Algebra Class - Simple Equations Exercise 4.1
24 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What value of x satisfies the equation x + 3 = 0?

x = -3

If n + 5 = 19, is n = 1 a valid solution?

No

Solve the equation 5p + 2 = 17 for p.

p = 3

Express the statement 'The sum of numbers x and 4 is 9' as an equation.

<p>x + 4 = 9</p> Signup and view all the answers

What does the equation 3m/5 = 6 state in words?

<p>Three-fifths of m is 6.</p> Signup and view all the answers

What is the first step to solve the equation y - 4 = 4?

<p>Add 4 to both sides.</p> Signup and view all the answers

If b/2 = 6, what is the value of b?

<p>b = 12</p> Signup and view all the answers

Write the equation represented by '7 times m plus 7 gets you 77'.

<p>7m + 7 = 77</p> Signup and view all the answers

What is the first step to solve the equation 3n - 2 = 46?

<p>Add 2 to both sides.</p> Signup and view all the answers

How would you set up an equation based on Irfan having 7 marbles more than five times the number of marbles Parmit has and Irfan has 37 marbles?

<p>The equation is <code>5m + 7 = 37</code>.</p> Signup and view all the answers

What operation is performed first when solving the equation 20p/3 = 40?

<p>Multiply both sides by 3.</p> Signup and view all the answers

In the equation 10p + 10 = 100, what is the first step to isolate p?

<p>Subtract 10 from both sides.</p> Signup and view all the answers

Convert the ratio 2:3:5 into percentages.

<p>20%:30%:50%.</p> Signup and view all the answers

What is the profit percentage for the gardening shears bought for ₹250 and sold for ₹325?

<p>Profit% = 30%.</p> Signup and view all the answers

What equation represents Laxmi's father's age being 4 years older than three times Laxmi's age?

<p>The equation is <code>3y + 4 = 49</code>.</p> Signup and view all the answers

In solving 3p/4 = 6, what is the final step after multiplying both sides by 4?

<p>Divide both sides by 3.</p> Signup and view all the answers

What is the percentage decrease of a city's population if it drops from 25,000 to 24,500?

<p>2%</p> Signup and view all the answers

If Arun bought a car for ₹ 3,50,000 and the price increased to ₹ 3,70,000, what was the percentage increase?

<p>5.71%</p> Signup and view all the answers

How much does a T.V. sold for ₹ 10,000 at a profit of 20% cost?

<p>₹ 12,000</p> Signup and view all the answers

If Juhi sells a washing machine for ₹ 13,500 and incurs a loss of 20%, how much did she originally pay for it?

<p>₹ 16,875</p> Signup and view all the answers

What is the percentage of carbon in chalk if it contains calcium, carbon, and oxygen in the ratio 10:3:12?

<p>12%</p> Signup and view all the answers

Amina buys a book for ₹ 275 and sells it at a loss of 15%. What price does she sell it for?

<p>₹ 233.75</p> Signup and view all the answers

If 5% of a quantity equals 600, what is the whole quantity?

<p>₹ 12,000</p> Signup and view all the answers

What fraction of the population are children if females make up 30% and males make up 40%?

<p>30%</p> Signup and view all the answers

Study Notes

Simple Equations

  • Exercise 4.1 Focuses on solving and verifying simple equations.

  • Students complete a table by assessing whether given values satisfy the equation.

    • Examples: x + 3 = 0, 5x = 25, m/3 = 2
    • Values are tested to see if the equation holds true (Yes/No)

  • Exercise 4.1, Question 2 Evaluates solutions to equations.

    • Students check if a given value (in brackets) is a valid solution to an equation.
    • Examples: n + 5 = 19 (n = 1), 4p - 3 = 13 (p = -4)

  • Exercise 4.1, Question 3 Uses trial and error to solve equations.

    • Students find solutions through trial-and-error for equations like 5p + 2 = 17, 3m - 14 = 4.

  • Exercise 4.1, Question 4 Formulates equations from word problems.

    • Examples: "The sum of numbers x and 4 is 9" translates to x + 4 = 9, "Seven times m plus 7 gets you 77" becomes 7m + 7 = 77.

  • Exercise 4.1, Question 5 Converts equations into statements.

    • Examples: p + 5 = 7 => Equation: p + 5 = 15; 2m = 7 => Equation: p / 5 = 6

Further Topics

  • **Exercise 4.2 ** Covers solving and separating variables in equations

    • Solves equations like x - 1 = 0, x + 6 = 2, 3n - 2 = 46, 5m + 7 = 17

  • Page 2: Formulates equations related to word problems.

    • Examples included about marbles, ages, and triangle angles.

  • Page 4: Focuses on profit/loss calculations and percentages.

    • Calculating profit/loss percentage for various transactions.

  • Page 5: Concerns itself with simple interest calculations.

    • Calculates amounts to be paid at the end of a fixed time period for different principal amounts.

  • Page 6: Covers converting decimals to percentages and finding percentages of given values.

    • Examples of percentage calculations on numbers and quantities.
    • Questions include finding percentages from figures and understanding the concept of percentage.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Simple Equations PDF

Description

This quiz focuses on solving and verifying simple equations through various exercises. Students will assess if specific values satisfy given equations, evaluate solutions, apply trial and error methods, and formulate equations from word problems. Enhance your algebra skills with these practical problems.

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser