| 1) Explain why laws of exponents are needed.
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| 2) Give an example of how laws of exponents can be used in the real world.
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| 3) What does an exponent tell you to do?
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| 4) Name the base and the exponent for the expression 43, and then evaluate.
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| 5) Explain the "product of powers" rule.
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In the following problems, use the "product of powers" rule to simplify each expression.
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| 6) Simplify.
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| 7) Simplify.
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| 8) Simplify.
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Geometry Connection
Find the area of each rectangle and the volume of the rectangular solid in the next three questions.
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| 9) What is the area of the rectangle (A = lw)?
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| 10) What is the volume of the rectangular solid (V = lwh)?
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| 11) What is the area of the rectangle (A = lw)?
Hint: When a letter or number does not have an exponent, it will be 1.
Example: 4n = 41n1
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| 12) Explain the "power-of-a-power" rule.
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| 13) Explain the "power-of-a-product" rule.
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| 14) Simplify.
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| 15) Simplify.
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| 16) Simplify.
Hint: When multiplying same bases, add the exponents.
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| 17) Explain the pattern of even and odd exponents on negative bases.
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| 18) Simplify.
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| 19) Simplify.
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| 20) Simplify: using more than one rule.
Note: The carat(^) is accessed on the keyboard using Shift + 6.
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| 24) Simplify. (–4x – 3y) – (–7x – 2y)
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
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| 25) Simplify. (–2m + 4n) + (3m – 5n) – (7m + 6n)
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
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| 26) Write an equation for the following situation, and then solve the equation. Pam has $32. How many hours can Pam bowl if bowling costs $5 plus $3 per hour?
Click here to review the unit content explanation for Integers and Equations.
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In the following problems, solve each equation.
Click here to review the unit content explanation for Rational Numbers and Exponents.
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| 35) Explain how you used the elimination process to solve the previous problem.
Click here to review the unit content explanation for More Systems of Equations.
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| 36) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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