Maryland Math 8.AT.B.5.d
The Standard
- 8.AT.B.5
- Analyze and solve systems of two linear equations in two variables.
Model and solve contextual problems using systems of two linear equations.
Maryland College and Career Ready Standards for Mathematics (2025) · MAKE SENSE OF AND SOLVE EQUATIONS, INEQUALITIES, AND SYSTEMS OF EQUATIONS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Name two unknown amounts in a story and write one equation for each relationship. Solve both equations together and explain what the answers mean.
What Mastery Looks Like
- For 30 tickets worth $198, with adult tickets at $8 and student tickets at $5, a student writes a + s = 30 and 8a + 5s = 198. They find 16 adult tickets and 14 student tickets, then check both totals.
Common Misconceptions
- Students may mix up the number of tickets with the money collected. They may solve only one equation or give two numbers without saying which group each number represents.
How to Assess It
- Exit ticket: A class sells 20 notebooks and pens for $56, with notebooks at $4 and pens at $2; write and solve two equations, then label each answer.
Lesson moves
Ways to Teach It
Give pairs 30 paper tickets and $8 adult and $5 student price cards; have them label tickets to reach $198 and write both equations.
Have students explain in writing why both ticket equations are needed and what the point (16, 14) means.
Run a partner match with story cards, equation-pair cards, and solution cards; partners check each solution against both equations.
Give students a food truck receipt for 24 total tacos and burritos costing $90, priced at $3 and $5; ask for each count.
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Printable 8.AT.B.5.d Worksheet
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Related Standards
- 7.AT.C.8.c
Solve word problems leading to equations of these forms and interpret the solution in terms of the context.
- 7.NOS.A.1.d
Model and solve multistep contextual problems involving addition and subtraction of rational numbers, using efficient and flexible strategies.
- 8.AT.B.5.a
Interpret the solution to a system of two linear equations as the point where their graphs intersect and verify that the coordinates of the intersection satisfy...
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