Linear equations and functions
- multi-step equations
- systems
- slope
- function comparison
Grade 8 · typical sequence
Grade 8 linear foundations
Unify equations, functions, exponents, transformations, geometry, and bivariate data.
Exponents and real numbers
- integer exponents
- scientific notation
- irrational numbers
- roots
Transformations and bivariate data
- congruence and similarity
- Pythagorean theorem
- volume
- scatterplots
Practice inventory
17 deterministic activities are available now.
Locate an irrational number
Use nearby perfect squares to place an irrational value on the number line.
Evaluate a root
Connect roots to inverse exponent relationships.
Apply exponent laws
Combine equal bases by operating on exponents and interpret negative exponents.
Compute with scientific notation
Separate coefficients from powers of ten and normalize the result.
Find slope
Compare vertical change with horizontal change between two points.
Write a line equation
Represent a constant rate and initial value with y = mx + b.
Solve a linear equation
Expand, collect terms, and preserve equivalence to isolate the variable.
Count equation solutions
Simplify both sides to see whether the variable remains or a true/false statement results.
Solve a linear system
Find the ordered pair that satisfies both equations.
Is it a function?
Require every input to have exactly one output.
Compare two functions
Extract and compare rate of change or initial value from tables and equations.
Classify a function
Check whether equal input changes produce equal output changes.
Transform a point
Track coordinates under translations, reflections, and rotations.
Reason about similarity
Distinguish rigid motions from dilations and compare corresponding measures.
Use the Pythagorean theorem
Relate the square on the hypotenuse to the squares on the legs.
Find round-solid volume
Choose the correct round-solid structure and distinguish linear from cubic measures.
Interpret a scatterplot
Describe direction, form, and strength without treating association as causation.