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

The slope-intercept form of a linear equation is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

How do you determine the y-intercept of a linear function?

The y-intercept of a linear function is the point where the graph intersects the y-axis, found by setting $$x = 0$$ in the equation.

What is the significance of the vertex in a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola, and it can be found using the formula $$(-\frac{b}{2a}, f(-\frac{b}{2a}))$$ .

What is a polynomial?

A polynomial is a mathematical expression that consists of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

What is the difference between a small and large paintbrush in the context of a problem?

In the context of the paintbrush problem, small paintbrushes are represented by variable $$x$$ and large paintbrushes by variable $$y$$ , with a defined relationship between their quantities.

How do you graph a linear equation?

To graph a linear equation, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point, then draw a straight line through the points.

What is the relationship between the coefficients and the roots of a quadratic function?

The relationship between the coefficients and the roots of a quadratic function can be described by Vieta's formulas, which state that the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What does it mean for a function to be increasing or decreasing?

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

ALGEBRA 1 STAAR 2.0 review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What are the solutions of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry for a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

5.

FLASHCARD QUESTION

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation.

6.

FLASHCARD QUESTION

Front

What is the meaning of the term 'inequality' in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other, using symbols like <, >, ≤, or ≥.

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be linear?

Back

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