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 #23 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #24 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #31 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Subtract  on both sides.

Example Question #34 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

Example Question #26 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 To get rid of the exponent, take the square root of both sides. Remember, the answer can be both positive and negative as two negative signs when multiplied gives you a positive answer.

Example Question #27 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 By inspection, we can see it's a quadratic equation since we have an exponent of . So let's move everything to the left so the equation equals zero.

 So we need to find two numbers when multiplied is  but at the same time having a sum of .

 Solve each equation individually.

 Add  to both sides. 

 Add  to both sides. 

 

Example Question #28 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

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

Example Question #29 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides.

Example Question #31 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #32 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Divide  on both sides.

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