Podcast
Questions and Answers
Which of the following numbers is classified as non-real?
Which of the following numbers is classified as non-real?
- $\sqrt{27}$
- $\sqrt{-27}$ (correct)
- $\sqrt[3]{27}$
- $27$
The 11th prime number is 31. Between which two integers does $\sqrt{31}$ lie?
The 11th prime number is 31. Between which two integers does $\sqrt{31}$ lie?
5 and 6
What is 7.995 rounded to two decimal places?
What is 7.995 rounded to two decimal places?
- 7.90
- 7.99
- 8.01
- 8.00 (correct)
Round 59699 to the nearest thousand.
Round 59699 to the nearest thousand.
Simplify: $(2x - y)(3x^2 - xy - 2y^2)$
Simplify: $(2x - y)(3x^2 - xy - 2y^2)$
Factorize the expression: $2x^2y - 32y^3$
Factorize the expression: $2x^2y - 32y^3$
Which of the following is the correct factorization of $8x^3y^6 + 1$?
Which of the following is the correct factorization of $8x^3y^6 + 1$?
Factorize the expression: $7ax^3 - 10ax^2 + 3ax = ______(7x-3)(x-1)$
Factorize the expression: $7ax^3 - 10ax^2 + 3ax = ______(7x-3)(x-1)$
The expression $4x^3 - 20x^2 - 9x + 45$ can be factored into $(x-5)(4x^2 + 9)$.
The expression $4x^3 - 20x^2 - 9x + 45$ can be factored into $(x-5)(4x^2 + 9)$.
Match each number with its correct classification:
Match each number with its correct classification:
Flashcards
Rational Number
Rational Number
A number that can be expressed as a fraction p/q, where p and q are integers and q is not zero.
Irrational Number
Irrational Number
A number that cannot be expressed as a fraction p/q, where p and q are integers.
Non-real number
Non-real number
Numbers that involve the square root of a negative number, expressed using 'i', where i² = -1.
Round off to decimal places
Round off to decimal places
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Factorize
Factorize
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Simplify
Simplify
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Study Notes
- This is an informal test for Grade 10 Algebra
Question 1
- Determine if the number ∛27 is rational, irrational, or non-real
- Determine if the number ∛-27 is rational, irrational, or non-real
- Determine if the number √27 is rational, irrational, or non-real
- Determine between which two integers does the square root of the 11th prime number lie
- Round off 7,995 to two decimal places
- Round off 59699 to the nearest thousand
Question 2
- Simplify the expression (2x - y)(3x² – xy - 2y²)
- Factorize the expression 2x²y - 32y³
- Factorize the expression 8x³y⁶ + 1
- Factorize the expression 7ax³ – 10ax² + 3ax
- Factorize the expression 4x³ - 20x² − 9x + 45
- Total marks = 20
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