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MA6-WEEK18-BASICS-FOR-SOLUTION-OF-ALGEBRAIC-EQUATIONS:-ADDING-AND-SUBT
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Created on May 17, 2024
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Transcript
Basics for Solution of algebraic equations: Adding and Subtracting
Objectives
Start
Story
Solving Equations
Solving Inequialities
Real Life Example
Summary
Story
x + 3 = 4, then x = 1 because 1 + 3 = 4
x + 4 = 3, then x = ?
x = -1, you owe your friend a dollar
Solving Equations
Equations and examples.
An equation is a mathematical expression that establishes equality between two quantities or expressions.
2 x + 3 = 7
The objective of the equation is to find the value of the variable.
Variable
Let's see some examples:
x+1=7
y+3=6
2z+9=11z
How to solve Equations
Isolate the variable by subtracting 1 from both sides of the equation.
Step 1
x+1-1=7-1
We perform the operations between the numbers.
Step 2
x+1=7
x+0=6
Adding zero to a letter or number gives us the same letter or number.
Step 3
x=6
How to solve Equations
Isolate the variable by subtracting 8 from both sides of the equation.
Step 1
x+8-8=12-8
We perform the operations between the numbers.
Step 2
x+0=4
x+8=12
Adding zero to a letter or number gives us the same letter or number.
Step 3
x=4
Try it by yourself
Solving Inequalities
Inequalities and examples.
An inequality is a mathematical expression that establishes inequality between two quantities or expressions.
x + 3 > 7
The objective of an inequality is to find one value or many.
Variable
Let's see some examples:
x+1>7
y+3<6
2z+9>11z
How to solve inequalities
Isolate the variable by subtracting 8 from both sides of the equation.
Step 1
x+8-8>12-8
We perform the operations between the numbers.
Step 2
x+0>4
x+8>12
Adding zero to a letter or number gives us the same letter or number.
Step 3
x>4
True or false
Real life example
Let's see some examples:
Example 1: If I have four apples and my neighbor has three apples, what inequality would represent the fact that my neighbor wants to have more apples than I do, or at least how many apples would my neighbor have to have to outnumber me?
Try it by Yourself
Suppose we have the equation 2x + 1 > 7. If we denote x as the result obtained on the top face of the die, what values satisfy the inequality for me? First: Roll the die Second: Choose the face that is facing up
Summary
x+0=0
x+1=1
x+1-1=1-1
x=0
x+0>-3
x+4>1
x+4-4>1-4
x>-3
Great job!
See you next time
Welcome 6th graders!
A journey soon begin through Social Science experiences!
6TH-BASICS-FOR-SOLUTION-OF-ALGEBRAIC-EQUATIONS:-ADDING-AND-SUBTRACTING-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
Standard 2: Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable. MA.6.AR.2.1 Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false. MA.6.AR.2.2 Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers. Standard 1: Extend previous understanding of numbers to define rational numbers. Plot,order and compare rational numbers. MA.6.AR.1.1 Given a mathematical or real-world context, translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions.