Open Up Resources Unit 6 Test Review (Equations)

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate the relationships between quantities in a problem, often used in solving equations.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the purpose of using a hanger diagram in solving equations?

Back

A hanger diagram visually represents the balance of weights, helping to set up equations based on the principle of equilibrium.

Front

What is the significance of the coefficient in an equation?

Back

The coefficient is a numerical factor that multiplies a variable in an equation, indicating how many times the variable is counted.

Front

What does it mean to have a solution of x = 3?

Back

It means that when you substitute 3 for x in the equation, both sides of the equation will be equal.

Front

What is a fraction and how is it represented?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator and a denominator.

Front

What is the process of checking a solution in an equation?

Back

To check a solution, substitute the solution back into the original equation to verify that both sides are equal.

Front

What is the difference between an equation and an expression?

Back

An equation contains an equal sign and asserts that two expressions are equal, while an expression does not contain an equal sign.