What is the solution to the quadratic equation $$3x^2 - 11x = -6$$ ?

The solutions are $$\frac{2}{3}, 3$$ .

Simplify the expression $$\left(\frac{3x^6y^{-2}}{4x^2y^3}\right)^{\frac{1}{3}}$$ .

The simplified expression is $$\frac{3^{\frac{1}{3}}x^{\frac{4}{3}}}{4^{\frac{1}{3}}y^{\frac{5}{3}}}$$ .

What does it mean to simplify an algebraic expression?

To simplify an algebraic expression means to reduce it to its simplest form by combining like terms and applying mathematical operations.

What is the growth factor in an exponential function?

The growth factor is the base of the exponential function, which determines how much the function increases or decreases.

What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

What is the process to solve a quadratic equation using factoring?

To solve by factoring, rewrite the equation in the form $$(x - p)(x - q) = 0$$ and solve for $$x$$ .

What is the difference between growth and decay in exponential functions?

Growth occurs when the base $$b > 1$$ , while decay occurs when $$0

What is the power rule for exponents?

The power rule states that $$a^{m} \cdot a^{n} = a^{m+n}$$ .

What is the formula for evaluating a function at a given point?

To evaluate $$f(x)$$ at a point $$x = c$$ , substitute $$c$$ into the function: $$f(c)$$ .

What is the cube root of a number?

The cube root of a number $$x$$ is a number $$y$$ such that $$y^3 = x$$ .

Algebra Q3 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

What is the growth/decay factor for the exponential function given in the table?

Back

The growth/decay factor is 0.4.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

The result is 3.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of an exponential function?

Back

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