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SAT Math Algebra Medium Practice Question

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

Shortcut used: Substitute the known value before solving for the unknown.

Solve in 3 steps:

Let the unknown be a variable.
Translate the statement into an equation.
Solve and verify in options.

Common mistake: Do not change signs while moving terms across the equation.

Question 4 Multiple Choice Question

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Question

If 2p + 3q = 27 and q = 5, what is the value of p?

Explanation

Correct Answer: B

ANSWER

Correct Answer: B

Method / Topic: Algebra

Substitute q = 5: 2p + 15 = 27, so 2p = 12 and p = 6.

Why this answer is correct

The answer satisfies the equation formed from the question.

Short Explanation

Substitute q = 5: 2p + 15 = 27, so 2p = 12 and p = 6.

Detailed Explanation

Question

If 2p + 3q = 27 and q = 5, what is the value of p?

ANSWER

Correct Answer: B

Method / Topic: Algebra

Replace q with 5 in the equation: 2p + 3(5) = 27. This gives 2p + 15 = 27, so 2p = 12 and p = 6.

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Question 4

Medium Marks: 1.0 Practice Question

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

Shortcut used: Substitute the known value before solving for the unknown.

Solve in 3 steps:

Let the unknown be a variable.
Translate the statement into an equation.
Solve and verify in options.

Common mistake: Do not change signs while moving terms across the equation.

Question

If 2p + 3q = 27 and q = 5, what is the value of p?

Explanation

Correct Answer: B

ANSWER

Correct Answer: B

Method / Topic: Algebra

Substitute q = 5: 2p + 15 = 27, so 2p = 12 and p = 6.

Why this answer is correct

The answer satisfies the equation formed from the question.

Short Explanation

Substitute q = 5: 2p + 15 = 27, so 2p = 12 and p = 6.

Detailed Explanation

Question

If 2p + 3q = 27 and q = 5, what is the value of p?

ANSWER

Correct Answer: B

Method / Topic: Algebra

Replace q with 5 in the equation: 2p + 3(5) = 27. This gives 2p + 15 = 27, so 2p = 12 and p = 6.

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