GGG Review

GGG Review

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is exponential decay?

Back

Exponential decay is a decrease in a quantity that follows the formula: \(N(t) = N_0 e^{-kt}\), where \(N_0\) is the initial amount, \(k\) is the decay constant, and \(t\) is time.

2.

FLASHCARD QUESTION

Front

How do you calculate the value after a certain number of years with a decay rate?

Back

To calculate the value after a certain number of years with a decay rate, use the formula: \(V = V_0 (1 - r)^t\), where \(V_0\) is the initial value, \(r\) is the decay rate, and \(t\) is the time in years.

3.

FLASHCARD QUESTION

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10, e.g., \(5.23 \times 10^7\).

4.

FLASHCARD QUESTION

Front

How do you convert a number to scientific notation?

Back

To convert a number to scientific notation, move the decimal point to create a number between 1 and 10, and count the number of places moved to determine the exponent of 10.

5.

FLASHCARD QUESTION

Front

What is the formula for the diagonal of a rectangle?

Back

The formula for the diagonal \(d\) of a rectangle with length \(l\) and width \(w\) is: \(d = \sqrt{l^2 + w^2}\).

6.

FLASHCARD QUESTION

Front

What is the initial value in a decay problem?

Back

The initial value in a decay problem is the starting amount before any decay has occurred, often denoted as \(V_0\).

7.

FLASHCARD QUESTION

Front

How do you simplify a fraction in scientific notation?

Back

To simplify a fraction in scientific notation, divide the coefficients and subtract the exponents: \(\frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{m-n}\).

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