An item with original price p is discounted 25%. Rewrite p - 1/4p in a form that shows the fraction of the original price the customer pays.
Equivalent form: _____________
What does the new form reveal?
CCSS 7.EE.A.2 · rewrite forms to reveal meaning
Equivalent Expressions in Context Worksheets
Move beyond symbolic matching. Each problem starts with a real quantity model, asks for an equivalent form, and then asks what the new form makes easier to see—remaining groups, percent paid, fixed perimeter, or separated totals.
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Equivalent Expressions in Context
Equivalent expressions in context · Grade 7 standard · Seed 271801
1.
2.
Each of 4 teams receives x practice cards plus 2 challenge cards. Rewrite 4(x + 2) so the total number of regular and challenge cards is visible separately.
Equivalent form: _____________
What does the new form reveal?
3.
A rectangle has width x and length x + 8. Its perimeter can be written 2(x + 8) + 2x. Rewrite the expression to show the variable and fixed parts of the perimeter.
Equivalent form: _____________
What does the new form reveal?
4.
A rectangle has width x and length x + 2. Its perimeter can be written 2(x + 2) + 2x. Rewrite the expression to show the variable and fixed parts of the perimeter.
Equivalent form: _____________
What does the new form reveal?
5.
Each of 8 teams receives x practice cards plus 3 challenge cards. Rewrite 8(x + 3) so the total number of regular and challenge cards is visible separately.
Equivalent form: _____________
What does the new form reveal?
6.
A rectangle has width x and length x + 7. Its perimeter can be written 2(x + 7) + 2x. Rewrite the expression to show the variable and fixed parts of the perimeter.
Equivalent form: _____________
What does the new form reveal?
7.
An item with original price p is discounted 10%. Rewrite p - 1/10p in a form that shows the fraction of the original price the customer pays.
Equivalent form: _____________
What does the new form reveal?
8.
A rectangle has width x and length x + 6. Its perimeter can be written 2(x + 6) + 2x. Rewrite the expression to show the variable and fixed parts of the perimeter.
Equivalent form: _____________
What does the new form reveal?
9.
An item with original price p is discounted 30%. Rewrite p - 3/10p in a form that shows the fraction of the original price the customer pays.
Equivalent form: _____________
What does the new form reveal?
10.
A rectangle has width x and length x + 5. Its perimeter can be written 2(x + 5) + 2x. Rewrite the expression to show the variable and fixed parts of the perimeter.
Equivalent form: _____________
What does the new form reveal?
Construction rule: equations are built around known exact solutions, expression rewrites use exact rational arithmetic, 7.EE.3 money stays in integer cents, and inequality answer graphs are withheld until answers are revealed.
Teaching note 1
Equivalent expressions can highlight different features of the same quantity without changing its value.
Teaching note 2
A factored form often reveals equal groups or a unit structure; an expanded form often separates variable and fixed contributions.
Teaching note 3
In percent contexts, rewriting p - dp as (1 - d)p shows the share of the original amount that remains.
Continue the 7.EE progression
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Frequently asked questions
Is this just identifying equivalent expressions?
No. Students rewrite a contextual expression and interpret what the new form means.
Does this overlap with the percent generator?
The context may use percents, but the assessed skill here is algebraic rewriting and interpretation, not percent computation itself.