SAT II Math I : Single-Variable Algebra

Study concepts, example questions & explanations for SAT II Math I

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Example Questions

Example Question #51 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Subtract  on both sides. Since  is greater than  and is negative, our answer is negative.

We treat as a subtraction problem.

Example Question #52 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Subtract  on both sides. 

 

Multiply  on both sides.

Example Question #53 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Add  on both sides.

Example Question #54 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Add  on both sides.

 

Multiply  on both sides.

Example Question #55 : Single Variable Algebra

Solve for .

 

 
Possible Answers:

Correct answer:

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Divide  on both sides.

When dividing with a negative number, our answer is negative.

Example Question #56 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Add  on both sides. 

 

Divide  on both sides.

Example Question #57 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Multiply  on both sides.

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

Example Question #58 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Multiply  on both sides.

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

Example Question #59 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Take the square root on both sides. We also need to consider having a negative answer.

Remember, two negatives multiplied equals a positive number.

Example Question #60 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

 

Square both sides to get rid of the radical.

 

Subtract  on both sides.

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