Solving 2-Step Inequalities Practice

Front

What is a 2-step inequality?

Back

A 2-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 11 > -3y + 2?

Back

First, subtract 2 from both sides: 11 - 2 > -3y. Then, simplify: 9 > -3y. Finally, divide by -3 (remember to flip the inequality): -3 < y.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line, using an open or closed circle to indicate whether the endpoint is included.

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

To solve, subtract 4 from both sides: 6t ≤ -6. Then, divide by 6: t ≤ -1.

Front

What is the correct inequality for the solution x < 24?

Back

The inequality x < 24 indicates that x can take any value less than 24.

Front

How do you solve the inequality k - 13 > -51?

Back

Add 13 to both sides: k > -51 + 13, which simplifies to k > -38.

Front

What is the difference between an open and closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 3), while a closed circle indicates that the number is included (e.g., x ≤ 3).

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality -2x + 5 < 9?

Back

Subtract 5 from both sides: -2x < 4. Then divide by -2 (flip the sign): x > -2.

Front

How do you check the solution of an inequality?

Back

To check the solution, substitute the value back into the original inequality to see if it holds true.