Final Algebra EOC Review - STAAR Questions

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Define slope in the context of a linear function.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you solve a system of linear equations?

Back

A system of linear equations can be solved using methods such as substitution, elimination, or graphing to find the point(s) where the equations intersect.

Front

What is the difference between independent and dependent variables?

Back

An independent variable is the variable that is changed or controlled in an experiment, while a dependent variable is the variable being tested and measured.

Front

Explain the concept of a function.

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a graph, or an equation.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a linear equation and its graph is a straight line. It has a constant rate of change.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0 and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.