A rectangle has perimeter 36 cm. Its length is 8 cm and its width is x cm. Write an equation in the form 2(x + q) = r and solve for x.
Equation: ____________________
Solution: ____________________
CCSS 7.EE.B.4a · model, solve & compare approaches
Grade 7 Equation Word Problem Worksheets
Translate a situation into px + q = r or p(x + q) = r, solve it algebraically, then compare that sequence with the arithmetic operations you would perform if the unknown were not written as a variable.
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Equation Word Problems
Equation word problems · Grade 7 standard · Seed 271801
1.
2.
A rental costs $8 per hour plus a one-time $15 fee. The total is $47. Write an equation and find the number of hours h.
Equation: ____________________
Solution: ____________________
3.
Each ticket pack has 7 tickets. After combining x new packs with 2 packs already on hand, there are 98 tickets. Write an equation and solve for x.
Equation: ____________________
Solution: ____________________
4.
A club charges a $29 setup fee plus $8 per month. A member has paid $117 total. Write an equation and determine the number of months m.
Equation: ____________________
Solution: ____________________
5.
Each ticket pack has 3 tickets. After combining x new packs with 7 packs already on hand, there are 45 tickets. Write an equation and solve for x.
Equation: ____________________
Solution: ____________________
6.
Each ticket pack has 6 tickets. After combining x new packs with 7 packs already on hand, there are 90 tickets. Write an equation and solve for x.
Equation: ____________________
Solution: ____________________
7.
A rectangle has perimeter 32 cm. Its length is 8 cm and its width is x cm. Write an equation in the form 2(x + q) = r and solve for x.
Equation: ____________________
Solution: ____________________
8.
A club charges a $16 setup fee plus $13 per month. A member has paid $159 total. Write an equation and determine the number of months m.
Equation: ____________________
Solution: ____________________
9.
Each ticket pack has 8 tickets. After combining x new packs with 4 packs already on hand, there are 72 tickets. Write an equation and solve for x.
Equation: ____________________
Solution: ____________________
10.
A rectangle has perimeter 22 cm. Its length is 6 cm and its width is x cm. Write an equation in the form 2(x + q) = r and solve for x.
Equation: ____________________
Solution: ____________________
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
Define what the variable represents before writing the equation.
Teaching note 2
Match the order of quantities in the story to the structure of the equation instead of hunting for keywords alone.
Teaching note 3
The arithmetic solution and algebraic solution should use the same inverse-operation sequence even though one is written without a variable.
Continue the 7.EE progression
Move to another Grade 7 algebra skill
More skills in this set
Frequently asked questions
Do answer keys show the equation?
Yes. The key includes the modeled equation, the solution, and a short arithmetic-path comparison.
Are these only money problems?
No. Contexts rotate among rental fees, rectangle perimeter, ticket packs, and subscription-style totals.