Maryland Math 7.AT.C.8.c
The Standard
- 7.AT.C.8
- Use variables to represent quantities and write and solve equations to model and reason about relationships in context.
Solve word problems leading to equations of these forms and interpret the solution in terms of the context.
Maryland College and Career Ready Standards for Mathematics (2025) · MODEL WITH AND SOLVE EQUATIONS AND INEQUALITIES.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn a word problem into an equation, then solve for the unknown amount. They use the story to decide whether a charge applies once or to every item. They explain what their answer means.
What Mastery Looks Like
- Given four notebooks and a $3 total fee costing $27, a student writes 4x + 3 = 27 and finds x = 6. They check the total and say each notebook costs $6.
Common Misconceptions
- Students may write 4(x + 3) when the $3 fee applies only once. Some divide the full bill by four without subtracting the fee first. Others give $6 as the answer without saying what it buys.
How to Assess It
- Exit ticket: “Four notebooks cost the same amount each. With a $3 fee added once, the bill is $27. Write an equation, solve it, and explain your answer.”
Lesson moves
Ways to Teach It
Give pairs four paper bags and 27 counters; set aside three counters for the fee, then share the rest among the bags.
Ask: “How are four tickets plus one $3 fee different from four tickets with a $3 fee each?” Write both equations.
Play a card match with 3x + 2 = 20, 3(x + 2) = 21, and matching purchase stories; solve each match.
Show a mock receipt for three identical lunches and a $4 delivery charge, total $25; find the price of one lunch.
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Related Standards
- 6.AT.C.10
Solve problems in context by writing and solving inequalities and interpreting solution sets in context.
- 7.AT.C.7
Analyze contextual situations to determine whether an equation or inequality best represents the relationship between quantities. Justify the choice based on th...
- 6.AT.C.8
Solve problems in context by writing and solving equations and interpreting the solutions in context.
- 7.AT.C.9.c
Interpret the solution set in terms of the context by describing what values are possible or reasonable in the given situation.
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