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SAT Math Advanced Math Hard Practice Question

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

Shortcut used: Recognize perfect-square trinomials: x^2 + 2ax + a^2 = (x + a)^2.

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 5 Multiple Choice Question

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Question

If g(x) = x^2 + 6x, which expression is equivalent to g(x) + 9?

Explanation

Correct Answer: A

ANSWER

Correct Answer: A

Method / Topic: Advanced Math

g(x) + 9 = x^2 + 6x + 9 = (x + 3)^2.

Why this answer is correct

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

Short Explanation

g(x) + 9 = x^2 + 6x + 9 = (x + 3)^2.

Detailed Explanation

Question

If g(x) = x^2 + 6x, which expression is equivalent to g(x) + 9?

ANSWER

Correct Answer: A

Method / Topic: Advanced Math

Adding 9 completes the square: x^2 + 6x + 9 has the form x^2 + 2(3)x + 3^2, so it equals (x + 3)^2.

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Question 5

Hard Marks: 1.0 Practice Question

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Free access limit is ending soon

Upgrade to unlock all Advanced Math questions.

View Plans

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

Shortcut used: Recognize perfect-square trinomials: x^2 + 2ax + a^2 = (x + a)^2.

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 g(x) = x^2 + 6x, which expression is equivalent to g(x) + 9?

Explanation

Correct Answer: A

ANSWER

Correct Answer: A

Method / Topic: Advanced Math

g(x) + 9 = x^2 + 6x + 9 = (x + 3)^2.

Why this answer is correct

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

Short Explanation

g(x) + 9 = x^2 + 6x + 9 = (x + 3)^2.

Detailed Explanation

Question

If g(x) = x^2 + 6x, which expression is equivalent to g(x) + 9?

ANSWER

Correct Answer: A

Method / Topic: Advanced Math

Adding 9 completes the square: x^2 + 6x + 9 has the form x^2 + 2(3)x + 3^2, so it equals (x + 3)^2.

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