One Step Equations with all 4 Operations 2-4 and 2-5
GOAL: You use the INVERSE operation to ISOLATE the variable on one side of the equation
Here are the steps and justifications (reasons)
1. focus on the side where the variable is and focus specifically on what is in the way of the variable being by itself ( isolated)
2. What is the operation the variable is doing with that number in its way?
3. Get rid of that number by using the opposite ( inverse) operation
*Use + if there is a subtraction problem
*Use - if there is an addition problem
*Use x if there is a division problem
*Use ÷ if there is a multiplication problem
GOLDEN RULE OF EQUATIONS; DO UNTO ONE SIDE OF THE EQUATION WHATEVER YOU DO TO THE OTHER!!
4. Justification: You have just used one of the PROPERTIES OF EQUALITY
which one?
that's easy-- Whatever operation YOU USED to balance both sides that's the property of equality
We used:
" +prop= " to represent Addition Property of Equality
" -prop= " to represent Subtraction Property of Equality
" xprop= " to represent Multiplication Property of Equality
" ÷prop= " to represent Division Property of Equality
5. You should now have the variable all alone ( isolated) on one side of the equal sign.
6. Justification: Why is the variable alone?
For + and - equations you used the Identity Property of Addition (ID+) which simply means that you don't bring down the ZERO because you add zero to anything-- it doesn't change anything... [Note: there is no ID of subtraction]
For x and ÷ equations, you used the Identity Property of Multiplication (IDx) which simply means that you don't bring down the ONE because when you multiply by one it doesn't change anything [NOTE: there is no ID of division]
7. Put answer in the final form of x = ____and box this in.
FORMAL CHECK OF YOUR ANSWER
There are three (3) steps to a formal check:
1. REWRITE the original equation from the original source-- this is just in case you find you copied the problem wrong!!
2. SUBSTITUTE your answer where the variable is and QUESTION your answer by placing a "?" over the =.
3. DO THE MATH-- that is check your answer by doing the math and finally putting a check mark at the end.
Wednesday, October 1, 2008
Pre Algebra Period 2 (Monday)
One Step Equations with all 4 Operations 2-5 and 2-6
GOAL: You use the INVERSE operation to ISOLATE the variable on one side of the equation
Here are the steps and justifications (reasons)
1. focus on the side where the variable is and focus specifically on what is in the way of the variable being by itself ( isolated)
2. What is the operation the variable is doing with that number in its way?
3. Get rid of that number by using the opposite ( inverse) operation
*Use + if there is a subtraction problem
*Use - if there is an addition problem
*Use x if there is a division problem
*Use ÷ if there is a multiplication problem
GOLDEN RULE OF EQUATIONS; DO UNTO ONE SIDE OF THE EQUATION WHATEVER YOU DO TO THE OTHER!!
4. Justification: You have just used one of the PROPERTIES OF EQUALITY
which one? that's easy-- Whatever operation YOU USED to balance both sides that's the property of equality
5. You should now have the variable all alone ( isolated) on one side of the equal sign.
6. Justification: Why is the variable alone?
For + and - equations you used the Identity Property of Addition (ID+) which simply means that you don't bring down the ZERO because you add zero to anything-- it doesn't change anything... [Note: there is no ID of subtraction]
For x and ÷ equations, you used the Identity Property of Multiplication (IDx) which simply means that you don't bring down the ONE because when you multiply by one it doesn't change anything [NOTE: there is no ID of division]
7. Put answer in the final form of
x = and box this in.
FORMAL CHECK OF YOUR ANSWER
There are thre (3) steps to a formal check:
1. REWRITE the original equation from the original source-- this is just in case you find you copied the problem wrong!!
2. SUBSTITUTE your answer where the variable is and QUESTION your answer by placing a "?" over the =.
3. DO THE MATH-- that is check your answer by doing the math and finally putting a check mark at the end.
GOAL: You use the INVERSE operation to ISOLATE the variable on one side of the equation
Here are the steps and justifications (reasons)
1. focus on the side where the variable is and focus specifically on what is in the way of the variable being by itself ( isolated)
2. What is the operation the variable is doing with that number in its way?
3. Get rid of that number by using the opposite ( inverse) operation
*Use + if there is a subtraction problem
*Use - if there is an addition problem
*Use x if there is a division problem
*Use ÷ if there is a multiplication problem
GOLDEN RULE OF EQUATIONS; DO UNTO ONE SIDE OF THE EQUATION WHATEVER YOU DO TO THE OTHER!!
4. Justification: You have just used one of the PROPERTIES OF EQUALITY
which one? that's easy-- Whatever operation YOU USED to balance both sides that's the property of equality
5. You should now have the variable all alone ( isolated) on one side of the equal sign.
6. Justification: Why is the variable alone?
For + and - equations you used the Identity Property of Addition (ID+) which simply means that you don't bring down the ZERO because you add zero to anything-- it doesn't change anything... [Note: there is no ID of subtraction]
For x and ÷ equations, you used the Identity Property of Multiplication (IDx) which simply means that you don't bring down the ONE because when you multiply by one it doesn't change anything [NOTE: there is no ID of division]
7. Put answer in the final form of
x = and box this in.
FORMAL CHECK OF YOUR ANSWER
There are thre (3) steps to a formal check:
1. REWRITE the original equation from the original source-- this is just in case you find you copied the problem wrong!!
2. SUBSTITUTE your answer where the variable is and QUESTION your answer by placing a "?" over the =.
3. DO THE MATH-- that is check your answer by doing the math and finally putting a check mark at the end.
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