Solving Equations - SAT Math
Card 0 of 436
Solve for
.

Solve for .
Subtract
on both sides.
Divide
on both sides.
Since it's absolute value, we need to accept both positive and negative answers.

Subtract
on both sides.
Divide
on both sides.
Since it's absolute value, we need to accept both positive and negative answers.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Add
on both sides. Since
is greater than
and is positive, our answer is positive. We treat as a normal subtraction.

Multiply
on both sides.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Add on both sides. Since
is greater than
and is positive, our answer is positive. We treat as a normal subtraction.
Multiply on both sides.
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Solve for
.

Solve for .

Add 9 to each side of the equation.

Multiply each side of the equation by 4.

Add 9 to each side of the equation.
Multiply each side of the equation by 4.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate
, we must first eliminate the fraction on the left hand side by multiplying each side by 3.


Next, 5 must be subtracted fromm both sides.


Finally, 2 must be divided out of each side.


Thus, this is our answer.
To isolate , we must first eliminate the fraction on the left hand side by multiplying each side by 3.
Next, 5 must be subtracted fromm both sides.
Finally, 2 must be divided out of each side.
Thus, this is our answer.
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Solve for
in terms of
:

Solve for in terms of
:

To solve this equation in terms of y, we must isolate it. We start by moving those terms, that do not involve y, to the right hand side. Thus, we add 6 to both sides.

Next, since there are no other terms on the left hand side that do not include y, we must factor a y out of them.

Now, we can divide to isolate y.

To solve this equation in terms of y, we must isolate it. We start by moving those terms, that do not involve y, to the right hand side. Thus, we add 6 to both sides.
Next, since there are no other terms on the left hand side that do not include y, we must factor a y out of them.
Now, we can divide to isolate y.
Compare your answer with the correct one above
Solve for the unknown variable: 
Solve for the unknown variable:
To solve
, group like terms on one side of the equal sign.




To solve , group like terms on one side of the equal sign.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Subtract
on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

Divide
on both sides. When dividing with a negative number, our answer is negative.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Subtract on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.
Divide on both sides. When dividing with a negative number, our answer is negative.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Subtract
on both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.

Divide
on both sides. When dividing with a negative number, our answer is negative.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Subtract on both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.
Divide on both sides. When dividing with a negative number, our answer is negative.
Compare your answer with the correct one above
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Subtract
on both sides.

Multiply
on both sides.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Subtract on both sides.
Multiply on both sides.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Subtract
on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

Multiply
on both sides. When multiplying with another negative number, our answer is positive.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Subtract on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.
Multiply on both sides. When multiplying with another negative number, our answer is positive.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Add
to both sides.

Divide
on both sides.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Add to both sides.
Divide on both sides.
Compare your answer with the correct one above
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Add
on both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.

Divide
on both sides. When dividing with a negative number, our answer is negative.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Add on both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.
Divide on both sides. When dividing with a negative number, our answer is negative.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Add
to both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.

When multiplying with another negative number, our answer is positive.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Add to both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.
When multiplying with another negative number, our answer is positive.
Compare your answer with the correct one above
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

To get rid of the radical, we square both sides.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
To get rid of the radical, we square both sides.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

To get rid of the radical, we square both sides.

Subtract
on both sides.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
To get rid of the radical, we square both sides.
Subtract on both sides.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

Take the square root on both sides. Remember when you do that, you need to take account of the negative as well. Two negatives multipied is a positive number.

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
Take the square root on both sides. Remember when you do that, you need to take account of the negative as well. Two negatives multipied is a positive number.
Compare your answer with the correct one above
Solve for
.

Solve for .
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

This is a quadratic equation. We need to find two terms that are factors of the c term that add up to the b term.
In this case, we should have
.
Solve each binomial individually.
Subtract
on both sides. 
Subtract
on both sides. 
Answers are
.
To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.
This is a quadratic equation. We need to find two terms that are factors of the c term that add up to the b term.
In this case, we should have .
Solve each binomial individually.
Subtract
on both sides.
Subtract
on both sides.
Answers are .
Compare your answer with the correct one above
Solve for
.

Solve for .
Subtract
on both sides.

Subtract
on both sides.
Compare your answer with the correct one above
Solve for
.

Solve for .
Subtract
on both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.

Subtract
on both sides. Since
is greater than
and is negative, our answer is negative. We treat as a normal subtraction.
Compare your answer with the correct one above
Solve for
.

Solve for .
Add
to both sides.

Add
to both sides.
Compare your answer with the correct one above