1.1 Integers and Rational Numbers

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

www.ck12.org Chapter 7. Literal Equations and Inequalities15. A = 1/2h(b + c) solve for b16. John knows that the formula to calculate how far he has traveled is average speed * time traveled. Write a literalequation that represents this formula using D for distance, r for average rate and t for time traveled. Then rewrite theformula, solving for average speed, r.17. Mary paid $100 to set up a face painting booth at the local fair. She is going to charge customers $5 each. Shefigures out that her profits will be $5 per customer minus her $100 rental fee and comes up with the formula P = 5c -100 where P is profit and c is the number of customers. She wants to earn at least $400 at the fair. Help Mary rewriteher formula so that she can calculate c. How many customers will she need?117
7.2. Inequalities www.ck12.org7.2 InequalitiesSometimes Things Are Not EqualIn some cases there are multiple answers to a problem or the situation requires something that is not exactly equal toanother value. When a mathematical sentence involves something other than an equal sign, an inequality is formed.Definition: An algebraic inequality is a mathematical sentence connecting an expression to a value, variable, oranother expression with an inequality sign.Listed below are the most common inequality signs.> greater than≥ greater than or equal to≤ less than or equal to< less than≠ not equal toBelow are several examples of inequalities.3x < 53x4 ≥ x 2 − 3 4 − x ≤ 2xExample 1: Translate the following into an inequality: Avocados cost $1.59 per pound. How many pounds ofavocados can be purchased for less than $7.00?Solution: Choose a variable to represent the number of pounds of avocados purchased, say a.You will be asked to solve this inequality in the exercises1.59(a) < 7Checking the Solution to an InequalityUnlike equations, inequalities typically have more than one solution. Checking solutions to inequalities are morecomplex than checking solutions to equations. The key to checking a solution to an inequality is to choose a numberthat occurs within the solution set.118
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1.1 Integers and Rational Numbers

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