How do you solve for p in the equation $$200 + 25p = 675$$ ?

Subtract 200 from both sides: $$25p = 475$$ , then divide by 25: $$p = 19$$ .

What is the slope of a line perpendicular to the line represented by $$y = 2x + 3$$ ?

The slope of the perpendicular line is $$-1/2$$ .

What is the equation of a line perpendicular to $$y = 2x + 3$$ ?

The equation is $$y = -1/2x + 3$$ .

How do you determine if $$x = -4$$ is a solution to the equation $$3x - 4 = 5x + 4$$ ?

Substitute -4 into the equation and check if both sides are equal.

What is the solution to the equation $$3(-4) - 4 = 5(-4) + 4$$ ?

Both sides equal -16, so yes, $$x = -4$$ is a solution.

How do you solve for p in the equation $$p - b = w$$ ?

Add b to both sides: $$p = w + b$$ .

What is the rearranged form of the equation $$p - b = w$$ ?

The rearranged form is $$p = w + b$$ .

What is the meaning of the variable p in the equation $$p - b = w$$ ?

p represents a quantity that is determined by the values of w and b.

What is the significance of the constant 200 in the dinner cost equation?

It represents the base cost of the dinner before adding the cost per person.

What does the coefficient 25 represent in the dinner cost equation?

It represents the additional cost per person for the dinner.

How do you interpret the solution of $$p = 19$$ in a real-world context?

It indicates that 19 people can be accommodated for a total cost of $675.

Math 1 Unit 4A Review Free Response Flashcards

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1.

FLASHCARD QUESTION

Front

What is the total cost equation for a dinner where p is the number of people?

Back

2.

FLASHCARD QUESTION

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Back

3.

FLASHCARD QUESTION

Front

What does p = 19 represent in the context of the dinner cost equation?

Back

It represents that the cost for 19 people is $675.

4.

FLASHCARD QUESTION

Front

What is the total cost equation for a car rental company that charges $56 plus $0.30 per mile?

Back

5.

FLASHCARD QUESTION

Front

How do you find the number of miles driven if the total bill was $191?

Back

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

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