Algebra 1 Semester 1 Part1

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

How can you determine if two lines are parallel from their equations?

Back

If their slopes are equal and their y-intercepts are different.

Front

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

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point(s) where the lines intersect on a graph.

Front

What is the solution to the system of equations y = 2x + 4 and y = 2x - 3?

Back

No Solution (the lines are parallel).

Front

What is the solution to the system of equations y = 3x + 1 and y = -x + 5?

Back

(1, 4) (the lines intersect at this point).

Front

What does it mean to solve for y in an equation?

Back

To isolate y on one side of the equation, expressing it in terms of x.

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.