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 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides.

Example Question #52 : 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 normal subtraction.

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

Example Question #53 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 First distribute the  to each term in the parantheses.

 Subtract  on both sides.

 Subtract  on both sides. 

 Divide  on both sides.

Example Question #54 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Distribute the  to each term in the parantheses.

 Add  to both sides.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #65 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

There are TWO ways:

Method : (not really preferred)

 Distribute  to each term in the parantheses.

 Add  to both sides.

 Multiply by the reciprocal  on both sides.

 

Method : (preferred)

 Multiply by the reciprocal  on both sides.

 Add  to both sides.

Example Question #55 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Distribute the  to each term in the parantheses.

 Multiply  on both sides.

 Subtract  on both sides.

 Divide  on both sides.

Example Question #56 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Distribute the  to each term in the left parantheses and the  to each term in the right parantheses.

 Add like terms.

 Add  on both sides.

 Divide  on both sides.

Example Question #57 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Subtract  on both sides.

Example Question #61 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Sqaure both sides to get rid of the radical.

 Cross-multiply.

 Divide both sides by .

Example Question #62 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Cross-multiply.

 Square both sides to get rid of the radical.

 Subtract  on both sides.

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