Algebra I Semester II Final Exam

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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 is the slope-intercept form of a linear equation?

Back

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

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.

Front

What does |x - a| = b represent?

Back

It represents two equations: x - a = b and x - a = -b, leading to two possible solutions.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs a straight line, typically in the form y = mx + b.

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients determine the slope and the position of the line on the graph.

Front

What is the solution to the system of equations 2x + 3y = 6 and x - y = 1?

Back

The solution is (3, 0).