Solve multi-part equations leading to the form $${x+p=q }$$ and $${px=q}$$.
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The Jonas family had a really busy day. After leaving their home, Mrs. Jonas dropped son Cody at his tennis practice. She then drove daughter Kristin to her soccer game and stayed to watch. After the game, mother and daughter picked up Cody on the way home. Once home, Mrs. Jonas saw that they had driven 20 miles that day.
The map below shows the locations of where the Jonas family traveled. The car can only travel along the main streets (gridlines), and all distances between cross streets are the same distance. Assume Mrs. Jonas took the most direct routes to and from her destinations.
How far are the tennis courts from home?
Set up and solve an equation in one variable to find the distance between the tennis courts and home.
Busy Day, accessed on Feb. 28, 2018, 2:32 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.Sierra walks her dog Pepper twice a day. Her evening walk is two-and-a-half times as far as her morning walk. At the end of the week she tells her mom, “I walked Pepper for 30 miles this week!”
How long is her morning walk? Write and solve an equation.
Morning Walk, accessed on Feb. 28, 2018, 2:33 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.The school librarian, Mr. Marker, knows the library has 1,400 books, but he wants to reorganize how the books are displayed on the shelves. Mr. Marker needs to know how many fiction, nonfiction, and resource books are in the library. He knows that:
If these are the only types of books in the library, how many of each type of book are in the library?
Draw a tape diagram to represent the books in the library, and then write and solve an equation to determine how many of each type of book there are in the library.
Grade 6 Mathematics > Module 4 > Topic G > Lesson 29 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A town's total allocation for firefighters’ wages and beneﬁts in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and beneﬁts at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation.
Firefighter Allocation, accessed on Nov. 6, 2017, 9:04 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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