Equation vs Expression Worksheet for Kids: Free PDF & Answers
An expression is a combination of terms, variables and constants which are connected by an operation in between, like addition and subtraction. An equation has an expression connected with an equal sign. For example, 5c+2 is an expression, and 5c+2=0 is an equation.
QUESTIONS:
1. Which of the following is an expression?
a. 5t-3
b. 6y-5=0
2. State where true or false:
a. 4r-7 is an expression.
b. 5t-9=0 is an expression.
3. Dinesh added 2 to five times y. Write down the same as a mathematical expression.
4. Match each of the images with their respective expressions:
5. Which of the following expression best describes the image?
Mango and Grape
a. y+2y
b. 2x+y
c. x+y
d. r+6y
6. Which of the following are equations?
a. z=5
b. 4z-5
c. r-7u
d. 56-p=90
7. Change the following into equations:
8. Identify the variable in each of the expressions:
a. 4l-5
b. 8-9f
c. 8u+5
d. 9-3g
9. Complete the following. Add all the fruits together to form an expression.
Empty expression
10. Identify the given as an expression or an equation:
11. Complete the following patterns involving expressions:
a. 5, 5+r, 5+2r,___,___,___
b. 6y-10, 6y-9, 6y-8, ___, ___, ___
12. Check whether the following is an expression or an equation.
a. 8h-5
b. 8h=5
13. Match the following statements with their respective equations:
14. Choose the equation that best suits the image:
Watermelon and banana
a. 5-t=8
b. 7+u=0
c. x+x+y=7
d. y-p=7
15. Find the value when a=3:
a. 5a-3
b. 9-2a
ANSWERS
1.
a. 5t-3 is an expression.
2.
a. True, 4r-7 is an expression.
b. False. 5t-9=0 is an equation.
3.
The mathematical expression is 5y+2.
4.
5.
b. The expression 2x+y is the correct option.
6.
a. z=5 is an equation.
b. 4z-5 is not an equation.
c. r-7u is not an equation.
d. 56-p=90 is an equation.
7.
8.
a. The variable in the expression, 4l+5 is l.
b. The variable in the expression, 8-9f is f.
c. The variable in the expression, 8u+5 is u.
d. The variable in the expression, 9-3g is g.
9.
Complete expression
The terms are 4x, 6y, 3p, 4q, 5m. The complete expression is 4x+6y+3p+4q+5m
10.
11.
a. The complete pattern is 5, 5+r, 5+2r, 5+3r, 5+4r, 5+5r
b. The complete pattern is 6y-10, 6y-9, 6y-8, 6y-7, 6y-6, 6y-5
12.
a. 8h-5 is an expression as it doesn’t involve any equal to sign.
b. 8h=5 is an equation as it involves an equal to sign.
13.
14.
c. x+x+y=7 is the expression that describes the image.
15.
a. The value of 5a-3 when a=3 is 12.
5a-3=5(3)-3=15-3=12
b. The value of 9-2a when a=3 is 3.
9-2a=9-2(3)=9-6=3
Importance of Equation Vs Expression Worksheets
Now that we have understood these two algebraic terms, we realise the need for the ideal practice ground where kids can learn these concepts well. This is where the Algebraic Expressions and Equations Worksheets can be used perfectly.
These worksheets have been designed to let the kids easily discover the Difference between Equations and Expressions and discover the right answer. Some questions have multiple choices, whereas others instruct you to find the equation or expression accordingly.
Benefits of Algebraic Expressions and Equations Worksheets
Solving these worksheets will help you to focus on the fundamental difference between an algebraic expression and an equation.
The answers to the worksheet questions will enable you to learn about different algebraic expressions and equations to follow.
Resolving doubts will be fine when you have the solution to all these worksheets. You can resolve all your queries and take your preparation for this topic to the next level.
Download Algebraic Expressions and Equations Worksheets PDF
Get the free PDF version of these worksheets and practice. Learn how to differentiate between an algebraic equation and an expression easily. Develop your answering skills well and learn to score more in the exams.
FAQs on Equation vs Expression Worksheet for Kids: Free PDF & Answers
1. What is the main difference between a mathematical expression and an equation?
The most important difference is that an equation contains an equals sign (=), showing that two quantities are equal, while an expression is a combination of numbers, variables, and operators without an equals sign. An equation is like a complete sentence stating a fact of equality, whereas an expression is like a phrase representing a single value.
2. What are the key components of an algebraic expression?
An algebraic expression is built from several key components:
- Variables: Symbols (like x or y) that represent an unknown number.
- Constants: Fixed numbers whose value does not change (like 5 or -10).
- Coefficients: The number multiplied by a variable (e.g., the '7' in 7x).
- Terms: The parts of the expression separated by plus or minus signs. For example, in 7x + 3, the terms are 7x and 3.
3. Why does an equation always have an equals sign while an expression does not?
An equation's fundamental purpose is to state a relationship of equality or balance between two sides. The equals sign (=) is the symbol that establishes this balance. For example, 2x + 1 = 9 means the quantity on the left is exactly the same as the quantity on the right. An expression, like 2x + 1, simply represents a value and doesn't make a claim of equality with anything else.
4. Why do we 'solve' an equation but only 'simplify' or 'evaluate' an expression?
This question highlights their different purposes. You solve an equation to find the specific value of the variable that makes the statement of equality true. For example, in x + 4 = 10, solving gives x = 6. You simplify an expression by combining like terms to make it more compact, such as turning 3x + 2 + 5x into 8x + 2. You evaluate an expression by substituting a given value for the variable to find its total value.
5. Can you give a real-life example of where an expression is used versus where an equation is needed?
Certainly. Here are examples:
- Expression Example: Imagine you are buying pens that cost ₹10 each. The total cost for 'p' pens can be represented by the expression 10p. This expression tells you the cost for any number of pens you choose.
- Equation Example: Now, if you have ₹50 and want to know exactly how many pens you can buy, you would set up the equation 10p = 50. Solving this equation tells you that p = 5, meaning you can buy exactly 5 pens.
6. How can you turn a simple word problem into a mathematical equation?
You can turn a word problem into an equation by identifying the unknown quantity, assigning it a variable, and translating the words into mathematical operations. For example, if the problem is 'A number is doubled and then 5 is added to get a result of 19', you would:
- Let the unknown number be x.
- 'Doubled' means multiplying by 2 (2x).
- '5 is added' means + 5 (2x + 5).
- 'Result is 19' means = 19.
- The final equation is 2x + 5 = 19.
7. If an expression and an equation both use numbers and variables, what makes them fundamentally different in algebra?
The fundamental difference lies in their purpose and structure. An expression is a mathematical phrase that represents a single, potentially variable, quantity. Its job is to name something (e.g., 'the cost of x items'). An equation, however, is a complete mathematical statement that asserts a relationship of equality between two expressions. Its job is to make a claim that can be proven true or false, which allows you to find unknown values.
