REI.6 algebra 1

Front

What is a system of linear equations?

Back

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

Front

How do you find the intersection point of two linear functions?

Back

To find the intersection point, set the equations equal to each other and solve for the variable. The solution gives the x-value, which can be substituted back to find the y-value.

Front

What is the formula for calculating the cost of renting a vehicle based on distance?

Back

Cost = Fixed Fee + (Cost per Mile × Number of Miles).

Front

How do you set up an equation to solve for the price of an item when given total sales?

Back

Let x be the price of the item. Set up the equation: (Number of Items × Price) + (Other Items × Other Price) = Total Sales.

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 determine the cost of multiple items sold at different prices?

Back

Multiply the quantity of each item by its price and sum the results to find the total cost.

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 is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

Identify the variables, translate the relationships and conditions into equations, and set them up as a system.

Front

What is the process for solving a system of equations by substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation to find the second variable.