Solving Equations 8th grade review

Front

What is an equation?

Back

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

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 variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the goal when solving linear equations?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value for the variable satisfies the equation.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation -3m + 25 + m + 21 = 2?

Back

The first step is to combine like terms: -3m + m = -2m and 25 + 21 = 46.

Front

What is the solution to the equation 5m + 2(m + 1) = 23?

Back

The solution is m = 3.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation.