4-6 Day 1 Practice

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To find the point of intersection, solve the two equations simultaneously to find the values of x and y that satisfy both equations.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

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, meaning they intersect at a right angle.

Front

How do you calculate the total cost of renting a car?

Back

The total cost of renting a car can be calculated by adding the fixed fee to the variable cost, which is the cost per mile multiplied by the number of miles driven.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions and equations.

Front

What is a constant in mathematics?

Back

A constant is a fixed value that does not change.