Algebra 1- Chapter 5 Test Review

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 find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

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 is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

The solution is (1, 3).

Front

What is the graphical representation of a linear equation?

Back

A linear equation is represented by a straight line on a graph.

Front

What is the y-intercept of the equation y = 3x - 5?

Back

The y-intercept is -5, which is the point where the line crosses the y-axis.

Front

How do you determine if a point (x, y) lies on the line represented by an equation?

Back

Substitute the x and y values into the equation. If the equation holds true, the point lies on the line.

Front

What is the method of elimination in solving systems of equations?

Back

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