Questions and Answers
What is the next number in the following series of numbers?
42
If A = 6 and B = 0 in the formula A = (B - 2)(C + 5), what is the value of C?
-8
Factor the polynomial x² - 3x - 18.
(x + 3)(x − 6)
If D is greater than -1, E is positive for the formula 3D = E - 3.
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Evaluate the expression: For x = 11, what is x² - 15x + 56?
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If Y = 27 and Z = Y/9, what is the value of X = Y x Z?
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If A = 3 and B = 1, what is the value of C in the formula (B + C)/2 = 2A - B?
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Factor the polynomial 2x² − 2.
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If D is greater than -1, E is positive for the formula 3D = E - 3.
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What is the next number in the following series of numbers: 16, 29, 42, 55, 68?
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Study Notes
Series Completion
- The next number in the series 16, 29, 42, 55, 68 is 81, indicating a consistent increment pattern of 13.
Algebraic Formulas
- For the equation A = (B - 2)(C + 5), with A set to 6 and B as 0, the value of C is calculated as -8.
- In the formula 3D = E - 3, when D is greater than -1, E must be positive.
Polynomial Factoring
- The polynomial x² - 3x - 18 factors into (x + 3)(x - 6), demonstrating the factorization technique used for quadratic equations.
- The expression 2x² - 2 factors to (2x + 2)(x - 1), showcasing factoring where a common term can be identified.
Expression Evaluation
- Evaluating the expression x² - 15x + 56 for x = 11 results in 12, exemplifying substitution in polynomials.
- For the unknown variable X, given Y = 27, Z = Y/9, results in X = 81 through multiplication of variables.
Additional Polynomial Factoring
- The repetitive claim about the formula 3D = E - 3 reinforces the relationship between D and E concerning their values.
Consistency in Mathematics
- Each card emphasizes fundamental algebraic concepts, including series, equations, and polynomials, which are crucial for electrical aptitude tests.
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Description
Practice your electrical aptitude skills with these flashcards featuring questions on number series, formulas, and polynomial factoring. Perfect for anyone preparing for the IBEW aptitude test, these questions will help you solidify your understanding of critical concepts.
