Algebra 1 STAAR 2019-Part 1

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the constant amount by which the dependent variable changes for each unit increase in the independent variable. It is often represented as 'rise over run' or the slope of the line.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. The function grows or decays at a constant percentage rate.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where 'a', 'b', and 'c' are constants and 'a' is not equal to zero.

Front

What does slope-intercept form represent?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, indicating the value of x when y equals zero.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line's slope is the negative reciprocal of the other's.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.