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SAT Math Advanced Math Medium Practice Question

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Shortcut used: Check whether the question asks for positive or all solutions.

Solve in 3 steps:

List the given numbers and units.
Choose the formula that matches the asked value.
Simplify carefully and compare with options.

Common mistake: Do not use a reasoning pattern shortcut in a quantitative question.

Question 10 Multiple Choice Question

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Question

If h(x) = x^2 - 4, for what positive value of x is h(x) = 12?

Explanation

Correct Answer: C

ANSWER

Correct Answer: C

Method / Topic: Advanced Math

Set x^2 - 4 = 12, so x^2 = 16. The positive solution is x = 4.

Why this answer is correct

The answer follows from the arithmetic relation between the given values.

Short Explanation

Set x^2 - 4 = 12, so x^2 = 16. The positive solution is x = 4.

Detailed Explanation

Question

If h(x) = x^2 - 4, for what positive value of x is h(x) = 12?

ANSWER

Correct Answer: C

Method / Topic: Advanced Math

Solving h(x)=12 gives x^2 - 4 = 12. Then x^2 = 16, so x = 4 or -4. The

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Question 10

Medium Marks: 1.0 Practice Question

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View Plans

Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake

Shortcut used: Check whether the question asks for positive or all solutions.

Solve in 3 steps:

List the given numbers and units.
Choose the formula that matches the asked value.
Simplify carefully and compare with options.

Common mistake: Do not use a reasoning pattern shortcut in a quantitative question.

Question

If h(x) = x^2 - 4, for what positive value of x is h(x) = 12?

Explanation

Correct Answer: C

ANSWER

Correct Answer: C

Method / Topic: Advanced Math

Set x^2 - 4 = 12, so x^2 = 16. The positive solution is x = 4.

Why this answer is correct

The answer follows from the arithmetic relation between the given values.

Short Explanation

Set x^2 - 4 = 12, so x^2 = 16. The positive solution is x = 4.

Detailed Explanation

Question

If h(x) = x^2 - 4, for what positive value of x is h(x) = 12?

ANSWER

Correct Answer: C

Method / Topic: Advanced Math

Solving h(x)=12 gives x^2 - 4 = 12. Then x^2 = 16, so x = 4 or -4. The

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