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6-8 Accelerated 7 Unit 3 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 4
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Lesson 6
Lesson 7
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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 3, Lesson 10

Using Equations to Solve Problems

Accelerated 7

Practice

Problem 1

Match each story to an equation and its solution.

Equations:

\(5x-7=3\)
\(7=3(5+x)\)
\(3x+5=\text-7\)
\(\frac13(x+7)=5\)

Solutions:

\(x=\text{-}4\)
\(x=\frac {\text{-}8}{3}\)
\(x=2\)
\(x=8\)

Stories:

The temperature is \(\text-7\). Since midnight the temperature tripled and then rose 5 degrees. What was the temperature at midnight?
Jada has 7 pink roses and some white roses. She gives all of them away: 5 roses to each of her 3 favorite teachers. How many white roses did she give away?
A musical instrument company reduced the time it takes for a worker to build a guitar. Before the reduction it took 5 hours. Now they can build 3 guitars in 7 hours. By how much did they reduce the time it takes to build each guitar?
A club puts its members into 5 groups for an activity. After 7 students have to leave early, there are only 3 students left to finish the activity. How many students were in each group?

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Lesson 10 Resources

Student Materials

Problem 2

A baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached 538 pounds. How much did he gain each month?

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Problem 3

Six teams are out on the fields practicing soccer. The teams all have the same number of players. A coach asks 2 players from each team to help move some equipment. Now there are 78 players on the fields. Write and solve an equation whose solution is the number of players on each team.

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Problem 4

ForLesson 16: Writing Equations for Lines

The points \((2,\text-4)\), \((x,y)\), \(A\), and \(B\) all lie on the line. Write an equation that describes the line.

graph. horizontal axis, scale 0 to 11, by 1's. vertical axis, scale -5 to 3, by 1's.

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Problem 5

ForLesson 3: Making the Moves

For each pair of polygons, describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.

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