Mathematics Grade 8 15 min

Solve a system of equations using elimination: word problems

Solve a system of equations using elimination: word problems

What you'll learn

  • Identify the variables and write a system of two linear equations from a given real-world word problem with at least 80% accuracy.
  • Solve a system of two linear equations derived from a word problem using the elimination method, showing all steps clearly and obtaining the correct solution at least 70% of the time.
  • Explain the meaning of the solution in the context of the original word problem in a complete sentence, demonstrating understanding of the problem's variables and relationships.
  • Apply the elimination method to solve real-world problems involving systems of equations, including problems with fractional or decimal coefficients, with at least 60% accuracy.

Tutorial Preview

1

Two friends buy fruit. The sum of their apples is 8. The difference is 2. How many apples does each have?

2

A family bought 2 adult and 2 child movie tickets for $40. Another family bought 2 adult and 4 child tickets for $50. What is the price of a child ticket?

3

A farm has chickens and pigs. There are 10 animals in total. If there are 26 legs, how many chickens are there?

Sample Practice Questions

Easy
The sum of two numbers is 10 and their difference is 4. What is the larger number?
0.3
1.6
2.7
3.10
Easy
Solve the system: x + y = 9 and x - y = 1. What is the value of x?
0.3
1.4
2.5
3.6
Easy
Two angles add up to 90 degrees. Their difference is 20 degrees. What is the measure of the smaller angle?
0.35
1.45
2.55
3.70

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Frequently asked questions

What grade level is "Solve a system of equations using elimination: word problems"?

Solve a system of equations using elimination: word problems is a Grade 8 Mathematics lesson on ExcelOS.

What will I learn in Solve a system of equations using elimination: word problems?

You'll be able to: Identify the variables and write a system of two linear equations from a given real-world word problem with at least 80% accuracy; Solve a system of two linear equations derived from a word problem using the elimination method….

Is "Solve a system of equations using elimination: 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 using elimination: word problems?

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

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