Standard Form Of A Linear Equation Worksheet printable pdf download

Standard Form Of A Linear Equation Worksheet

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Standard Form of a Linear Equation

�� + �� = ��

• The slope-intercept form of a line is �� = �� + ��.

• The standard form of a line is Ax + By = C.

• The parameters A, B and C are may be any real numbers. Often they are integers.

• You have used the standard form of an equation with you investigated iPods and points

scored at basketball games.

• You can transform an equation in standard form into slope-intercept form by solving for

• You can transform an equation in slope-intercept form into standard form by getting the

constant term alone on the right side of the equal sign. Multiply the equation by a

common denominator if necessary to clear fractions.

• If you multiply or divide both sides of an equation in standard form by the same number,

you’ll get an equivalent equation that is also in standard form.

Here is an example of a linear function that lends itself well to slope-intercept form:

It costs $200 to open the St Vincent DePaul Soup for the evening meal regardless of the

number of people served. The average meal cost per person is $4. What is the total cost

of feeding people? Let x be the number of people who eat, and let y be the total cost.

An equation to model this situation is �� = �� + ��.

Here is an example of linear function that lends itself well to standard form:

Each year, Norwich students make hundreds of clay soup bowls for a soup kitchen

fundraiser known as the “Empty Bowls Project”. Then the public is invited to buy a meal

of soup, bread and cookies and receive a beautiful handmade bowl. Musicians volunteer

to play for the dinner. For $12 the customers choose a bowl to keep and get the simple

meal. For $8, you get a simple meal, but no handmade bowl. Last year, $960 was raised

for charity. What are the possible combinations of meal-alone tickets and bowl-meal

tickets that were sold at Empty Bowls? Let x represent the number of bowl-meal tickets

sold. Let y represent the number of meal-alone tickets sold.

An equation that models the situation is �� + �� = ��.

1. Answer the following questions based on the equation 12�� + 8�� = 960.

a. What does the 12x mean?

b. What does the 8y mean?

Activity 4.5.3

CT Algebra I Model Curriculum Version 3.0

Standard Form Of A Linear Equation Worksheet