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Eleventh Grade (Grade 11) Function and Algebra Concepts Questions

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Grade 11 Functions and Relations CCSS: HSF-LE.A.3
The height of a stack of paper increases linearly with the number of sheets. The height of a plant increases exponentially with time. Which statement is always true given enough time?
  1. The paper stack will be taller
  2. The plant will be taller
  3. Their heights will be equal
  4. The plant's growth will slow down
Grade 11 Exponents CCSS: HSF-LE.A.3
The cost of a linear algorithm is C₁(n) = 100n. The cost of an exponential algorithm is C₂(n) = 2^n. For large input sizes n, which algorithm is more efficient?
  1. The linear algorithm
  2. The exponential algorithm
  3. They are equally efficient
  4. It depends on the value of n
Grade 11 Functions and Relations CCSS: HSF-LE.A.3
Based on the values for the linear function c(x) and exponential function d(x), what is the expected behavior?
  1. d(x) > c(x) for x ≥ 7. The exponential function, which doubles, has surpassed the linear function, which only adds 10 each time.
  2. c(x) > d(x) for all x. The linear function starts with a much higher value and increases, so it will always be greater.
  3. d(x) > c(x) for x ≥ 6. The values are equal at x=6, and then d(x) becomes greater.
  4. The functions intersected between x=6 and x=7, so d(x) is greater for all x > 6.5.
Grade 11 Functions and Relations CCSS: HSF-LE.A.3
The pressure in two different environments changes with depth.
Environment 1 (ocean): P1(d)=10.1d+101.3(kPa)
Environment 2 (gas giant): P2(d)=101.3(1.1)d(kPa)
What occurs as depth increases significantly?
  1. Ocean pressure will always be greater.
  2. Gas giant pressure will always be greater.
  3. Ocean pressure is greater at shallow depths, but gas giant pressure becomes greater at extreme depths.
  4. Gas giant pressure is greater at shallow depths, but ocean pressure becomes greater at extreme depths.
Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1c
Which set of ordered pairs models a situation with a constant percent rate of change?
  1. {(1, 5), (2, 10), (3, 15), (4, 20)}
  2. {(1, 5), (2, 25), (3, 125), (4, 625)}
  3. {(1, 100), (2, 95), (3, 90), (4, 85)}
  4. {(1, 80), (2, 76), (3, 72), (4, 68)}
Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1c
Which set demonstrates exponential decay?
  1. { (0, 12), (1, 24), (2, 48), (3, 96)}
  2. {(0, 100), (1, 90), (2, 80), (3, 70)}
  3. {(0, 64), (1, 32), (2, 16), (3, 8)}
  4. {(0, 5), (1, 10), (2, 15), (3, 20)}
Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1c
In which set does the y-value decrease by a constant percentage each time the x-value increases by 1?
  1. {(0, 64), (1, 60), (2, 56), (3, 52)}
  2. {(0, 64), (1, 48), (2, 36), (3, 27)}
  3. {(0, 64), (1, 63), (2, 62), (3, 61)}
  4. {(0, 64), (1, 32), (2, 16), (3, 8)}
Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1c
A bacteria population of 1,200 doubles every hour. Which expression shows the population after t hours?
  1. 1,200×(2)t
  2. 1,200×(0.5)t
  3. 1,200+2t
  4. 1,200×(1.2)t
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