SAT II Math I : SAT Subject Test in Math I

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

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Example Questions

Example Question #42 : 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 #202 : Sat Subject Test In Math I

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Subtract  on both sides.

Example Question #203 : Sat Subject Test In Math I

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Square both sides to get rid of the radical.

 Multiply  on both sides.

Example Question #201 : Sat Subject Test In Math I

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 #205 : Sat Subject Test In Math I

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. 

Example Question #42 : Single Variable Algebra

Solve for .

Possible Answers:



Correct answer:

Explanation:

 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 .

Possible Answers:

Correct answer:

Explanation:

 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 .

Example Question #41 : Solving Equations

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 #44 : Solving Equations

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 #45 : Solving Equations

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.

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