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Model Rocket Launch Day: Recover the Records

Solve systems of two linear equations using model rocket launch schedules, equipment records, measurements, and revised plans.

Grade 8MathInteractive · Printable

Aligned to8.EE.C.8.c

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students represent launch-day constraints with two linear equations in two variables.
Students solve systems to recover unknown measurements, counts, rates, and times.
Students interpret solutions and check whether records satisfy both equations.

How to use

Have students define variables and write both equations before solving. Use the final problem to discuss why an equation transformation must preserve equality.

Curriculum

Common Core standard covered

8.EE.C.8.c

Solve real-world and math problems that lead to two linear equations in two variables.

Preview

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Name Date

Model Rocket Launch Day: Recover the Records

Use systems of equations to complete plans and check launch-day records.

Recover Missing Details

Write a system for each situation. Solve it and label your answers. Show your work on separate paper.

Launches are scheduled at equal time intervals. Let s be the number of minutes after 9:00 a.m. when slot 1 begins, and let d be the interval in minutes. Slot k begins s + (k − 1)d minutes after 9:00 a.m. Use the two records to recover s and d.

Scheduled Launch Slots
Slot number	Minutes after 9:00
3	14
7	38

Interval d = minutes; slot 1 begins minutes after 9:00 a.m.

Two identical nose weights and three identical metal rings have a mass of 39 g. Three of the nose weights and two of the rings have a mass of 41 g. What is the combined mass of one nose weight and one ring?

A. The combined mass is 18 g.
B. The combined mass is 20 g.
C. The combined mass is 14 g.
D. The combined mass is 16 g.

Two model rockets have a combined mass of 286 g. Asha adds 18 g to the lighter rocket and removes 8 g from the heavier rocket. The rockets then have equal masses. Find their original masses.

Originally lighter rocket: g; originally heavier rocket: g

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