Multiply Through: Real-world Applications in Medicine & Health
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on multiply through techniques within algebraic equations involving fractions, contextualized around medicine and health scenarios.
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Multiply Through: Real-world Applications in Medicine & Health
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the explanation below before attempting the questions.
1.
When solving equations with fractions, multiplying through means multiplying every term in the equation by the common denominator to clear the fractions. This simplifies the equation and makes it easier to solve.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: \frac{1}{2}x + 3 = 7
[2 marks]2.
Solve for y: \frac{3}{4}y - 2 = 1
[2 marks]3.
Solve for z: \frac{2}{3}z + 5 = 11
[2 marks]4.
Construct an equation with fractions that could be solved by multiplying through, and then solve it. (Example: \frac{1}{3}x + 4 = 7)
5.
A patient is prescribed a medication that requires \frac{1}{4} of a tablet per dose. If the total medication needed is represented by m, and the total number of doses is d, write an equation and solve for m if d = 8.
6.
A medicine bottle contains a mixture with \frac{2}{5} of a certain active ingredient. If a doctor needs a total of 18 units of active ingredient, how many units of the mixture are needed? Write and solve the equation by multiplying through.
7.
A health supplement recommends taking \frac{3}{4} of a teaspoon daily. How many teaspoons are needed for a 30-day supply? Write an equation and solve.
8.
A nurse administers medication where the dosage per patient is \frac{5}{8} ml. If a total volume of 20 ml is available, how many patients can be treated? Write and solve the equation by multiplying through.
9.
A health researcher models a process with the equation \frac{1}{2}x - 3 = 4. Solve for x to determine the parameter value.
[2 marks]10.
Identify and correct the mistake in solving: \frac{1}{3}x + 2 = 6. The student multiplied both sides by 3, then obtained x + 6 = 18, and concluded x = 12.
11.
A pharmacy mixes a solution with \frac{2}{3} of a liter of medicine. If a doctor requests a total of 5 liters, how many liters of the medicine must be in the mix? Write an equation and solve using multiply through.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet