Mathematics Grade 6 15 min

Solve a system of equations using substitution: word problems

Solve a system of equations using substitution: word problems

What you'll learn

  • Translate real-world scenarios presented in word problems into systems of two linear equations with two variables with 80% accuracy.
  • Solve systems of two linear equations generated from word problems using the substitution method, verifying the solution algebraically, with 75% accuracy.
  • Interpret the solution to a system of equations in the context of the original word problem, including units and practical limitations, in a written explanation with 90% accuracy.
  • Apply the substitution method to solve systems of equations involving non-linear equations derived from word problems, demonstrating proficiency on at least 3 out of 4 problems.

Tutorial Preview

1

A pen and a notebook cost $7. The notebook costs $3 more than the pen. Find the cost of the notebook.

2

A farm has 10 animals (chickens and pigs). There are 28 legs total. How many pigs are there?

3

2 apples and 3 bananas cost $8. 1 apple and 3 bananas cost $7. What is the cost of one apple?

Sample Practice Questions

Easy
The sum of two numbers is 10. One is 4 more than the other. What is the smaller number?
0.3
1.4
2.6
3.7
Easy
A shirt and hat cost $15 total. The shirt is $5 more than the hat. Find the hat's cost.
0.$5
1.$7
2.$8
3.$10
Easy
You have 5 coins (dimes and nickels) worth 40 cents. How many dimes do you have?
0.1
1.2
2.3
3.4

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Frequently asked questions

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

Solve a system of equations using substitution: word problems is a Grade 6 Mathematics lesson on ExcelOS.

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

You'll be able to: Translate real-world scenarios presented in word problems into systems of two linear equations with two variables with 80% accuracy; Solve systems of two linear equations generated from word problems using the substitution….

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

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

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