STAAR Algebra 1 Practice Test

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a linear function from a table of values?

Back

The slope (m) can be found by taking the difference in y-values divided by the difference in x-values between two points: m = (y2 - y1) / (x2 - x1).

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It can be found using the formula (-b/2a, f(-b/2a)) for the function in the form f(x) = ax^2 + bx + c.

Front

What does it mean for y to be directly proportional to x?

Back

If y is directly proportional to x, it means that as x increases, y increases at a constant rate. This can be expressed as y = kx, where k is a constant.

Front

How do you solve for y in a direct proportion problem?

Back

To solve for y in a direct proportion problem, use the formula y = kx, where k is the constant of proportionality. You can find k using known values of x and y.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the slope of the line, which represents how much y changes for a unit change in x.

Front

How do you determine the rate of change from a table?

Back

To determine the rate of change from a table, calculate the change in the dependent variable (y) divided by the change in the independent variable (x) between two points.

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 the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).