Evaluating Expressions Worksheet

Evaluating Expressions Worksheet


Grade Levels
5th to 7th Grade

Focused Skills
Basic Arithmetic Operations, Algebraic Thinking, Word Problem Interpretation, Logical Reasoning, Problem Solving, Understanding of Variables and Constants, Perimeter and Geometry, Proportional Reasoning

File Format
Printable PDF and Online Math Quiz

Evaluating Expressions Word Problems – Try Interactive Worksheet

15 Word Problems
Collect 15 Points

If the perimeter of a square is 36 cm, what is the length of one side?

Emily has 10 candies. She gives 4 candies to her friend and divides the rest equally between her 2 brothers. How many candies does each brother get?

Tom bought 5 notebooks. Each notebook costs $3. How much did Tom spend on notebooks?

If Sarah earns $7 per hour and worked 8 hours, how much did she earn?

The product of a number and 5 is 25. What is the number?

A bag contains 20 marbles. If 5 are red, 8 are blue, and the rest are green, how many green marbles are there?

Mike is 3 years younger than twice Jane's age. If Jane is 5, how old is Mike?

Mark has 2 times the number of pencils as John. If John has 5 pencils, how many pencils does Mark have?

A rectangle has a length of 6 cm and a width that is 2 cm less than the length. What is the width?

A book has 120 pages. If you read 30 pages a day, how many days will it take to finish the book?

The sum of three consecutive numbers is 24. What is the middle number?

If there are 12 cookies and you divide them equally among 4 friends, how many cookies does each friend get?

David buys 4 pencils at $2 each and a notebook for $6. How much does he spend in total?

Alice has 3 more than twice the number of apples that Ben has. If Ben has 4 apples, how many does Alice have?

If there are 5 rows of chairs with 6 chairs in each row, how many chairs are there in total?


 

About evaluating expressions worksheet Worksheet​

This Evaluating Expressions Worksheet is designed for students in 5th to 7th grade. It provides them with 15 interesting word problems to improve their mathematical skills. Each problem is presented in a relatable, real-world context, encouraging students to apply their knowledge of basic arithmetic and algebraic thinking. The worksheet helps students practice solving expressions and improve essential skills like logical reasoning and problem-solving.

The problems range in difficulty, allowing students to build confidence as they progress. From understanding how to evaluate simple expressions, such as multiplying or dividing quantities, to interpreting more complex relationships involving variables and constants, this worksheet provides a comprehensive math challenge. For instance, students will tackle problems like calculating the perimeter of geometric shapes, working with consecutive numbers, and solving proportion-based questions.

Skills Focused:

  • Basic Arithmetic Operations: Students will apply addition, subtraction, multiplication, and division to solve problems.
  • Algebraic Thinking: Students will evaluate expressions involving variables and constants, helping them understand algebra’s foundational concepts.
  • Word Problem Interpretation: The worksheet enhances comprehension as students break down word problems to find solutions.
  • Logical Reasoning: By understanding the relationships in the problems, students will improve their ability to think critically and logically.
  • Problem Solving: Each word problem requires students to use multi-step reasoning, fostering strong problem-solving abilities.
  • Perimeter and Geometry: Students will practice using their geometry skills to calculate the perimeter of various shapes.
  • Proportional Reasoning: Problems related to proportions, such as dividing and multiplying quantities, will challenge students to think proportionally.

Additionally, this worksheet is available for download in PDF format, or students can try an interactive version as a quiz online. It’s a great tool for classroom activities and home practice, providing immediate feedback and ensuring mastery of the concepts for students at this level.

How to Resolve Evaluating Expressions Word Problem
Step-by-Step Solution


“Alice has 3, more than twice the number of apples that Ben has. If Ben has 4 apples, how many does Alice have?”


  1. Understand the Problem: The problem says that Alice has 3 more than twice the number of apples Ben has. Ben has 4 apples. You need to figure out how many apples Alice has.
  2. Identify the Mathematical Expression: The relationship between Alice’s apples and Ben’s apples can be written as an expression:

    “Twice the number of apples Ben has” means multiplying Ben’s apples by 2:
    2×4=8

    “3 more than twice” means adding 3 to this result:
    8+3=11
  3. Write the Equation: The equation that represents the number of apples Alice has can be written as:
    A=2B+3
  4. Where:

    A is the number of apples Alice has.
    B is the number of apples Ben has.
  5. Substitute the Known Value: Since we know Ben has 4 apples, substitute B=4 into the equation:
    A=2(4)+3
  6. Perform the Calculations:

    First, calculate 2×4=8.
    Then, add 3: 8+3=11
  7. Answer: Alice has 11 apples.

By breaking the problem into smaller parts, you can easily interpret the word problem and evaluate the expression. This process encourages logical thinking and strengthens your algebraic skills, which are essential for more complex math problems.

In this way, the worksheet helps students practice translating real-life scenarios into mathematical expressions for accurate solutions.

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