×, ÷, +, -: Real-world Applications
Mathematics
Grade 8
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on algebraic fractions involving multiplication, division, addition, and subtraction within real-world contexts and procedural mastery.
Worksheet Preview
Full preview • 16 questions
×, ÷, +, -: Real-world Applications
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following questions to practice basic operations with algebraic fractions. Show your working in the grid spaces provided.
1.
Simplify the expression: (3/4)x + (2/4)x.
[2 marks]2.
Divide the algebraic fraction: (6x/8) ÷ (3/4).
[2 marks]3.
Calculate: (5/6) + (1/3).
[2 marks]B
Targeted Practice
Apply your knowledge to these intermediate problems involving algebraic fractions.
1.
Simplify: (x/2) + (3x/4) - (x/4).
[3 marks]2.
Calculate the value of: (4x/5) ÷ (2/5).
[3 marks]3.
Find the sum: (7/8) + (5/8) + (1/4).
[3 marks]4.
Divide: (9x/10) ÷ (3/5).
[3 marks]C
Real-world Applications
Solve these word problems involving algebraic fractions in practical contexts.
1.
A recipe requires (x/2) cups of sugar. If you want to make a batch that uses (3/4) of the sugar, how much sugar do you need? Express your answer as an algebraic fraction.
[3 marks]2.
A car travels (2x/3) km per hour. How far will it travel in 4 hours? Write your answer as an algebraic expression.
[3 marks]3.
A tank contains (x/5) liters of water. If it leaks (1/2) of the water, how much water is lost? Express your answer as an algebraic fraction.
[3 marks]D
Challenge & Extension
Tackle these advanced problems that extend your understanding of algebraic fraction operations.
1.
Construct an algebraic expression that, when simplified, equals (x + 2)/3 minus (x - 1)/4.
[4 marks]2.
If (a/b) + (c/d) = (ad + bc)/bd, find the sum of (x/3) and (2x/5).
[4 marks]E
Mixed Review
Answer these questions to review various operations with algebraic fractions.
1.
Calculate: (x/3) - (x/6).
[2 marks]2.
Simplify: (2x/5) ÷ (4/5).
[2 marks]3.
Add: (3/7) + (4/7).
[2 marks]F
Error Analysis
Below is a common mistake made when adding algebraic fractions. Identify and correct the error.
1.
Student's work: (x/2) + (x/4) = (x + x)/2 = 2x/2 = x.
Identify the mistake and correct the calculation.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet