Free Practice Question
PS · Problem Solving
sub-505
Algebra
When half of the result from subtracting 3 from 6x equals the sum of 12 and 4x, what is the value of x?
Answer Choices
Correct answer marked belowA
–18.5
B
–6.5
C
6.5
-13.5
Correct
E
18.5
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Explanation
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Official Explanation
Official
Half of the result from subtracting 3 from 6x can be expressed as: .
This is equal to the sum of 12 and 4x, which we can write as: . Therefore, we have the equation: .…
This is equal to the sum of 12 and 4x, which we can write as: . Therefore, we have the equation: .…
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What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.
Details
Difficulty
sub-505
Type
PS
Category