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6-8 Accelerated 6 Unit 4 Lesson 13

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Unit 4, Lesson 13

Expressions with Exponents

Accelerated 6

Practice

Problem 1

Select all expressions that are equal to \(3 \boldcdot 3 \boldcdot 3 \boldcdot 3 \boldcdot 3\).

\(3 \boldcdot 5\)
\(3^5\)
\(3^4 \boldcdot 3\)
\(5 \boldcdot 3\)
\(5^3\)

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Lesson 13 Resources

Student Materials

Problem 2

Noah starts with 0 and then adds the number 5 four times.
Diego starts with 1 and then multiplies by the number 5 four times.
For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.

\(4 \boldcdot 5\)
\(4+5\)
\(4^5\)
\(5^4\)

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Problem 3

Decide whether each equation is true or false. Explain or show how you know.

\(9 \boldcdot 9 \boldcdot 3 = 3^5\)
\(7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3\)
\(\frac{1}{7} \boldcdot \frac{1}{7} \boldcdot \frac{1}{7} = \frac{3}{7}\)
\(4^1 = 4 \boldcdot 1\)
\(6 + 6 + 6 = 6^3\)

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Problem 4

What is the area of a square with side lengths of \(\frac35\) units?
What is the side length of a square with area \(\frac{1}{16}\) square units?
What is the volume of a cube with edge lengths of \(\frac23\) units?
What is the edge length of a cube with volume \(\frac{27}{64}\) cubic units?

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Problem 5

ForLesson 9: The Distributive Property, Part 2

Select all the expressions that represent the area of the shaded rectangle.

Area diagram. Rectangle partitioned into two smaller rectangles. One rectangle shaded blue.

\(3(10-c)\)
\(3(c-10)\)
\(10(c-3)\)
\(10(3-c)\)
\(30-3c\)
\(30-10c\)

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Problem 6

ForLesson 20: Dividing a Decimal by a Decimal

A ticket at a movie theater costs \$9.50. One night, the theater had \$33,402 in ticket sales.

Estimate about how many tickets the theater sold. Explain your reasoning.
How many tickets did the theater sell? Explain your reasoning.

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Problem 7

ForLesson 9: Fractional Lengths

Jada will build a fence around a rectangular garden that is \(8 \frac{1}{2}\) feet by \(6 \frac{1}{3}\) feet. Fencing comes in panels. Each panel is \(\frac{2}{3}\) of a foot wide. How many panels does Jada need? Explain or show your reasoning.

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