Equations & Systems Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

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

Back

A system of equations has no solution when the equations represent parallel lines that never intersect.

Front

What is the solution to the equation 50 + 10w = 20 + 15w?

Back

w = 6.

Front

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

Back

You plot both equations on a graph and identify the point(s) where they intersect.

Front

What does the graph of intersecting lines represent in a system of equations?

Back

Intersecting lines represent a unique solution to the system of equations.

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

What is the y-intercept of the equation y = 4x + 1?

Back

The y-intercept is 1.

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

The solution is (1, 5).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

The solution is x = 1.