2021 Algebra 1 STAAR (Part 1 of 3)

Front

What is the solution to the equation 4 (y − 3) + 19 = 8 (2y + 3) + 7?

Back

The solution is -2.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the axis of symmetry for a quadratic function in the form y = ax^2 + bx + c?

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

What does it mean for a quadratic function to have exactly one zero?

Back

It means the graph of the function touches the x-axis at one point, indicating a repeated root.

Front

What is the general form of a quadratic function?

Back

The general form is p(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y: y = (-A/B)x + (C/B).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is a system of inequalities?

Back

A system of inequalities consists of two or more inequalities that are considered simultaneously.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the appropriate region based on the inequality sign.