Free Practice Question
PS · Problem Solving
505-555
Absolute Values/Modules
If 30 - |y + 10| = 26, what is the sum of all possible values of y?
Answer Choices
Correct answer marked below-20
Correct
B
-14
C
-8
D
-6
E
6
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
Given: 30 - |y + 10| = 26. Subtract 30 from both sides of the equation: -|y + 10| = -4. Multiply both sides of the equation by -1 to get: |y + 10| = 4. Since |4| = 4, and |-4|…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
2
Sign in to join the discussion
C
CharminglyMar 28, 2025
Love how you solved this
J
JaseemAug 16, 2024
cheers!
What this question tests
What it tests
Your ability to solve absolute-value equations and inequalities by considering both cases.
Common trap
Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.
Related GMAT Topic Guides
Quant
TopicGMAT Quantitative Reasoning
All Quant guidesDetails
Difficulty
505-555
Type
PS
Category