One Variable Two Step Equations & Inequalities Review

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to solve for the variable. For example, in the equation 2n + 3 = 11, you would first subtract 3 and then divide by 2 to find n.

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. For example, in the equation 3n = 12, you would divide both sides by 3 to find n.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding the values of the variable that make the inequality true. For example, in the inequality n + 5 > 10, you would subtract 5 from both sides to find n > 5.

Front

What is the first step in solving the equation 6n + 4 = -26?

Back

The first step is to subtract 4 from both sides of the equation, resulting in 6n = -30.

Front

What is the solution to the equation 6n + 4 = -26?

Back

The solution is n = -5.

Front

What is an example of an inequality?

Back

An example of an inequality is n - 3 < 7.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What does it mean if an inequality has no solution?

Back

If an inequality has no solution, it means there are no values for the variable that can make the inequality true. For example, n < 2 and n > 5 has no solution.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the solution to the inequality n + 4 > 10?

Back

The solution is n > 6.