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Grade 6 · unit review

Review: Solve Equations and Represent Constraints

Solve additive and multiplicative equations, interpret inequalities, and model dependent variables.

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Bring the unit skills together

Use these 4 new cases to check your reasoning. Choices are temporary and are not saved to an account, sent to staff or recorded as school grades. Download your current review choices before leaving or reloading.

Unit review questions
1. Solve x+6.5=18.
Need a hint?
  • Apply each balancing operation to both sides.
  • Check the result in the original equation, not only the last simplified line.
2. Solve 6x=27.
Need a hint?
  • Divide by the coefficient, not by the target value.
  • A solution need not be a whole number unless the model restricts it.
3. For real numbers x>7, which supplied value is a solution?
Need a hint?
  • Check whether the boundary is included by the sign.
  • Real-number and whole-number domains give different allowable solution sets.
4. A model uses y=4x, where x is whole packets and y is cards. Find y when x=7.
Need a hint?
  • Label both variables with units and domain restrictions.
  • A fictional rule does not certify how a real device behaves.

The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.

Use the skills in a new task

A model charge is y=4x, where x counts packs and y is dollars. Find x when y=28 and describe x>3 for a separate eligibility rule.

Work on paper or in your own document. Explain the choices you made.

  • Show the supplied quantities or shape attributes in a labeled model.
  • Explain each operation or classification using this unit’s definitions.
  • Check the result against the supplied situation.
Compare with a model response

4x=28 gives x=7 packs. For x>3 the real-number boundary three is excluded; values strictly to its right satisfy. If x counts whole packs, 4,5,6,... satisfy, which is a restricted domain.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.