Solving Multi-Step Inequalities Challenge

What is the main learning goal for this lesson?

• To solve equations with one operation

• To solve inequalities involving more than one operation and graph their solution sets

• To learn new vocabulary

• To solve quadratic equations

What is the distributive property?

• Dividing both sides of an equation by the same number

• Adding the same number to both sides of an equation

• Subtracting the same number from both sides of an equation

• Multiplying a number outside the parentheses by each term inside the parentheses

In solving multi-step equations, what is the first step if parentheses are present?

• Divide both sides by the same number

• Distribute the number outside the parentheses

• Isolate the variable

• Add or subtract first

When solving one-step inequalities, what must you remember to do if you divide by a negative number?

• Flip the inequality sign

• Add the same number to both sides

• Subtract the same number from both sides

• Multiply both sides by the same number

What is the result of solving the inequality -2a > 19?

• a < -9.5

• a > -9.5

• a < 9.5

• a > 9.5

In the example where twice the difference of a number and four is less than the sum of a number and five, what is the inequality set up?

• 2(x + 4) > x - 5

• 2(x - 4) < x + 5

• 2(x + 4) < x - 5

• 2(x - 4) > x + 5

What is the solution to the inequality 2(x - 4) < x + 5?

• x < 13

• x > 13

• x < -13

• x > -13

Why are inequalities often more appropriate than equations in real-world situations?

• They are easier to solve

• They provide a range of possible solutions

• They are more accurate

• They are simpler to graph

In the real-world example, what is the maximum number of hours Jay can rent the metal detector?

• 5 hours

• 7 hours

• 10 hours

• 12 hours

What inequality represents the rental cost problem Jay is facing?

• 2h + 15 ≤ 35

• 2h - 15 ≥ 35

• 2h + 15 ≥ 35

• 2h - 15 ≤ 35