Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Grade 3 word problems worksheet focusing on writing equations with variables.

A math worksheet titled "Write equations with variables" for Grade 3, featuring three word problems involving variables, with a colorful illustration of a child holding a tablet and mathematical symbols.

A math worksheet titled "Write equations with variables" for Grade 3, featuring three word problems involving variables, with a colorful illustration of a child holding a tablet and mathematical symbols.

GIF 359×463 12 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1052325
Show Answer Key & Explanations Step-by-step solution for: Grade 3 word problems with equations and variables | Worsheets library

Problem Analysis:


The image contains three word problems that require writing equations with variables. Let's solve each problem step by step.

---

Problem 1:


Statement: Sean got \( m \) marks for his math test. Emma got 15 more marks than Sean. Emma’s score is 94.

#### Solution:
1. Let Sean's score be \( m \).
2. Emma's score is given as 15 more than Sean's score. Therefore, Emma's score can be expressed as:
\[
m + 15
\]
3. We are also told that Emma's score is 94. So, we can write the equation:
\[
m + 15 = 94
\]

#### Final Equation:
\[
\boxed{m + 15 = 94}
\]

---

Problem 2:


Statement: There are 6 books on the desk and \( b \) books on the shelf. There are 37 books in total.

#### Solution:
1. The number of books on the desk is given as 6.
2. The number of books on the shelf is given as \( b \).
3. The total number of books is the sum of the books on the desk and the books on the shelf. This is given as 37. So, we can write the equation:
\[
6 + b = 37
\]

#### Final Equation:
\[
\boxed{6 + b = 37}
\]

---

Problem 3:


Statement: The admission for a water park for an adult is 9 dollars. The admission for a child is \( x \) dollars, which is 4 dollars cheaper than the adult admission.

#### Solution:
1. The admission for an adult is given as 9 dollars.
2. The admission for a child is \( x \) dollars, and it is stated that this is 4 dollars cheaper than the adult admission. Therefore, we can express the child's admission as:
\[
x = 9 - 4
\]
3. Simplifying the right-hand side:
\[
x = 5
\]
However, since the problem asks for an equation, we keep it in the form:
\[
x = 9 - 4
\]

#### Final Equation:
\[
\boxed{x = 9 - 4}
\]

---

Summary of Solutions:


1. \( \boxed{m + 15 = 94} \)
2. \( \boxed{6 + b = 37} \)
3. \( \boxed{x = 9 - 4} \)

These equations represent the relationships described in the word problems. Each equation can be solved further if needed, but the task was to write the equations with variables.
Parent Tip: Review the logic above to help your child master the concept of creating linear equations from word problems worksheet.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all creating linear equations from word problems worksheet)

Equation Word Problems Worksheets
Linear Equations Word Problems Worksheets with Answer Key
System of Linear Equations - Word Problems Worksheet for 9th ...
Solving a Word Problem Using a Linear Equation in Y = mx + b ...
Linear Equations Word Problems Worksheets with Answer Key
Linear Equations in One Variable (Word Problems) worksheet | Live ...
One Variable Word Problems Notes and Worksheets - Lindsay Bowden
Section 8.5 word problems - Linear Equation Word Problems I. Word ...
Algebra 1 Worksheets | Word Problems Worksheets
Equation Word Problems Worksheets