Review: Reason with Signed Changes
Combine, multiply, divide, and solve for signed changes in supplied situations.
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.
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
Track a fictional elevator model; positive is upward. It starts at −2 units, changes +5, then −4. Separately calculate the total change for three intervals of −2 units each and the per-interval change for −12 units over four equal intervals. Finally write and solve the equation for a trip starting at −6 that gains 3 units per interval and ends at 9. Work on paper; no real elevator is involved.
Work on paper or in your own document. Explain the choices you made.
- Combine −2 + 5 − 4 to find position −1.
- Multiply 3 × (−2) to find total change −6.
- Divide −12 by 4 to find −3 units per interval.
- Solve −6 + 3x = 9 as x = 5 and check by substitution.
Compare with a model response
The first final position is −1. Three changes of −2 give −6 total, and −12 ÷ 4 = −3 per interval. For the last trip, −6 + 3x = 9 gives 3x = 15, so x = 5. Checking −6 + 3 × 5 = 9 verifies the count.
A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.