How to add polynomials - ACT Math
Card 0 of 27
What is the value of 
when 
What is the value of
In adding 
to both sides:
. . .and adding 
to both sides:
. . .the variables are isolated to become:
After dividing both sides by 
, the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is 
.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
Add the following polynomials:
Add the following polynomials:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Eliminate any answer choices that have a different 
term.
Eliminate any answer choices that have a different 
term.
Eliminate any answer choices that have a different x term.
Eliminate any answer choices that have a different constant term.
Once you put all of your solutions together, the correct answer looks like this:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Once you put all of your solutions together, the correct answer looks like this:
Compare your answer with the correct one above
What is the value of when
What is the value of
In adding to both sides:
. . .and adding to both sides:
. . .the variables are isolated to become:
After dividing both sides by , the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is .
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
Add the following polynomials:
Add the following polynomials:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different x term.
Eliminate any answer choices that have a different constant term.
Once you put all of your solutions together, the correct answer looks like this:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Once you put all of your solutions together, the correct answer looks like this:
Compare your answer with the correct one above
What is the value of when
What is the value of
In adding to both sides:
. . .and adding to both sides:
. . .the variables are isolated to become:
After dividing both sides by , the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is .
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
Add the following polynomials:
Add the following polynomials:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different x term.
Eliminate any answer choices that have a different constant term.
Once you put all of your solutions together, the correct answer looks like this:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Once you put all of your solutions together, the correct answer looks like this:
Compare your answer with the correct one above
What is the value of when
What is the value of
In adding to both sides:
. . .and adding to both sides:
. . .the variables are isolated to become:
After dividing both sides by , the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is .
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
Add the following polynomials:
Add the following polynomials:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different x term.
Eliminate any answer choices that have a different constant term.
Once you put all of your solutions together, the correct answer looks like this:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Once you put all of your solutions together, the correct answer looks like this:
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is .
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
What is the value of when
What is the value of
In adding to both sides:
. . .and adding to both sides:
. . .the variables are isolated to become:
After dividing both sides by , the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above
Add the following polynomials:
Add the following polynomials:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different x term.
Eliminate any answer choices that have a different constant term.
Once you put all of your solutions together, the correct answer looks like this:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Once you put all of your solutions together, the correct answer looks like this:
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is .
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
What is the value of when
What is the value of
In adding to both sides:
. . .and adding to both sides:
. . .the variables are isolated to become:
After dividing both sides by , the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above
Add the following polynomials:
Add the following polynomials:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different term.
Eliminate any answer choices that have a different x term.
Eliminate any answer choices that have a different constant term.
Once you put all of your solutions together, the correct answer looks like this:
This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.
To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.
From here, combine each pair of terms. As you do so, compare your work with the answer choices.
Once you put all of your solutions together, the correct answer looks like this:
Compare your answer with the correct one above
Simplify the following expression.
Simplify the following expression.
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is .
Line up each expression vertically. Then combine like terms to solve.
Thus, the final solution is
Compare your answer with the correct one above
What is the value of when
What is the value of
In adding to both sides:
. . .and adding to both sides:
. . .the variables are isolated to become:
After dividing both sides by , the equation becomes:
In adding
. . .and adding
. . .the variables are isolated to become:
After dividing both sides by
Compare your answer with the correct one above