Curriculum placement
Grade 7. This describes the skill, not a learner estimate.
Solving inequalities
Solve inequalities and interpret direction changes
Problem types
- Absolute-value and compound inequalities
- Enter an integer satisfying an inequality
- Solve a linear inequality
- Solve an inequality with grouped terms
- Classify an inequality after cancellation
- Graph a fee within a budget
- Read a budget inequality
- Choose the inequality or solution set for a fee within a budget
- Choose the number line of an inequality
- Solve two inequalities with a negative coefficient
- Greatest whole number of items that fit a budget after a fixed expense
- Solve an inequality with the variable on both sides and choose its number line
- Show the work: how many items fit a budget or reach a goal
- Show the work: compare two plans with an inequality
- Solve a linear inequality and justify each step
Builds on
- Expanding and factoring linear expressions
- Multiplying and dividing signed numbers
- Solving two-step equations
- Inequalities on a number line
- Linear equations from constraints · Useful idea
A charge made of a fee plus a rate is a linear model. Asking which counts keep the charge within a budget turns the equation into an inequality that is solved the same way.
Leads to
Related skills
- Solving absolute-value equations · Shared foundations
- Linear equations with variables on both sides · Shared foundations
- Supplementary, vertical, and adjacent angles · Shared foundations
- Simplifying complex fractions · Shared foundations
- Laws of exponents · Shared foundations
Open the interactive map to explore lessons and skill connections.