Podcast
Questions and Answers
What are the factors of the equation $x^2 + 22x + 121 = 0$?
What are the factors of the equation $x^2 + 22x + 121 = 0$?
(x + 11)(x + 11) or (x + 11)^2
Calculate the profit if a bicycle costs $180 and is sold for $240.
Calculate the profit if a bicycle costs $180 and is sold for $240.
$60
Find the cube root of $729$.
Find the cube root of $729$.
$9$
What is the square root of $361$?
What is the square root of $361$?
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Express $72 km/h$ in meters per second.
Express $72 km/h$ in meters per second.
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What is the H.C.F of $168$ and $140$?
What is the H.C.F of $168$ and $140$?
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Factorize the expression $4m - 6my - 18mz$ completely.
Factorize the expression $4m - 6my - 18mz$ completely.
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What are the prime factors of $154$?
What are the prime factors of $154$?
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Evaluate $12 + 6 \div 2 - 8$.
Evaluate $12 + 6 \div 2 - 8$.
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Study Notes
Equations and Factorization
- Factorize equations: x² + 22x + 121 = 0, x² - 3x - 28 = 0, x² + 9x + 22 = 0, x² - 19x + 60 = 0
- Identify values of 'x' in equations
- Find square roots without calculators (√256, √289, √361, √625)
Time and Costs
- Calculate seconds in 2 hours
- Determine profit from selling a bicycle
- Calculate cost of 4 pens if the price of 9 pens is known
- Establish a ratio equivalent to 400 : 6 : 24
Roots and Factorization
- Find cube roots without calculators (∛1331, ∛125, ∛64, ∛729)
- Factorize expressions completely (4m-6my-18mz, 8ax + 12y - 4az)
- Factorize expressions: 81x² - 27x = 0, (x-3)² = 9, h² - 400 = 0, 400 = t - 250
Highest Common Factor (HCF) and Evaluation
- Find HCF of 168 and 140
- Evaluate mathematical expressions
- 12 + 6² - 8
- 6 x 3 + 8²
- 12 + 8 ÷ (9 - 5)
- Convert km/h to m/s (72 km/h)
Prime Factorization and Fractions
- Express 154 as a product of its prime factors
- Simplify fractions (a) 3/2, (b) 13/8
- Evaluate sums and products with decimal numbers (63 + 0.9, 0.4 x 0.06, 10 - 7.56, 5.6 + 0.08)
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Description
This quiz covers a range of mathematical topics including factorization of equations, finding roots without calculators, and basic calculations related to time and costs. Students will also practice HCF and prime factorization, enhancing their problem-solving skills. Prepare to tackle different types of expressions and equations in this comprehensive math quiz!
