Solving Two-Step Inequalities Challenge

What is the first step in solving the inequality 2x - 10 < 80?

• Subtract 10 from both sides

• Add 10 to both sides

• Divide both sides by 2

• Multiply both sides by 2

After adding 10 to both sides of the inequality 2x - 10 < 80, what is the next step?

• Add 2 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

In the inequality 30 - 1/4x ≥ -15, what operation is performed after subtracting 30 from both sides?

• Divide by -4

• Multiply by -4

• Subtract 4

• Add 4

Why do we flip the inequality sign when multiplying by a negative number?

• To keep the inequality balanced

• To make the equation easier to solve

• To simplify the numbers

• Because the direction of the inequality changes

What type of circle is used on a number line for a 'less than' inequality?

• Open circle

• No circle

• Closed circle

• Half-filled circle

For the inequality x ≥ 2, what type of circle is used on the number line?

• Half-filled circle

• Closed circle

• No circle

• Open circle

In the inequality x < 45, which direction does the line go on the number line?

• Downwards

• Upwards

• To the left

• To the right

For the inequality x ≤ 60, what type of circle is used on the number line?

• No circle

• Closed circle

• Half-filled circle

• Open circle

In the word problem, what is the flat fee for using the studio's facilities?

• $20

• $50

• $100

• $210

How many lessons can Ally take if she has $210 and each lesson costs $20?

• 5 lessons

• 8 lessons

• 10 lessons

• 8 lessons or fewer