Solving Equations - SAT Subject Test in Math I

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 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 , group like terms on one side of the equal sign.

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. 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.

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. 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.

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 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 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 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.

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.

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.

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.

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 .

Subtract on both sides.

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

Add to both sides.

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