One Variable Equations and Literal

Explain the meaning of the term 'coefficient' in the context of literal equations.

• A letter in the alphabet

• Numerical factor of a variable

• The result of an equation

• The process of solving for a variable

Define the term 'variable' as used in literal equations.

• A number that stays the same in an equation

• A letter that represents a constant value

• A value that cannot be changed in an equation

• A symbol that represents a quantity that can change or vary

Explain the concept of 'solving for a variable' in the context of literal equations.

• Multiplying the variable by a constant

• Dividing the variable by a constant

• Adding the variable to both sides of the equation

• Isolating the variable on one side of the equation

Define the term 'solution' in the context of literal equations.

• The value of the variable that makes the equation false

• The process of solving an equation

• The value of the variable that makes the equation true

• The result of adding two or more numbers together

What is the purpose of 'isolating a variable' in a literal equation?

• To solve for the variable and find its value

• To hide the value of the variable

• To make the equation more complicated

• To make the variable more confusing

Explain the meaning of the term 'substitution' in the context of literal equations.

• Replacing a variable with a given value or expression

• Multiplying a variable with a given value

• Dividing a variable by a given value

• Adding a variable to a given value

Define the term 'formula' as used in literal equations.

• A diagram showing the steps of a process

• A recipe for a chemical compound

• A list of mathematical operations

• An equation that expresses one quantity in terms of other quantities.

What is the difference between a literal equation and a linear equation?

• A literal equation can only be solved using the quadratic formula, while a linear equation can be solved using the slope-intercept form.

• A literal equation represents a straight line on a graph, while a linear equation represents a curve.

• A literal equation involves multiple variables, while a linear equation involves only one variable.

• A literal equation involves solving for an unknown constant, while a linear equation involves solving for a variable.

What is the significance of the term 'constant' in a literal equation?

• A fixed value that does not change

• A value that is only used in algebra

• A term that is irrelevant in the equation

• A variable that changes frequently

Reorder the following to show the correct steps for solving equations and inequalities.

• Distribute, if necessary.

• Combine like terms on the same side of the equation or inequality, if necessary.

• Use inverse/opposite operations to move terms with variables to one side of the equation or inequality and constants to the other side.

• Use inverse/opposite operations to the isolate the variable.

• Check your solution or solution set.