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6-8 Accelerated 6 Unit 4 Lesson 10

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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 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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

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Lesson 4
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Lesson 6
Lesson 7
Lesson 8
Lesson 9
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Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
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Lesson 17
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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 4, Lesson 10

The Distributive Property, Part 3 (Optional)

Accelerated 6

Practice

Problem 1

For each expression, use the distributive property to write an equivalent expression.

\(4(x+2)\)
\((6+8)\boldcdot x\)
\(4(2x+3)\)
\(6(x+y+z)\)

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Problem 2

Lesson 10 Resources

Student Materials

Priya rewrites the expression \(8y - 24\) as \(8(y-3)\). Han rewrites \(8y-24\) as \(2(4y-12)\).
Are Priya's and Han's expressions each equivalent to \(8y-24\)? Explain your reasoning.

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Problem 3

Select all the expressions that are equivalent to \(16x + 36\).

\(16(x+20)\)
\(x(16+36)\)
\(4(4x+9)\)
\(2(8x+18)\)
\(2(8x+36)\)

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Problem 4

The area of a rectangle is \(30 + 12x\) square units. List at least 3 possibilities for the length and width of the rectangle, in units.

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Problem 5

ForLesson 7: Equal and Equivalent

Select all the expressions that are equivalent to \(\frac{1}{2}z\).

\(z + z\)
\(z \div 2\)
\(z \boldcdot z\)
\(\frac{1}{4}z + \frac{1}{4} z\)
\(2z\)

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Problem 6

ForLesson 6: Write Expressions with Variables

What is the perimeter of a square with side length:

3 cm?

7 cm?

\(s\) cm?
If the perimeter of a square is 360 cm, what is its side length?
What is the area of a square with side length:

3 cm?

7 cm?

\(s\) cm?
If the area of a square is 121 cm², what is its side length?

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Problem 7

ForLesson 4: Practice Solving Equations

Solve each equation.

\(10=4a\)

\(5b=17.5\)

\(1.036=10c\)

\(0.6d=1.8\)

\(15=0.1e\)

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