Algebra 1 Semester 1 Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for a system of equations to have no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

How do you convert the equation 3x - 4y = 8 into slope-intercept form?

Back

Rearranging gives y = 3/4x - 2.

Front

What is the slope of the line represented by the equation -3x + 5y = -15?

Back

The slope is 3/5 after converting to slope-intercept form.

Front

What is the y-intercept of the equation y = 3/4x - 2?

Back

The y-intercept is -2.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

What is the graphical representation of the equation y = 2x + 1?

Back

A straight line with a slope of 2 and a y-intercept of 1.

Front

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

Back

Substitute the point's coordinates into both equations; if both are true, it is a solution.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.

Front

What is the purpose of graphing a system of equations?

Back

To visually find the point(s) of intersection, which represent the solutions.