Podcast
Questions and Answers
Factor the quadratic equation $x² + 22x + 121 = 0$. What are its factors?
Factor the quadratic equation $x² + 22x + 121 = 0$. What are its factors?
(x + 11)(x + 11) or (x + 11)²
Calculate the profit made on a bicycle that costs $180 and is sold for $240. What is the profit amount?
Calculate the profit made on a bicycle that costs $180 and is sold for $240. What is the profit amount?
$60
Simplify the expression $3 - \frac{2}{8}$ into a single fraction. What is the simplified result?
Simplify the expression $3 - \frac{2}{8}$ into a single fraction. What is the simplified result?
$\frac{22}{8}$ or $\frac{11}{4}$
What are the cube roots of 729? Provide the answer.
What are the cube roots of 729? Provide the answer.
Signup and view all the answers
Find the value of 'x' for the equation $x² - 19x + 60 = 0$. What are the roots?
Find the value of 'x' for the equation $x² - 19x + 60 = 0$. What are the roots?
Signup and view all the answers
Study Notes
Equations and Factoring
- Factorize equations: x² + 22x + 121 = 0, x² - 3x - 28 = 0, x² + 9x + 22 = 0, x² - 19x + 60 = 0
- Find 'x' in equations
- Find square roots without calculators: √256, √289, √361, √625
- Calculate seconds in 2 hours
- Find profit when a bicycle is sold for $240 with a cost of $180
- Find cube roots without calculators: ³√1331, ³√125, ³√64, ³√729
Cost and Profit
- Calculate pen cost if nine pens cost $29
- Calculate the value of 'a' if a: 400 = 6:24
- Find the values for HCF of 168 and 140
Calculations
- Evaluate expressions: 12 + 6²−8, 6×3 + 8², 12 + 8 ÷ (9−5)
- Convert 72 km/h to m/s
- Evaluate expressions: 63 + 0.9, 0.4 × 0.06, 10 − 7.56, 5.6 + 0.08
Prime Factorization and Fractions
- Express 154 as a product of its prime factors
- Express fractions in simplest form (e.g., 3/2, 1½/ 8, 1½ x 1/3)
Factorization (Polynomial Equations)
- Completely factorize: 4m−6my−18mz, 8ax+12y-4az
- Factorize expressions: 81x² − 27x = 0, (x-3)² = 9, h² - 400 = 0, 400 = t - 250
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz covers various mathematical concepts, including the factorization of equations, solving for 'x', and calculating profit. You'll also practice simplifications, conversions, and prime factorization while honing your skills in algebra and arithmetic. Test your knowledge and boost your confidence in mathematics.
