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SAT II Math I : Solving Equations

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 #174 : Sat Subject Test In Math I

Solve for .

$\frac{x}{8}-5=-2$

Possible Answers:

-3{}

Correct answer:

Explanation:

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

$\frac{x}{8}-5=-2$

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

$\frac{x}{8}=3$

Multiply on both sides.

x=24

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Example Question #172 : Sat Subject Test In Math I

Solve for .

$\frac{x}{-4}-3=-15$

Possible Answers:

Correct answer:

Explanation:

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

$\frac{x}{-4}-3=-15$

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

$\frac{x}{-4}=-12$

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

x=48

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Example Question #21 : Single Variable Algebra

$\sqrt{x}=25$

Possible Answers:

625

1225

125

Correct answer:

625

Explanation:

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

$\sqrt{x}=25$

To get rid of the radical, we square both sides.

x=25^2=625

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Example Question #22 : Single Variable Algebra

Solve for .

$\sqrt{x+3}=16$

Possible Answers:

259

253

256

Correct answer:

253

Explanation:

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

$\sqrt{x+3}=16$

To get rid of the radical, we square both sides.

x+3=16^2=256

Subtract on both sides.

x=253

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Example Question #23 : Single Variable Algebra

Solve for .

x^2=361

Possible Answers:

$\pm19$

$\pm361$

361

Correct answer:

$\pm19$

Explanation:

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

x^2=361

Take the square root on both sides. Remember when you do that, you need to take account of the negative as well. Two negatives multipied is a positive number.

$x=\pm \sqrt{361}=\pm19$

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Example Question #21 : Single Variable Algebra

Solve for .

x^2+6x+8=0

Possible Answers:

$\pm2$

2, 4

$\pm4$

-2, -4

Correct answer:

-2, -4

Explanation:

To isolate the variable in the equation, perform the opposite operation to move all constants on one side of the equation and leaving the variable on the other side of the equation.

x^2+6x+8=0

This is a quadratic equation. We need to find two terms that are factors of the c term that add up to the b term.

In this case, we should have (x+2)(x+4)=0 .

Solve each binomial individually.

x+2=0 Subtract on both sides. x=-2

x+4=0 Subtract on both sides. x=-4

Answers are -2, -4 .

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Example Question #22 : Single Variable Algebra

Solve for .

x+24=103

Possible Answers:

127

117

Correct answer:

Explanation:

x+24=103 Subtract on both sides.

x=79

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Example Question #13 : Solving Equations

Solve for .

x+46=21

Possible Answers:

Correct answer:

Explanation:

x+46=21 Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction.

x=-25

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Example Question #23 : Single Variable Algebra

Solve for .

x-85=213

Possible Answers:

228

128

168

298

178

Correct answer:

298

Explanation:

x-85=213 Add to both sides.

x=298

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Example Question #24 : Single Variable Algebra

Solve for .

x-145=-241

Possible Answers:

126

Correct answer:

Explanation:

x-145=-241 Add 145 on both sides. Since 241 is greater than 145 and is negative, our answer is negative. We treat as a normal subtraction.

x=-96

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All SAT II Math I Resources

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SAT II Math I : Solving Equations

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

All SAT II Math I Resources

Example Questions

Example Question #174 : Sat Subject Test In Math I

Example Question #172 : Sat Subject Test In Math I

Example Question #21 : Single Variable Algebra

Example Question #22 : Single Variable Algebra

Example Question #23 : Single Variable Algebra

Example Question #21 : Single Variable Algebra

Example Question #22 : Single Variable Algebra

Example Question #13 : Solving Equations

Example Question #23 : Single Variable Algebra

Example Question #24 : Single Variable Algebra

All SAT II Math I Resources

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