Common Core: 7th Grade Math : Apply Properties of Operations to Expand Linear Expressions with Rational Coefficients: CCSS.Math.Content.7.EE.A.1
Study concepts, example questions & explanations for Common Core: 7th Grade Math
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Example Questions
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
If 
The first step is to translate the words, "if 
Subtract 
Multiply each side by 
Therefore, 
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify the following expression:
Cannot be computed
When adding and subtracting variable, you can only combine like variables.
That means all of the 
Then you just add and subtract the constants normally so 
So the final answer is 
Example Question #2 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify the followng:
When adding variables together, you must first make sure you are combining the same variable. So, in this case
we can see that both terms contain the variable a. Therefore, we can combine them.
Now, when we combine them, we can think of the variables as objects. So, we can say were are combining an apple and 4 apples together. So,
We can simplify our problem the same way.
Example Question #3 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
Example Question #11 : How To Subtract Variables
Simplify:
This problem is just a matter of grouping together like terms. Remember that terms like 
The only part that might be a little hard is:
If you are confused, think of your number line. This is like "going back" (more negative) from 15. Therefore, you ranswer will be:
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
You need to begin by distributing the minus sign through the whole group 
Simplifying the double negative, you get:
Now, you can move the like terms next to each other:
Finally, simplify:
Example Question #2 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
Begin by distributing the 
Multiply each factor:
Change the double negation to addition:
Combine like terms:
Example Question #7 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
Begin by distributing the 
Multiply all factors:
Group together the only like factor (
Combine like terms:
Example Question #1 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1
Simplify:
All Common Core: 7th Grade Math Resources
