SAT II Math I : Solving Equations

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

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Example Questions

Example Question #39 : Single Variable Algebra

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 #40 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Divide  on both sides.

Example Question #41 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #42 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #43 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #44 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 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 #45 : 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 #46 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Multiply  on both sides.

Example Question #31 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 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 #48 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 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. 

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