Solving Inequalities and Word Problems

This video tutorial covers solving one-step inequalities using addition, subtraction, multiplication, and division. It includes examples and graphing solutions, as well as a real-world application involving budgeting for party favors. The tutorial emphasizes understanding the process of isolating variables and graphing the solutions on a number line.

What is the first step in solving the inequality x + 7 > 10?

• Divide both sides by 7

• Multiply both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

When graphing the solution to x - 3 < 9, what type of dot should be used at 12?

• Arrow

• Cross

• Solid dot

• Open circle

If n + 2 ≤ 5, what is the value of n?

• n > 3

• n < 3

• n ≥ 3

• n ≤ 3

How do you solve the inequality 5x ≤ 45?

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

What is the solution to the inequality x / 8 > 3?

• x ≤ 24

• x ≥ 24

• x < 24

• x > 24

In the inequality 10x < 80, what operation should be performed to isolate x?

• Divide by 10

• Multiply by 10

• Subtract 10

• Add 10

What is the solution to the inequality x / 6 ≥ 7?

• x > 42

• x ≤ 42

• x ≥ 42

• x < 42

If Lever wants to spend no more than $42 on party favors for 7 friends, what is the maximum cost per favor?

• $5

• $6

• $7

• $8

What inequality represents the situation where Lever spends less than $42 on party favors for 7 friends?

• 7x < 42

• 7x ≤ 42

• 7x > 42

• 7x ≥ 42

If Lever spends $5 per party favor, how much will she spend in total?

• $30

• $35

• $40

• $45