Two-Variable Equations Word Problems (A) - Complete the equations and tables

Sep 23, 2026

K-12 science-themed practice focuses on writing two-variable linear equations from real-world lab scenarios and completing value tables. Problems cover beakers per student, plant height per week, thermometer temperature increase per minute, remaining test tubes after classes, data points added per hour, reagent volume from drops, and bacteria growth over time. A challenge compares two labs’ volumes using algebraic equality. Includes a provided answer key verifying each equation and solution.

LanguageEnglish

CategoryExam

FormatPDF

Pages6

Reading Time15 min

AccessFree to download

Directions

Practice Problems

Challenge Problem

Answer Key

Name: Two-Variable Equations Word Problems (A) THE SCIENCE LAB Directions: For each problem: write an equation, complete the table of values, and answer the questions. 1. In science class, each student uses 3 beakers for an experiment. Write an equation for the total number of beakers b needed for s students. Complete the table. Equation: | Students (s) | Beakers (b) | | --- | --- | | 1 | | | 2 | | | 5 | | | 8 | | | 10 | | a) How many beakers are needed for 12 students? b) If 27 beakers are used, how many students are in the experiment? 2. A scientist records that a plant grows 4 cm every week, starting from 0 cm. Write an equation for the total height h after w weeks. Complete the table. Equation: | Weeks (w) | Height h (cm) | | --- | --- | | 1 | | | 3 | | | 5 | | | 7 | | | 10 | | a) How tall will the plant be after 15 weeks? b) After how many weeks will the plant be 52 cm tall? Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 3. A lab thermometer reads 5°C at the start. The temperature rises 3°C every minute. Write an equation for the temperature T after m minutes. Complete the table. Equation: | Minutes (m) | Temperature T (°C) | | --- | --- | | 0 | | | 2 | | | 4 | | | 6 | | | 10 | | a) What is the temperature after 8 minutes? b) When will the temperature reach 44°C? 4. A supply cabinet starts with 50 test tubes. Each lab class uses 6. Write an equation for the number of test tubes t remaining after c classes. Complete the table. Equation: | Classes (c) | Test Tubes (t) | | --- | --- | | 0 | | | 2 | | | 4 | | | 6 | | | 8 | | a) How many test tubes remain after 7 classes? b) After how many classes will the cabinet be empty? Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 5. A scientist records the total data points d collected over h hours. Use the table to write an equation relating h and d. Equation: | Hours (h) | Data Points (d) | | --- | --- | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | a) Write the equation. How did you determine the rate? b) How many data points after 9 hours? 6. A lab starts with a base solution. The table shows total volume V (mL) after adding d drops of a reagent. Write an equation for V in terms of d. Equation: | Drops (d) | Volume V (mL) | | --- | --- | | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | a) Write the equation. What does the 10 represent? b) What is the volume after adding 15 drops? Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 7. An experiment tracks the number of bacteria b in a sample after h hours. The equation is b = 50h + 200. Complete the table and answer the questions. Equation: | Hours (h) | Bacteria (b) | | --- | --- | | 0 | | | 1 | | | 2 | | | 4 | | | 6 | | a) What does the 200 represent in this situation? b) What does the 50 represent? Challenge Problem 8. Lab A starts with 10 mL of solution and adds 5 mL per minute (A = 5m + 10) . Lab B starts with 25 mLand adds 2 mL per minute (B = 2m + 25) . Complete the table for both labs. After how many minutes will both labs have the same volume? | Minutes (m) | Lab A (mL) | Lab B (mL) | | --- | --- | --- | | 0 | | | | 2 | | | | 4 | | | | 5 | | | | 8 | | | a) Show your work to find when Lab A = Lab B. b) What is the volume in each lab at that time? How can you check your answer? Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY 1.) 1. ) Equation: b = 3s Table: 1→3 2→6 5→15 8→2

FAQs

What should students do for each problem in this worksheet?

Write an equation, complete the table of values, and answer the questions for each scenario.

What does the worksheet’s challenge problem ask students to find?

It asks when Lab A and Lab B will have the same solution volume and what that volume is at that time.

How do the answer key responses help verify solutions?

The key provides the specific equations, completed table mappings, and final answers, allowing students to check their computed values and reasoning.

Sep 23, 2026

Uploaded by Riley West