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6-8 Accelerated 7 Unit 7 Lesson 1

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 •Unit 7 Unit 8 Unit 9

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•Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14

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Lesson 2
Lesson 3
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Lesson 10
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Lesson 13
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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 7, Lesson 1

Exponent Review

Accelerated 7

Practice

Problem 1

Write each expression using an exponent:

\(7 \boldcdot 7 \boldcdot 7 \boldcdot 7 \boldcdot 7\)
\(\left(\frac{4}{5}\right) \boldcdot \left(\frac{4}{5}\right) \boldcdot \left(\frac{4}{5}\right) \boldcdot \left(\frac{4}{5}\right) \boldcdot \left(\frac{4}{5}\right)\)
\((9.3) \boldcdot (9.3) \boldcdot (9.3) \boldcdot (9.3) \boldcdot (9.3) \boldcdot (9.3) \boldcdot (9.3) \boldcdot (9.3)\)
The number of coins Jada will have on the eighth day, if Jada starts with one coin and the number of coins doubles every day. (She has two coins on the first day of the doubling.)

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Problem 2

Lesson 1 Resources

Student Materials

Evaluate each expression:

\(2^5\)
\(3^3\)
\(4^3\)
\(6^2\)
\(\left(\frac{1}{2}\right)^4\)
\(\left(\frac{1}{3}\right)^2\)

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Problem 3

Clare made \$160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn’t touch the money in her account, she can find the amount she’ll have the next year by multiplying her current amount by 1.03.

How much money will Clare have in her account after 1 year? After 2 years?
How much money will Clare have in her account after 5 years? Explain your reasoning.
Write an expression for the amount of money Clare would have after 30 years if she never withdraws money from the account.

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Problem 4

ForLesson 1: Understanding Proportional Relationships

The equation \(y=5,\!280x\) gives the number of feet, \(y\), in \(x\) miles. What does the number 5,280 represent in this relationship?

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Problem 5

ForLesson 4: Introduction to Linear Relationships

The points \((2, 4)\) and \((6, 7)\) lie on a line. What is the slope of the line?

2
1
\(\frac43\)
\(\frac34\)

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Problem 6

ForLesson 12: Similarity

The diagram shows a pair of similar figures, triangle \(ABC\) and triangle \(ADE\). What is the center of dilation and the scale factor that moves the triangle \(ADE\) to triangle \(ABC\)?

<p>Coordinate plane, x 0 to 4, y 0 to 6. Line through point A, the origin, C at 1 comma 2, E at 3 comma 6. Segments connect A, &amp; C to point B at 1 comma 0. Segments connect E &amp; A to point D at 3 comma 0.</p><br>

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