What Is an Algebraic Equation?
Which of the following are NOT algebraic equations?
Indicate __all__ such answers.
Correct!
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This is an algebraic expression, not an algebraic equation, because it does not contain an equals sign.
Incorrect.
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This answer contains an equals sign, so it is an algebraic equation.
Incorrect.
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This answer _is_ an algebraic equation because it states that
$$\displaystyle 2.\overline{45}a^3 + 4.1a^2$$
is equal to
$$\displaystyle -12.\overline{3} + b$$.
That's right!
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This is an inequality, not an equation, because it contains the inequality sign (>), meaning "is greater than."
Incorrect.
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This answer _is_ an algebraic equation because it states that one algebraic expression,
$$\displaystyle \frac{4}{7}m$$,
is equal to another,
$$\displaystyle \frac{5\pi}{2}n^2 - \frac{1}{4}n$$.
$$\frac{4}{7}m = \frac{5\pi}{2}n^2 - \frac{1}{4}n$$
$$\sqrt{3} > \sqrt{x^2 + 4x + 5}$$
$$2.\overline{45}a^3 + 4.1a^2 = -12.\overline{3} + b$$
$$3x + 5(y^2 + 3) + 195x^3 - 0 = 4xy$$
$$7.6(3q + 5qr + 9r) - 0.9(q + r^2) + 8.07$$
Proceed to step