What does it mean for a system of equations to have no solution?

It means the lines represented by the equations are parallel and never intersect.

What is the quadratic formula used for?

The quadratic formula is used to find the solutions of a quadratic equation, given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the vertex of a parabola?

The vertex is the highest or lowest point of the parabola, depending on its orientation.

How do you determine if a function is increasing or decreasing?

A function is increasing if its slope is positive and decreasing if its slope is negative.

What is the difference between a function and a relation?

A function is a specific type of relation where each input has exactly one output.

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Algebra I Fall Semester Exam 2024 Flashcards: 15 Cards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the solution set for $-4x + 10 \ge 5x + 55$ ?

Back

The solution set is $x \le -5$ .

2.

FLASHCARD QUESTION

Front

Evaluate f(x) = 3x - 4 at f(3).

Back

f(3) = 5.

3.

FLASHCARD QUESTION

Front

Which equation best represents the axis of symmetry for a parabola?

Back

The axis of symmetry is represented by $x = 2$ .

4.

FLASHCARD QUESTION

Front

What is the solution for the equation that has no intersection points?

Back

The solution is 'No solution'.

5.

FLASHCARD QUESTION

Front

Find the slope of the line given two points (1, 2) and (3, 0).

Back

The slope is -1.

6.

FLASHCARD QUESTION

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

7.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the line, indicating how steep it is.

8.

FLASHCARD QUESTION

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is $m = \frac{y2 - y1}{x2 - x1}$ .

9.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

The standard form is $Ax + By = C$ , where A, B, and C are integers.

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