = cost of burger4(f + 1.50) − f = 8.25

Practice

Homework