How to simplify binomials - Algebra
Card 0 of 81
Solve for 
.
Solve for
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
Compare your answer with the correct one above
Solve for 
:
Solve for
In simplifying these two binomials, you need to isolate 
to one side of the equation. You can first add 4 from the right side to the left side:
Next you can subtract the 
from the left side to the right side:
Finally you can divide each side by 3 to solve for 
:
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
In simplifying these two binomials, you need to isolate
Next you can subtract the
Finally you can divide each side by 3 to solve for
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
Compare your answer with the correct one above
Solve for 
:
Solve for
To simplify these two binomials, you need to isolate 
on one side of the equation. You first can add 5 from the right to the left side:
Next you can subtract 
from the left to the right side:
Finally, you can isolate 
by dividing each side by 2:
You can verify this by plugging 
into each binomial to verify that they are equal to one another.
To simplify these two binomials, you need to isolate
Next you can subtract
Finally, you can isolate
You can verify this by plugging
Compare your answer with the correct one above
Solve for 
:
Solve for
To solve for 
, you need to isolate it to one side of the equation. You can subtract the 
from the right to the left. Then you can add the 6 from the right to the left:
Next, you can factor out this quadratic equation to solve for 
. You need to determine which factors of 8 add up to negative 6:
Finally, you set each binomial equal to 0 and solve for 
:
To solve for
Next, you can factor out this quadratic equation to solve for
Finally, you set each binomial equal to 0 and solve for
Compare your answer with the correct one above
Simplify:
Simplify:
Compare your answer with the correct one above
Find 
in terms of 
:
Find
When solving for X in terms of Y, we simplify it so that Y is a variable that is used to represent the value of X:
To find the value for X by itself, we then divide both sides by the coefficient of 7:
Which gives the correct answer:
When solving for X in terms of Y, we simplify it so that Y is a variable that is used to represent the value of X:
To find the value for X by itself, we then divide both sides by the coefficient of 7:
Which gives the correct answer:
Compare your answer with the correct one above
Simplify 
.
Simplify
The question is asking for the simplified version of 
.
Remember the distributive property of multiplication over addition and subtraction:
Combine like terms.
The question is asking for the simplified version of
Remember the distributive property of multiplication over addition and subtraction:
Combine like terms.
Compare your answer with the correct one above
Which of the following is equivalent to the expression 
?
Which of the following is equivalent to the expression
Recall the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Recall the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Compare your answer with the correct one above
Which of the following is equivalent to the expression
?
Which of the following is equivalent to the expression
Using the order of opperations, first simplify the exponent.
Next, perform the multiplication.
Using the order of opperations, first simplify the exponent.
Next, perform the multiplication.
Compare your answer with the correct one above
Solve for .
Solve for
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
Compare your answer with the correct one above
Solve for :
Solve for
In simplifying these two binomials, you need to isolate to one side of the equation. You can first add 4 from the right side to the left side:
Next you can subtract the from the left side to the right side:
Finally you can divide each side by 3 to solve for :
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
In simplifying these two binomials, you need to isolate
Next you can subtract the
Finally you can divide each side by 3 to solve for
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
Compare your answer with the correct one above
Solve for :
Solve for
To simplify these two binomials, you need to isolate on one side of the equation. You first can add 5 from the right to the left side:
Next you can subtract from the left to the right side:
Finally, you can isolate by dividing each side by 2:
You can verify this by plugging into each binomial to verify that they are equal to one another.
To simplify these two binomials, you need to isolate
Next you can subtract
Finally, you can isolate
You can verify this by plugging
Compare your answer with the correct one above
Solve for :
Solve for
To solve for , you need to isolate it to one side of the equation. You can subtract the from the right to the left. Then you can add the 6 from the right to the left:
Next, you can factor out this quadratic equation to solve for . You need to determine which factors of 8 add up to negative 6:
Finally, you set each binomial equal to 0 and solve for :
To solve for
Next, you can factor out this quadratic equation to solve for
Finally, you set each binomial equal to 0 and solve for
Compare your answer with the correct one above
Simplify:
Simplify:
Compare your answer with the correct one above
Find in terms of :
Find
When solving for X in terms of Y, we simplify it so that Y is a variable that is used to represent the value of X:
To find the value for X by itself, we then divide both sides by the coefficient of 7:
Which gives the correct answer:
When solving for X in terms of Y, we simplify it so that Y is a variable that is used to represent the value of X:
To find the value for X by itself, we then divide both sides by the coefficient of 7:
Which gives the correct answer:
Compare your answer with the correct one above
Simplify .
Simplify
The question is asking for the simplified version of .
Remember the distributive property of multiplication over addition and subtraction:
Combine like terms.
The question is asking for the simplified version of
Remember the distributive property of multiplication over addition and subtraction:
Combine like terms.
Compare your answer with the correct one above
Which of the following is equivalent to the expression ?
Which of the following is equivalent to the expression
Recall the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Recall the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Compare your answer with the correct one above
Which of the following is equivalent to the expression
?
Which of the following is equivalent to the expression
Using the order of opperations, first simplify the exponent.
Next, perform the multiplication.
Using the order of opperations, first simplify the exponent.
Next, perform the multiplication.
Compare your answer with the correct one above
Solve for .
Solve for
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
Compare your answer with the correct one above
Solve for :
Solve for
In simplifying these two binomials, you need to isolate to one side of the equation. You can first add 4 from the right side to the left side:
Next you can subtract the from the left side to the right side:
Finally you can divide each side by 3 to solve for :
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
In simplifying these two binomials, you need to isolate
Next you can subtract the
Finally you can divide each side by 3 to solve for
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
Compare your answer with the correct one above