Understanding and Solving One-Step Equations

What does 'inverse operation' mean in the context of solving equations?

• Ignoring the operation to focus on the variable

• Applying the opposite operation to isolate the variable

• Using a complex operation to simplify the equation

• Performing the same operation on both sides of the equation

What is the goal when isolating a variable in an equation?

• To combine like terms

• To multiply the variable

• To get the variable by itself on one side of the equation

• To eliminate the variable

How do you solve an equation with a variable subtracted by a constant?

• By dividing both sides by the constant

• By multiplying both sides by the constant

• By adding the constant to both sides

• By subtracting the constant from both sides

What is the first step in solving equations that Mrs. Newman suggests?

• Substituting values to check the solution

• Flipping the equation if the variable is on the right

• Drawing a line down the middle of the equal sign

• Isolating the variable immediately

When solving an equation with a positive constant on the same side as the variable, what should you do?

• Add the constant to both sides

• Divide both sides by the constant

• Subtract the constant from both sides

• Multiply both sides by the constant

What is the inverse operation of multiplication when solving one-step equations?

• Multiplication

• Addition

• Subtraction

• Division

How do you solve an equation with a variable multiplied by a negative number?

• By subtracting the negative number from both sides

• By multiplying both sides by the negative number

• By dividing both sides by the negative number

• By adding the negative number to both sides

What is the purpose of multiplying by the reciprocal when solving equations with fractional coefficients?

• To eliminate the variable

• To convert the equation into a decimal form

• To simplify the fraction

• To get a coefficient of 1 for the variable

When faced with a fractional coefficient, what is the recommended method to isolate the variable?

• Dividing both sides by the fraction

• Multiplying both sides by the reciprocal of the fraction

• Adding the fraction to both sides

• Subtracting the fraction from both sides

What should you do if the coefficient of the variable is a negative fraction?

• Ignore the negative sign and proceed

• Flip the fraction and change the sign to positive

• Add the fraction to both sides to eliminate it

• Flip the fraction and keep the negative sign