What is the estimated length of hair after 10 weeks using the equation $$L = \frac{w}{4} + 8$$ ?

After 10 weeks, the estimated length is 10.5 cm.

How do you simplify $$2(2\sqrt{4})^{-2}$$ ?

The simplified result is $$\frac{1}{8}$$ .

What is the first step in simplifying an expression with exponents?

Apply the exponent rules, such as $$a^{-n} = \frac{1}{a^n}$$ .

What does it mean if light takes 80 minutes to travel from the Sun to Saturn?

It means that the distance from the Sun to Saturn is such that light takes 80 minutes to cover it.

What is the difference in time for light to travel from the Sun to Mercury and Saturn?

The difference is approximately 80 minutes.

What is the significance of understanding compound inequalities in algebra?

They help in determining the range of values that satisfy multiple conditions.

How can you represent the solution of an inequality graphically?

By shading the region on a number line that satisfies the inequality.

What is the importance of units in distance and time calculations?

Units ensure that calculations are consistent and meaningful, such as km and seconds.

Keystone Algebra: Module 1 Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the speed of light in kilometers per second?

Back

The speed of light is approximately 300,000 km per second.

2.

FLASHCARD QUESTION

Front

How do you calculate the time it takes for light to travel a certain distance?

Back

Time (in seconds) = Distance (in km) / Speed of light (300,000 km/s).

3.

FLASHCARD QUESTION

Front

What is a compound inequality?

Back

4.

FLASHCARD QUESTION

Front

Back

It means that x is greater than a and less than b.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

The solution is the interval [0, 3].

7.

FLASHCARD QUESTION

Front

Back

Substitute w with the number of weeks and calculate L.

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