Unit 6
Equations & Inequalities
Equations & Inequalities
Larry wants to throw an orange party. Because, naturally.
He wants to know how many oranges to buy for his party.
He wants to know how many oranges to buy for his party.
Let x = the number of oranges to buy for Larry's orange party.
In order to have a successful party, Larry figures that each guest should receive no less than 5 oranges in his or her parting gift basket.
If Larry expects 19 guests at his orange party, how many oranges should he buy?
Please set up an equation to represent Larry's problem.
Scroll down to see a possible answer.
Please set up an equation to represent Larry's problem.
Scroll down to see a possible answer.
An unknown number divided into equal groups of 5 equals 19.
Are there any other equations that would model Larry's problem?
Are there any other equations that would model Larry's problem?
So how do we go about solving this equation?
From the last lesson, we saw that multiplication and division were inverse operations. They cancel each other out. We can use this information to cancel out dividing by 5:
Classwork & Homework:
-- EngageNY
State Test Practice:
California Standards:
CCSS.Math.Practice.MP5 Use appropriate tools strategically.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning.
CCSS.Math.Content.6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
CCSS.Math.Content.6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
CCSS.Math.Content.6.EE.B.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning.
CCSS.Math.Content.6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
CCSS.Math.Content.6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
CCSS.Math.Content.6.EE.B.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.