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 $361$?
Express $72 km/h$ in meters per second.
Express $72 km/h$ in meters per second.
What is the H.C.F of $168$ and $140$?
What is the H.C.F of $168$ and $140$?
Factorize the expression $4m - 6my - 18mz$ completely.
Factorize the expression $4m - 6my - 18mz$ completely.
What are the prime factors of $154$?
What are the prime factors of $154$?
Evaluate $12 + 6 \div 2 - 8$.
Evaluate $12 + 6 \div 2 - 8$.
Flashcards
Factorize x² + 22x + 121
Factorize x² + 22x + 121
Rewrite the equation as (x + 11)² = 0
Factorize x² + 9x + 22
Factorize x² + 9x + 22
Find two numbers that add up to 9 and multiply to 22. (x + 2)(x + 11)
Factorize x² - 19x + 60
Factorize x² - 19x + 60
Find two numbers that multiply to 60 and add to -19. (x-15)(x-4)
Find x in x² - 3x - 28 = 0
Find x in x² - 3x - 28 = 0
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Square root of 256
Square root of 256
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Square root of 289
Square root of 289
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Profit calculation
Profit calculation
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Cube root of 1331
Cube root of 1331
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Cube root of 64
Cube root of 64
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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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