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SAT II Math I : Single-Variable Algebra

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

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All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Solving Equations

Solve for .

x+234=129

Possible Answers:

363

105

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

x+234=129

Subtract 234 on both sides. Since 234 is greater than 129 and is negative, our answer is negative.

We treat as a subtraction problem.

x=-105

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Example Question #44 : Solving Equations

Solve for .

$\frac{x}{5}+334=624$

Possible Answers:

1350

290

1450

1260

Correct answer:

1450

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

$\frac{x}{5}+334=624$

Subtract 334 on both sides.

$\frac{x}{5}=290$

Multiply on both sides.

x=1450

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Example Question #45 : Solving Equations

Solve for .

x-546=278

Possible Answers:

828

268

634

786

824

Correct answer:

824

Explanation:

x-546=278

Add 546 on both sides.

x=824

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Example Question #51 : Single Variable Algebra

Solve for .

$\frac{x}{4}-46=298$

Possible Answers:

1376

344

1776

1286

Correct answer:

1376

Explanation:

$\frac{x}{4}-46=298$

Add on both sides.

$\frac{x}{4}=344$

Multiply on both sides.

x=1376

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Example Question #55 : Single Variable Algebra

Solve for .

45x=-720

Possible Answers:

Correct answer:

Explanation:

45x=-720

Divide on both sides.

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

x=-16

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Example Question #56 : Single Variable Algebra

Solve for .

9x-34=587

Possible Answers:

Correct answer:

Explanation:

9x-34=587

Add on both sides.

9x=621

Divide on both sides.

x=69

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Example Question #57 : Single Variable Algebra

Solve for .

$\frac{x}{-7}=-469$

Possible Answers:

217

3383

3283

Correct answer:

3283

Explanation:

$\frac{x}{-7}=-469$

Multiply on both sides.

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

x=3283

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Example Question #52 : Single Variable Algebra

Solve for .

$\frac{x}{-17}=-69$

Possible Answers:

213

1173

1383

217

671

Correct answer:

1173

Explanation:

$\frac{x}{-17}=-69$

Multiply on both sides.

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

x=1173

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Example Question #51 : Solving Equations

Solve for .

x^2=841

Possible Answers:

$\pm39$

$\pm29$

Correct answer:

$\pm29$

Explanation:

x^2=841

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

Remember, two negatives multiplied equals a positive number.

$x=\pm29$

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Example Question #56 : Single Variable Algebra

Solve for .

$\sqrt{x+5}=9$

Possible Answers:

Correct answer:

Explanation:

$\sqrt{x+5}=9$

Square both sides to get rid of the radical.

x+5=9^2=81

Subtract on both sides.

x=76

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All SAT II Math I Resources

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SAT II Math I : Single-Variable Algebra

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

All SAT II Math I Resources

Example Questions

Example Question #41 : Solving Equations

Example Question #44 : Solving Equations

Example Question #45 : Solving Equations

Example Question #51 : Single Variable Algebra

Example Question #55 : Single Variable Algebra

Example Question #56 : Single Variable Algebra

Example Question #57 : Single Variable Algebra

Example Question #52 : Single Variable Algebra

Example Question #51 : Solving Equations

Example Question #56 : Single Variable Algebra

All SAT II Math I Resources

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