Writing Linear Equations in Standard Form

What is the standard form of a linear equation?

• ax + by = c^2

• ax + by = c

• ax^2 + by = c

• ax + by^2 = c

In standard form, what type of numbers are a, b, and c?

• Fractions

• Decimals

• Integers

• Irrational numbers

In the first example, what operation is performed to make the x term positive?

• Subtract 5x from both sides

• Add 5x to both sides

• Multiply both sides by 5

• Divide both sides by 5

In the second example, what is done to keep the x term positive?

• Add y to both sides

• Divide both sides by y

• Subtract y from both sides

• Multiply both sides by y

What is the result of subtracting y from both sides in the second example?

• 7x - y = -5

• 7x + y = -5

• 7x - y = 5

• 7x + y = 5

In the third example, what is done to combine the y terms?

• Multiply both sides by 3y

• Divide both sides by 3y

• Add 3y to both sides

• Subtract 3y from both sides

What is the standard form of the equation y = 2x?

• 2x - y = 0

• y + 2x = 0

• 2x + y = 0

• y - 2x = 0

How do you handle fractions in linear equations to convert them to standard form?

• Add the fractions

• Divide by the common denominator

• Multiply by the common denominator

• Subtract the fractions

What is the common denominator used in the example with fractions?

• 12

• 2

• 4

• 6

What is the standard form of the equation after clearing the fractions?

• x - 3y = 24

• x - 3y = -24

• x + 3y = -24

• x + 3y = 24