Understanding and Solving One-Step Equations

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

• Applying the opposite operation to isolate the variable

• Ignoring the operation to focus on the variable

• Using a complex operation to simplify the equation

• Performing the same operation on both sides of the equation

What is the goal of isolating the variable in an equation?

• To find the value of the variable

• To simplify the equation's complexity

• To eliminate the variable

• To combine like terms

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

• By multiplying both sides by the constant

• By adding the constant to both sides

• By dividing both sides by the constant

• By subtracting the constant from both sides

What is the first step in solving an equation with a variable on the right side?

• Flip the equation

• Isolate the variable immediately

• Add a constant to both sides

• Draw a line down the middle of the equal sign

When solving an equation involving division, what is the inverse operation?

• Division

• Subtraction

• Addition

• Multiplication

What does it mean when an equation has a fractional coefficient?

• The equation is more complex to solve

• The variable is multiplied by a fraction

• The equation cannot be solved

• The variable is divided by a fraction

How do you solve an equation with a negative fractional coefficient?

• By dividing by the reciprocal of the fraction

• By multiplying by the reciprocal of the fraction

• By subtracting the reciprocal of the fraction

• By adding the reciprocal of the fraction

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

• To eliminate the fraction

• To convert the fraction to a whole number

• To simplify the equation

• To cancel out the coefficient

What is the result of multiplying a negative number by its reciprocal?

• A negative one

• A positive one

• The original number

• Zero

How do you check if your solution to an equation is correct?

• By ignoring the solution

• By solving the equation again

• By asking someone else to solve it

• By substituting the solution back into the original equation