Open Up - Grade 8 - Mathematics - Unit 7 - Lesson 6
By Formative Library
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Last updated over 2 years ago
11 Questions
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1.
Priya says “I can figure out 5^0 by looking at other powers of 5. 5^3 is 125, 5^2 is 25, then 5^1 is 5.”
What pattern do you notice?
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2.
Priya says “I can figure out 5^0 by looking at other powers of 5. 5^3 is 125, 5^2 is 25, then 5^1 is 5.”
If this pattern continues, what should be the value of 5^0?
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3.
Priya says “I can figure out 5^0 by looking at other powers of 5. 5^3 is 125, 5^2 is 25, then 5^1 is 5.”
If this pattern continues, what should be the value of 5^{-1}?
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4.
Select all the expressions that are equivalent to 4^{-3}.
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5.
Write each expression using a single exponent.
\frac{5^{3}}{5^{6}}
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6.
Write each expression using a single exponent.
(14^{3})^{6}
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7.
Write each expression using a single exponent.
8^{3}⋅8^{6}
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8.
Write each expression using a single exponent.
\frac{16^{6}}{16^{3}}
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9.
Write each expression using a single exponent.
(21^{3})^{-6}
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10.
Andre sets up a rain gauge to measure rainfall in his back yard. On Tuesday, it rains off and on all day.
- He starts at 10 a.m. with an empty gauge when it starts to rain.
- Two hours later, he checks, and the gauge has 2 cm of water in it.
- It starts raining even harder, and at 4 p.m., the rain stops, so Andre checks the rain gauge and finds it has 10 cm of water in it.
- While checking it, he accidentally knocks the rain gauge over and spills most of the water, leaving only 3 cm of water in the rain gauge.
- When he checks for the last time at 5 p.m., there is no change.
Which of the two graphs could represent Andre’s story?(Multiple Choice)
Label the axes of the correct graph with appropriate units.(Show Your Work)
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11.
Andre sets up a rain gauge to measure rainfall in his back yard. On Tuesday, it rains off and on all day.
- He starts at 10 a.m. with an empty gauge when it starts to rain.
- Two hours later, he checks, and the gauge has 2 cm of water in it.
- It starts raining even harder, and at 4 p.m., the rain stops, so Andre checks the rain gauge and finds it has 10 cm of water in it.
- While checking it, he accidentally knocks the rain gauge over and spills most of the water, leaving only 3 cm of water in the rain gauge.
- When he checks for the last time at 5 p.m., there is no change.
Use the graph you picked from the previous question to determine how much total rain fell on Tuesday.
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