Understanding Standard Form and Linear Equations

What is a key rule for the coefficient 'A' in the standard form equation Ax + By = C?

• A cannot be zero

• A must be negative

• A can be a fraction

• A cannot be negative

Which of the following equations is not linear?

• 2x + 3y = 5

• x^2 + y = 4

• 3x - 4y = 7

• 5x + 0y = 10

In the equation Ax = C, what can be said about the coefficient B?

• B is zero

• B is negative

• B must be positive

• B is a fraction

If an equation is in the form By = C, what is true about the coefficient A?

• A is positive

• A is a fraction

• A is negative

• A is zero

What is the first step in rearranging the equation 5x = 3y + 6 to standard form?

• Divide both sides by 5

• Multiply both sides by 2

• Add 6 to both sides

• Subtract 3y from both sides

When rearranging an equation, why must the coefficient A not be negative?

• To simplify the equation

• To make calculations easier

• To meet the standard form requirements

• To ensure the equation is linear

How can fractions be eliminated from an equation to convert it to standard form?

• By adding the fractions

• By multiplying by the least common multiple of the denominators

• By subtracting the fractions

• By dividing by the largest denominator

What is the least common multiple of the denominators 3 and 2?

• 12

• 2

• 3

• 6

Which of the following is a correct way to handle decimals in an equation?

• Multiply by 10

• Add them to both sides

• Ignore them

• Convert them to fractions

What is the result of multiplying 0.25 by 4?

• 0.75

• 2

• 1

• 0.5