Equations, inequalities, and systems
- linear equations
- inequalities
- systems
- literal equations
Grade 9 / Algebra I · typical sequence
Grade 9 algebra pathway
Model relationships with equations, inequalities, functions, and data instead of treating Algebra I as isolated symbol work.
Functions and modeling
- function notation
- linear and exponential models
- sequences
- regression
Expressions and introductory quadratics
- polynomial operations
- factoring foundations
- quadratic graphs
Practice inventory
18 deterministic activities are available now.
Rearrange a formula
Use inverse operations to rewrite a formula for a named variable.
Build a linear model
Translate a situation into a linear expression and interpret its parameters.
Solve a linear inequality
Preserve equivalence while isolating a variable and reversing the sign when required.
Eliminate a variable
Combine equivalent equations so one variable cancels, then check the ordered pair.
Model two constraints
Create and solve two simultaneous constraints, then interpret the viable solution.
Evaluate function notation
Treat function notation as a named input-output rule rather than multiplication.
Choose a meaningful domain
Restrict inputs to values that make sense for the modeled quantity.
Find average rate of change
Compare output change with input change over a specified interval.
Write an arithmetic sequence rule
Connect a common difference to explicit and recursive sequence rules.
Evaluate exponential growth
Interpret initial value and growth factor in an exponential model.
Compare linear and exponential growth
Use equal differences or equal ratios to identify and compare model families.
Read polynomial structure
Read a polynomial as a structured expression before operating on it.
Add polynomials
Combine only terms with matching variable parts and exponents.
Multiply polynomial expressions
Distribute every term and combine like powers without losing signs.
Factor out a common factor
Reverse distribution by removing the greatest shared factor.
Factor a monic quadratic
Find two integers whose product and sum match the quadratic coefficients.
Connect factors and zeros
Use the zero-product property to connect factors, solutions, and intercepts.
Read a quadratic graph
Connect quadratic form to the graph’s vertex, symmetry, and direction.