Solving Multi-step Inequalities: Part 1 Challenge

What is the first step in solving the inequality 9 + 4t > 21?

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply both sides by 4

• Divide both sides by 4

After subtracting 9 from both sides in the inequality 9 + 4t > 21, what is the next step?

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

How do you check if a solution to an inequality is correct?

• Substitute a value equal to the solution

• Substitute a value greater than the solution

• Substitute any random value

• Substitute a value less than the solution

What type of circle is used to graph the inequality t > 3?

• No circle

• Open circle

• Closed circle

• Half-filled circle

In the perimeter problem, what does 'at most' indicate?

• Greater than

• Less than

• Less than or equal to

• Greater than or equal to

What is the perimeter formula for a rectangle?

• 2L + 2W

• 2L * 2W

• L * W

• L + W

What is the first step in solving the equation 3(t + 1) - 4t ≥ 2(5 - 4t)?

• Combine like terms

• Add 4t to both sides

• Distribute the constants

• Subtract 3 from both sides

After distributing and combining like terms, what is the next step in solving 3t + 3 - 4t ≥ 10 - 8t?

• Subtract 3 from both sides

• Subtract 10 from both sides

• Add 4t to both sides

• Add 8t to both sides

Why is it preferable to avoid negative coefficients in inequalities?

• It simplifies the graphing process

• It is a standard mathematical rule

• It makes the solution easier to understand

• It avoids errors in the final answer

What type of circle is used to graph the inequality t ≥ 1?

• Half-filled circle

• Closed circle

• Open circle

• No circle