Algebra

Equations, inequalities, polynomials, and algebraic expressions.

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Algebra

QUESTION NO 01
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(x + 3)(x + 2) expands to?

Answer: x² + 5x + 6
FOIL: x² + 2x + 3x + 6 = x² + 5x + 6.
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QUESTION NO 02
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Solve: x/4 = 3. x = ?

Answer: 12
x = 3 × 4 = 12.
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QUESTION NO 03
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Solve: 3x − 6 = 0. x = ?

Answer: 2
3x = 6 ⇒ x = 2.
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QUESTION NO 04
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The slope of y = 3x + 2 is?

Answer: 3
In y = mx + c, m = 3.
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QUESTION NO 05
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Simplify: 3x + 2x

Answer: 5x
Like terms: 3x + 2x = 5x.
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QUESTION NO 06
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Factor: x² − 9

Answer: (x − 3)(x + 3)
Difference of squares: a² − b² = (a−b)(a+b).
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QUESTION NO 07
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If y = 2x and x = 4, then y = ?

Answer: 8
y = 2×4 = 8.
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QUESTION NO 08
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Solve: x + 5 = 12. x = ?

Answer: 7
x = 12 − 5 = 7.
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QUESTION NO 09
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Solve: 2x = 18. x = ?

Answer: 9
x = 18/2 = 9.
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QUESTION NO 10
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Degree of polynomial 4x³ + x − 1 is?

Answer: 3
Highest power of x is 3.
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