Understanding One-Step Inequalities

This video tutorial by Mr. J covers how to solve and graph one-step inequalities using addition, subtraction, multiplication, and division. It explains the importance of isolating the variable and using inverse operations, with a special note on flipping the inequality symbol when multiplying or dividing by a negative. The video provides step-by-step examples for each operation, demonstrating how to solve the inequality and graph the solutions on a number line. It also includes tips for checking solutions to ensure correctness.

What is the inverse operation used to solve the inequality x + 12 > 18?

• Division

• Addition

• Multiplication

• Subtraction

Tags

CCSS.6.EE.B.8

When graphing the inequality x > 6, what type of circle is used at 6?

• Filled circle

• Double circle

• Open circle

• No circle

Tags

CCSS.7.EE.B.4B

In the inequality a + 9 ≤ 3, what is the solution for 'a' after solving?

• a ≤ -12

• a ≥ -12

• a > -12

• a < -12

Tags

CCSS.7.EE.B.4B

What is the inverse operation used to solve the inequality g - 7 ≤ 2?

• Multiplication

• Division

• Addition

• Subtraction

Tags

CCSS.7.EE.B.4B

How do you rewrite the inequality -15 > y - 1 to isolate y?

• y ≥ -4

• y > -4

• y ≤ -4

• y < -4

Tags

CCSS.6.EE.B.8

What happens to the inequality symbol when both sides are multiplied by a negative number?

• It flips direction

• It stays the same

• It disappears

• It becomes an equal sign

Tags

CCSS.6.EE.B.8

In the inequality 5y < 40, what is the solution for 'y' after solving?

• y ≥ 8

• y ≤ 8

• y > 8

• y < 8

Tags

CCSS.6.EE.B.8

What is the inverse operation used to solve the inequality x/4 ≤ 12?

• Addition

• Division

• Subtraction

• Multiplication

Tags

CCSS.6.EE.B.8

When solving the inequality w/9 < 7, what must be done to the inequality symbol if both sides are multiplied by a negative number?

• Remove it

• Keep it the same

• Flip it

• Change it to an equal sign

Tags

CCSS.6.EE.B.8

In the inequality x/4 ≤ 12, what is the solution for 'x' after solving?

• x < 48

• x ≤ 48

• x ≥ 48

• x > 48

Tags

CCSS.6.EE.B.8