Algebra S1 Final Review #3

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect and have no solution.

Front

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

Back

Front

How do you find the slope of a line given two points?

Back

Front

Back

Front

What is a linear function?

Back

Front

How do you determine if a point lies on a line represented by a linear equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the meaning of the y-intercept in a linear equation?

Back

Front

How can you represent a word problem as a system of equations?

Back

Identify the variables, write equations based on the relationships described in the problem, and include any constraints.