All SAT II Math I Resources
Example Questions
Example Question #41 : Single Variable Algebra
Solve for .
Divide on both sides. When dividing with a negative number, our answer is negative.
Example Question #31 : Solving Equations
Solve for .
Divide on both sides. When dividing with another negative number, our answer is positive.
Example Question #41 : Single Variable Algebra
Solve for .
Multiply both sides by . When multiplying with a positive number, our answer is negative.
Example Question #42 : Single Variable Algebra
Solve for .
Multiply both sides by . When multiplying with a negative number, our answer is negative.
Divide both sides by . When dividing with another negative number, our answer is positive.
Example Question #202 : Sat Subject Test In Math I
Solve for .
Square both sides to get rid of the radical.
Subtract on both sides.
Example Question #203 : Sat Subject Test In Math I
Solve for .
Square both sides to get rid of the radical.
Multiply on both sides.
Example Question #43 : Single Variable Algebra
Solve for .
We take the square root on both sides. We also need to consider the negative answer since two negatives multiplied together is positive.
Example Question #205 : Sat Subject Test In Math I
Solve for .
This is a quadratic equation. We can solve by factoring. We need to find teo terms that add to the b term but also multiply to get the c term.
Solve individually.
Add to both sides.
Add to both sides.
Example Question #42 : Single Variable Algebra
Solve for .
Take the square root on both sides. Remember to account for a negative square root.
We will treat as two different equations.
Subtract on both sides. When adding another negative number, we treat as a sum and add a minus sign in the end.
Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a subtraction problem.
Example Question #43 : Single Variable Algebra
Solve for .
Let's subtract on both sides. It will be easier to square both sides to get rid of the radical.
This is recognition of a quadratic equation.
We need to find two terms that multiply to the c term but add up to the b term.
Solve individually for zero.
Add on both sides.
Add on both sides.
We need to check our answers.
If , then
If , then
Clearly, doesn't work so our final answer is .