Bridge to Honors Solving Linear equations

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

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 33 = 4a - 7?

Back

The first step is to add 7 to both sides of the equation to eliminate the -7.

Front

What is the solution to the equation 7 + a/3 = 5?

Back

The solution is a = -6.

Front

What does the term 'constant' mean in a linear equation?

Back

A constant is a fixed value that does not change, represented by a number in the equation.

Front

How can you represent a real-world situation with a linear equation?

Back

You can represent a real-world situation with a linear equation by identifying the variables and constants involved and forming an equation that relates them.

Front

What is the total cost equation for towing a vehicle if the service center charges $50 plus $8 per mile?

Back

The total cost equation is C = 8m + 50.

Front

How do you write a linear equation for a budget of $20 for desserts, where ice-cream is $2.50 per scoop and puppychow is $4 per bag?

Back

The linear equation is 2.50x + 4y = 20, where x is the number of ice-cream scoops and y is the number of bags of puppychow.