Unit 3, Lesson 9

Different Options for Solving One Equation

Accelerated 7

Practice

Problem 1

Solve each equation.

\(2(a-3) = 14\)

\(\text-5(b-1) = 40\)

\(12(c+10)=24\)

\(\frac16(d+6)=11\)

\(\frac57(e-9)=25\)

Problem 2

Select all expressions that represent a correct solution to the equation \(6(x+4)=20\).

\((20-4)\div 6\)
\(\frac16(20-4)\)
\(20-6-4\)
\(20\div6-4\)
\(\frac16(20-24)\)
\((20-24)\div 6\)

Problem 3

Lin and Noah are solving the equation \(7(x+2)=91\).

Lin starts by using the distributive property. Noah starts by dividing each side by 7.

Show what Lin's and Noah's full solution methods might look like.
What is the same and what is different about their methods?

Problem 4

ForLesson 5: Reasoning about Equations and Tape Diagrams (Part 2)

Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation \(2(x+20)=90\) describes this situation. Match each expression with the part of the story it represents.

\(x\)
\(x+20\)
\(2(x+20)\)
90

The number of minutes that Jada walked
The number of minutes that Elena walked
The number of minutes that Lin walked

Problem 5

ForLesson 15: Meet Slope

Use a straightedge to draw two lines: one with slope \(\frac{3}{7}\) and one with slope \(\frac{7}{3}\).

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