Solving Problems with Absolute Value: Sample FAST Questions
Students solve math and real-world problems that involve absolute value, including comparing absolute values. For example, they decide which of two bank accounts is further from a zero balance, or which temperature is further from zero degrees, even when the numbers have different signs.
How the FAST tests this benchmark
FAST items include multiple choice questions comparing absolute values in real-world contexts and equation editor items where students calculate with absolute value expressions.
Skills students need
Compare absolute values in real-world contexts
Calculate with absolute value expressions
Try 4 real MA.6.NSO.1.4 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
An expression is shown. ∣−10∣+∣−3∣. What is the value of the expression?
Correct answer: C. 13
This explanation shows one way to solve the problem.
Evaluate each absolute value: ∣−10∣=10∣−3∣=3
Add: 10+3=13
Final Answer
13
Question 2MediumMultiple Choice
A helicopter is hovering at 5 feet above sea level. A submarine is at −18 feet below sea level. Which is closer to sea level, and how far apart are they?
Correct answer: B. They are 23 ft apart, and the helicopter is closer to sea level
This explanation shows one way to solve the problem.
Read positions: Helicopter: 5 ft Submarine: −18 ft
Determine which is closer to sea level: ∣5∣=5 and ∣−18∣=18. Since 5<18, the helicopter is closer to sea level.
Find the distance apart: ∣5∣+∣−18∣=5+18=23 ft apart
Final Answer
They are 23 ft apart, and the helicopter is closer to sea level
Question 3MediumEquation Editor
An expression is shown. ∣−10∣+∣10∣−12. What is the value of the expression?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 8
This explanation shows one way to solve the problem.
Evaluate each absolute value: ∣−10∣=10∣10∣=10
Substitute and compute: 10+10−12=20−12=8
Final Answer
8
Question 4HardMultiple Select
A freezer keeps food safe if the temperature stays within 20°F of 0°F. Select ALL temperatures that are within the safe range (i.e., ∣temp∣≤20).
Select every answer that applies, then check.
Correct answer: A, C, D (highlighted above)
This explanation shows one way to solve the problem.
Set up the condition: Safe if ∣value∣≤20
Check each option: ∣−15∣=15≤20 → safe ∣−25∣=25>20 → NOT safe ∣−18∣=18≤20 → safe ∣−20∣=20≤20 → safe ∣−22∣=22>20 → NOT safe
Final Answer
−15°F, −18°F, −20°F
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