Algebra 1 First Semester Exam Review

Front

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

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 using the formula m = (y2 - y1) / (x2 - x1).

Front

What does an open dot represent when graphing inequalities?

Back

An open dot indicates that the value at that point is not included in the solution set, used for inequalities with < or >.

Front

What does a closed dot represent when graphing inequalities?

Back

A closed dot indicates that the value at that point is included in the solution set, used for inequalities with ≤ or ≥.

Front

How do you solve a system of equations by graphing?

Back

To solve by graphing, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is the solution to a system of equations?

Back

The solution is the point where the graphs of the equations intersect, representing the values of the variables that satisfy both equations.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the graph that satisfies the inequality.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

To convert, solve for y in terms of x: y = -A/B * x + C/B.

Front

What does the graph of the inequality x > 3 look like?

Back

The graph is a vertical line at x = 3 with an open dot, shading to the right.