Mathematics Grade 5 15 min

Solve a system of equations by graphing word problems

Solve a system of equations by graphing word problems

What you'll learn

  • Translate real-world scenarios presented in word problems into a system of two linear equations with two variables with 80% accuracy.
  • Graphically represent a system of two linear equations on a coordinate plane, accurately plotting at least 4 points per line to ensure accuracy, to visually identify the solution set.
  • Determine the solution(s) to a system of linear equations from a graph, correctly identifying the point(s) of intersection with 90% accuracy.
  • Interpret the solution(s) of a system of equations in the context of a word problem, explaining the meaning of the numerical values in relation to the original scenario in a clear and concise manner.
  • Verify the solution(s) obtained graphically by substituting the values into the original system of equations, demonstrating the equality and confirming the solution's validity.

Tutorial Preview

1

Mia saves $2 each week, starting with $4. Leo saves $3 each week, starting with $0. When will they have the same amount?

2

Fun Zone costs $20 plus $5 per hour. Arcade Land costs $10 plus $10 per hour. At how many hours is the cost the same?

3

A red bucket has 6L of water and fills 1L/min. A blue bucket is empty and fills 3L/min. When will they have the same amount?

Sample Practice Questions

Easy
Ana has 2 stickers, gets 2 more daily. Ben has 0, gets 3 daily. After how many days will they have the same number?
0.1 day
1.2 days
2.3 days
3.4 days
Easy
A plant is 5 cm tall and grows 1 cm per week. A seed starts at 0 cm and grows 2 cm per week. When will they be the same height?
0.3 weeks
1.4 weeks
2.5 weeks
3.6 weeks
Easy
A phone plan costs $10 plus $1 per GB. Another plan costs $3 per GB. At how many GB is the cost the same?
0.3 GB
1.4 GB
2.5 GB
3.6 GB

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Frequently asked questions

What grade level is "Solve a system of equations by graphing word problems"?

Solve a system of equations by graphing word problems is a Grade 5 Mathematics lesson on ExcelOS.

What will I learn in Solve a system of equations by graphing word problems?

You'll be able to: Translate real-world scenarios presented in word problems into a system of two linear equations with two variables with 80% accuracy; Graphically represent a system of two linear equations on a coordinate plane, accurately….

Is "Solve a system of equations by graphing word problems" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Solve a system of equations by graphing word problems?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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