Podcast
Questions and Answers
What value of x satisfies the equation x + 3 = 0?
What value of x satisfies the equation x + 3 = 0?
x = -3
If n + 5 = 19, is n = 1 a valid solution?
If n + 5 = 19, is n = 1 a valid solution?
No
Solve the equation 5p + 2 = 17 for p.
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.
Express the statement 'The sum of numbers x and 4 is 9' as an equation.
What does the equation 3m/5 = 6 state in words?
What does the equation 3m/5 = 6 state in words?
What is the first step to solve the equation y - 4 = 4?
What is the first step to solve the equation y - 4 = 4?
If b/2 = 6, what is the value of b?
If b/2 = 6, what is the value of b?
Write the equation represented by '7 times m plus 7 gets you 77'.
Write the equation represented by '7 times m plus 7 gets you 77'.
What is the first step to solve the equation 3n - 2 = 46?
What is the first step to solve the equation 3n - 2 = 46?
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?
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?
What operation is performed first when solving the equation 20p/3 = 40?
What operation is performed first when solving the equation 20p/3 = 40?
In the equation 10p + 10 = 100, what is the first step to isolate p?
In the equation 10p + 10 = 100, what is the first step to isolate p?
Convert the ratio 2:3:5 into percentages.
Convert the ratio 2:3:5 into percentages.
What is the profit percentage for the gardening shears bought for ₹250 and sold for ₹325?
What is the profit percentage for the gardening shears bought for ₹250 and sold for ₹325?
What equation represents Laxmi's father's age being 4 years older than three times Laxmi's age?
What equation represents Laxmi's father's age being 4 years older than three times Laxmi's age?
In solving 3p/4 = 6, what is the final step after multiplying both sides by 4?
In solving 3p/4 = 6, what is the final step after multiplying both sides by 4?
What is the percentage decrease of a city's population if it drops from 25,000 to 24,500?
What is the percentage decrease of a city's population if it drops from 25,000 to 24,500?
If Arun bought a car for ₹ 3,50,000 and the price increased to ₹ 3,70,000, what was the percentage increase?
If Arun bought a car for ₹ 3,50,000 and the price increased to ₹ 3,70,000, what was the percentage increase?
How much does a T.V. sold for ₹ 10,000 at a profit of 20% cost?
How much does a T.V. sold for ₹ 10,000 at a profit of 20% cost?
If Juhi sells a washing machine for ₹ 13,500 and incurs a loss of 20%, how much did she originally pay for it?
If Juhi sells a washing machine for ₹ 13,500 and incurs a loss of 20%, how much did she originally pay for it?
What is the percentage of carbon in chalk if it contains calcium, carbon, and oxygen in the ratio 10:3:12?
What is the percentage of carbon in chalk if it contains calcium, carbon, and oxygen in the ratio 10:3:12?
Amina buys a book for ₹ 275 and sells it at a loss of 15%. What price does she sell it for?
Amina buys a book for ₹ 275 and sells it at a loss of 15%. What price does she sell it for?
If 5% of a quantity equals 600, what is the whole quantity?
If 5% of a quantity equals 600, what is the whole quantity?
What fraction of the population are children if females make up 30% and males make up 40%?
What fraction of the population are children if females make up 30% and males make up 40%?
Flashcards
Solving Equations (Trial and Error)
Solving Equations (Trial and Error)
Finding the value of a variable in an equation by testing different values.
Equation Solution (Satisfied/Unsatisfied)
Equation Solution (Satisfied/Unsatisfied)
A value for the variable that makes an equation true.
Separating Variables (Addition/Subtraction)
Separating Variables (Addition/Subtraction)
Using addition or subtraction to isolate a variable term in an equation.
Separating Variables (Multiplication/Division)
Separating Variables (Multiplication/Division)
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Equation
Equation
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Variable
Variable
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Solution to an equation
Solution to an equation
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Trial and Error Method
Trial and Error Method
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Solving linear equations
Solving linear equations
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Equation: 3n - 2 = 46
Equation: 3n - 2 = 46
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Profit
Profit
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Profit Percentage
Profit Percentage
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Loss Percentage
Loss Percentage
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Ratio to percentage conversion
Ratio to percentage conversion
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Equation: 5m + 7 = 17
Equation: 5m + 7 = 17
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Equation: 2l +7 = 87
Equation: 2l +7 = 87
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Percentage Decrease Calculation
Percentage Decrease Calculation
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Percentage Increase Calculation
Percentage Increase Calculation
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Finding the original price given a loss percentage
Finding the original price given a loss percentage
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Finding the percentage of a component in a mixture
Finding the percentage of a component in a mixture
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Simple Interest
Simple Interest
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Calculating percentage of a given number
Calculating percentage of a given number
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Study Notes
Simple Equations
-
Exercise 4.1 Focuses on solving and verifying simple equations.
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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)
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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)
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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.
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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.
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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
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**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
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Page 2: Formulates equations related to word problems.
- Examples included about marbles, ages, and triangle angles.
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Page 4: Focuses on profit/loss calculations and percentages.
- Calculating profit/loss percentage for various transactions.
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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.
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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.
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