Two-Step Inequality Word Problems
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 11: Inequalities) solve two-step inequality word problems by translating real-world constraints into inequalities of the form ax + b <= c, then solving using inverse operations. Key phrases like at most, at least, or within budget map to the correct inequality symbols.
Key Concepts
To solve two step inequality word problems, identify the variable, write an inequality in the form $ax + b \leq c$ (or $\geq$, $<$, $ $), then solve using inverse operations. First, add or subtract to isolate the variable term, then multiply or divide to solve for the variable. Remember to flip the inequality sign when multiplying or dividing by a negative number.
Common Questions
How do you set up a two-step inequality word problem in 7th grade?
Identify the variable, translate the constraint into an inequality (e.g., 90 + 0.20m <= 250), then solve by subtracting and dividing. Remember to flip the inequality sign if dividing by a negative number.
What phrases indicate less than or equal to vs greater than or equal to?
At most / no more than / maximum: use <=. At least / no less than / minimum: use >=. Below / fewer than: use <. Above / more than: use >.
How do you solve 90 + 0.20m <= 250?
Subtract 90 from both sides: 0.20m <= 160. Divide by 0.20: m <= 800.
What chapter in Big Ideas Math Advanced 2 covers two-step inequality word problems?
Chapter 11: Inequalities in Big Ideas Math Advanced 2 (Grade 7) covers two-step inequality word problems.
What does the solution to a two-step inequality word problem mean?
The solution is all values of the variable that satisfy the real-world constraint, such as the maximum number of miles you can drive within a budget.