two step inequality pre-assessment

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -n + 8 < 26?

Back

To solve -n + 8 < 26, first subtract 8 from both sides to get -n < 18, then multiply by -1 and flip the inequality sign to get n > -18.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

What is the solution to the inequality -9a - 1 < 26?

Back

To solve -9a - 1 < 26, add 1 to both sides to get -9a < 27, then divide by -9 and flip the sign to get a > -3.

Front

How do you graph the solution of an inequality?

Back

To graph the solution of an inequality, draw a number line, use an open circle for < or > (not including the endpoint) and a closed circle for ≤ or ≥ (including the endpoint), and shade the appropriate region.

Front

What is the first step in solving the inequality 7n - 1 > 76?

Back

The first step is to add 1 to both sides to isolate the term with the variable, resulting in 7n > 77.

Front

What does the solution n > -18 represent on a number line?

Back

The solution n > -18 represents all numbers greater than -18, which is shown by shading to the right of -18 on a number line.

Front

What is the importance of checking your solution in an inequality?

Back

Checking your solution ensures that the values satisfy the original inequality, confirming that the solution is correct.

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, less than, or not equal to another.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform inverse operations (addition, subtraction, multiplication, division) while maintaining the direction of the inequality, except when multiplying or dividing by a negative number.