Home/Integrated Math 1/Lesson 86

Solve a system of equations using any method: word problems

Model word problems with systems and choose an efficient solving method.

Do this: Read the concept below, then try the quiz or activity.

Lesson 86 of 192
44%

Concept

Objective: Students will build and solve systems from word-problem contexts.

Estimated Time: 12 minutes

Standards:
HSA-CED.A.1HSA-REI.C.6

Define variables from context, write two equations, choose graphing/substitution/elimination, then interpret solution units.

Try it

Adult tickets cost $12, student tickets cost $8. 40 tickets sold for $400. Find each quantity.

Concept Check

Best first step in system word problems is:

Concept Check

How do you verify a context solution?

Common Misconception
Always verify your result in context instead of trusting a first pass.

Word-problem system workflow

These steps are out of order — can you fix them?

1.Define variables
2.Solve system with chosen method
3.Interpret and verify
4.Write equations from constraints

Short Answer

What makes one method “better” for a given word problem?

Mastery Check

Pass this check with at least 80% to unlock completion.

Question 1

Best first step in system word problems is:

Question 2

How do you verify a context solution?

Pass the mastery check (80%+) to unlock completion.