EXAMPLE 1 Standardized Test Practice.

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Presentation transcript:

EXAMPLE 1 Standardized Test Practice

EXAMPLE 1 Standardized Test Practice SOLUTION Write and solve a two-step equation to find the number of flamingos. Write a verbal model. Let n be the number of additional flamingos.

Standardized Test Practice EXAMPLE 1 Standardized Test Practice 2370 = 395n + 1580 Write an algebraic model. 2370 – 1580 = 395n + 1580 – 1580 Subtract 1580 from each side. 790 = 395n Simplify. 790 395 395n = Divide each side by 395. 2 = n Simplify.

EXAMPLE 1 Standardized Test Practice ANSWER The zoo can buy 2 new flamingos next year. An equation for finding the number of flamingos is 2370 = 395n + 1580. The correct answer is B.

GUIDED PRACTICE for Example 1 Feeding Costs 1. It costs a zoo $1150 this year to feed tortoises. Each new tortoise costs $575 to feed. A zoo’s budget for tortoise food next year is $2875. How many new tortoises can the zoo buy next year? ANSWER The Zoo can buy 3 new tortoises next year

Writing and Solving a Two-Step Equation EXAMPLE 2 Writing and Solving a Two-Step Equation The sum of 4 times a number plus –6 is 14. What is the number? 4 times a number and –6 is 14. Write a verbal model. 4 n + (–6) = 14 Translate. 4n – 6 = 14 Write equation. 4n – 6 + 6 = 14 + 6 Add 6 to each side. 4n = 20 Simplify. 4n 4 = 20 Divide each side by 4. n = 5 Simplify. ANSWER The number is 5.

EXAMPLE 3 Writing and Solving a Two-Step Equation Reading You want to find how many pages you need to read per week in order to finish several books in six weeks. The books have a total of 1244 pages. You have already read 500 pages. How many pages do you have to read per week?

Writing and Solving a Two-Step Equation EXAMPLE 3 Writing and Solving a Two-Step Equation SOLUTION Let p be the number of pages to read per week. 1244 = 6p + 500 Write an algebraic model. 1244 – 500 = 6p + 500 – 500 Subtract 500 from each side. 744 = 6p Simplify. 744 = 6p 6 Divide each side by 6 124 = p Simplify. ANSWER You have to read 124 pages per week.

GUIDED PRACTICE for Examples 2 and 3 2. The difference of six times a number and 9 is -3. What is the number? ANSWER The number is 1.

GUIDED PRACTICE for Examples 2 and 3 3. What If? Suppose in Example 3 that you have read 714 pages and have five weeks left. How many pages do you have to read per week? ANSWER You have to read 106 pages per week