Pair Of Linear Equations Practice 3: Word Problems And Modelling

Practise focused skills from Pair of Linear Equations in Two Variables

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: Model the Situation · 5 questionsSection B: Apply and Analyse · 5 questions

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Section A: Model the Situation

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

The sum of two numbers is $40$ and their difference is $8$ . If the numbers are $x$ and $y$ with $x>y$ , which equations model this?

Topic: Word Problems · Skill: Convert contextual information into two equations

Question 2

MediumQuestion

A ticket counter sold adult tickets at $₹80$ and student tickets at $₹50$ . Total tickets sold were $30$ and total money collected was $₹2100$ . If adult tickets are $a$ and student tickets are $s$ , which pair is correct?

Topic: Word Problems · Skill: Convert contextual information into two equations

Question 3

MediumQuestion

A fruit seller sold $2$ kg apples and $3$ kg oranges for $₹360$ . Another customer bought $4$ kg apples and $1$ kg oranges for $₹440$ . If apple price is $a$ and orange price is $o$ per kg, what is $a$ ?

Topic: Word Problems · Skill: Solve daily-life simultaneous equation problems

Question 4

AdvancedQuestion

Two pens and three notebooks cost $₹160$ . Four pens and one notebook cost $₹140$ . What is the cost of one notebook?

Topic: Word Problems · Skill: Solve daily-life simultaneous equation problems

Question 5

MediumQuestion

A student defines $x$ as the present age of Riya and writes $x+5$ for Riya’s age $5$ years ago. What is the error?

Topic: Error Analysis · Skill: Identify inconsistent modelling errors

What this assignment covers

Convert daily-life situations into two equations, solve them, and catch modelling errors.

Skills and sections

Convert contextual information into two equations, Solve daily-life simultaneous equation problems, Identify inconsistent modelling errors, Check solutions in both equations, Use coefficient ratios to decide solution type

Section A: Model the Situation: 5 questions
Section B: Apply and Analyse: 5 questions