Solving Two-Step Equations Effectively

What is the primary method used to solve one-step and two-step equations?

• Direct substitution

• Inverse operations

• Graphical methods

• Trial and error

What is the result of applying the additive inverse to a number?

• The number doubles

• The result is zero

• The number is squared

• The number becomes negative

In the equation -15 = 1x - 27, what is the first step to isolate x?

• Add 27 to both sides

• Divide both sides by 27

• Subtract 27 from both sides

• Multiply both sides by 27

What is the term for the number in front of the variable in an equation?

• Constant

• Coefficient

• Exponent

• Reciprocal

What is the reciprocal of a fraction?

• The fraction squared

• The fraction doubled

• The fraction inverted

• The fraction halved

How do you solve an equation with an integer coefficient?

• Multiply both sides by the coefficient

• Add the coefficient to both sides

• Subtract the coefficient from both sides

• Divide both sides by the coefficient

What is the difference between an addition bar and a division bar?

• Addition bar goes all the way across, division bar is only under the number

• Addition bar is vertical, division bar is horizontal

• Addition bar is only under the number, division bar goes all the way across

• Addition bar is horizontal, division bar is vertical

What is the purpose of the multiplicative inverse in solving equations?

• To eliminate the variable

• To isolate the variable

• To add the variable

• To subtract the variable

In the equation 2 = 1/3a, what is the next step after applying the additive inverse?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

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

• Divide both sides by the reciprocal

• Subtract the reciprocal from both sides

• Add the reciprocal to both sides

• Multiply both sides by the reciprocal