Explain the product of powers property.

When multiplying two powers with the same base, add the exponents: $$x^a \cdot x^b = x^{a+b}$$ .

Explain the power of a power property.

When raising a power to another power, multiply the exponents: $$(x^a)^b = x^{a \cdot b}$$ .

What is the quotient of powers property?

When dividing two powers with the same base, subtract the exponents: $$\frac{x^a}{x^b} = x^{a-b}$$ .

Define an exponential growth function.

An exponential growth function is a function that increases rapidly and can be modeled by the equation $$f(t) = a(1 + r)^t$$ where $$a$$ is the initial amount, $$r$$ is the growth rate, and $$t$$ is time.

What is the formula for compound interest?

The formula for compound interest is $$A = P(1 + \frac{r}{n})^{nt}$$ where $$A$$ is the amount of money accumulated after n years, $$P$$ is the principal amount, $$r$$ is the annual interest rate, and $$n$$ is the number of times that interest is compounded per year.

What does it mean for an exponent to be negative?

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent: $$x^{-a} = \frac{1}{x^a}$$ .

What is the difference between linear and exponential functions?

Linear functions have a constant rate of change, while exponential functions grow at a rate proportional to their current value.

Provide an example of an exponential function.

An example of an exponential function is $$f(x) = 2^x$$ , which doubles for each increase of 1 in $$x$$ .

Alg Honors Unit 4 Review Flashcards

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FLASHCARD QUESTION

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CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

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1

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CCSS.8.EE.A.1

3.

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Marburn has 80 total students in our High School. It is projected to grow at a rate of 2% every year. How many students will be in the High School in 5 years from now?

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88.3 students

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CCSS.HSF-LE.A.1C

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CCSS.8.EE.A.1

5.

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Which of the following is an exponential function?

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6.

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Define a positive exponent.

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CCSS.8.EE.A.1

7.

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What is the zero exponent rule?

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CCSS.8.EE.A.1

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