What is the formula for solving a quadratic equation in the form $$ax^2 + bx + c = 0$$ ?

Use the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

How do you find the y-intercept of the equation $$y = 3x + 4$$ ?

Set x = 0; the y-intercept is 4.

What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope and different y-intercepts.

What is the solution to the equation $$3x^2 + 5y = 6p$$ for x?

The solution is $$x = \sqrt{\frac{6p - 5y}{3}}$$ .

What is the definition of a function?

A function is a relation that assigns exactly one output for each input.

What is the difference between a linear equation and a quadratic equation?

A linear equation has a degree of 1, while a quadratic equation has a degree of 2.

How do you determine if a relation is a function?

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

What is the meaning of the term 'initial value' in a cost function?

The initial value is the starting cost before any additional charges are applied.

What does the term 'slope' refer to in a linear equation?

The slope refers to the rate of change of y with respect to x, indicating how steep the line is.

Algebra Bellwork 1/7/2025 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The initial value is 50.

2.

FLASHCARD QUESTION

Front

Back

It represents a cost that increases by $75 for each hour of service, with no initial fee.

3.

FLASHCARD QUESTION

Front

Back

Multiply both sides by 5, then isolate x to find x = -13.

4.

FLASHCARD QUESTION

Front

What system of equations represents the sum and difference of two ages being 97 and 19 respectively?

Back

5.

FLASHCARD QUESTION

Front

Back

It represents a vertical line with no 'run' and infinite 'rise'.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

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