Mathematical Analysis · Analytic Geometry
Virginia SOL MA.AG.5
Virginia SOL MA.AG.5 is part of the Analytic Geometry strand in Mathematical Analysis (Math). Under this Standards of Learning objective, students use matrices to organize data and perform operations to solve systems of equations. Below is what MA.AG.5 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice MA.AG.5 for the Virginia SOL test.
What SOL MA.AG.5 means
Use matrices to organize data and perform operations to solve systems of equations.
Skills you’ll practice for MA.AG.5
- Multiply matrices by a scalar.
- Add matrices.
- Subtract matrices.
- Multiply matrices.
- Represent problems with a system of no more than three linear equations.
- Express a system of linear equations as a matrix equation.
- Solve a system of equations using matrices.
- Determine the inverse of a two-by-two or three-by-three matrix using paper and pencil.
- Verify two matrices are inverses using matrix multiplication.
- Verify the commutative property for matrix addition.
- Verify the associative property for matrix addition.
- Verify the commutative property for matrix multiplication.
- Verify the associative property for matrix multiplication.
Key concepts covered by MA.AG.5
- scalar multiplication
- matrix operations
- scalar matrix multiplication
- matrix addition
- element-wise addition
- matrix subtraction
- element-wise subtraction
- matrix multiplication
- dot product multiplication
- linear systems
- system of equations
- equation representation
- matrix equation
- matrix solution
- equation solving
- matrix inverse
- 2x2 inverse
- 3x3 inverse
- inverse calculation
- inverse verification
- inverse properties
- commutative property
- property verification
- associative property
How to study and practice SOL MA.AG.5
Start with a quick diagnostic to see whether MA.AG.5 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Mathematical Analysis standards in Analytic Geometry
- MA.AG.1 — Identify and analyze the properties of conic sections and sketch a graph given an equation.
- MA.AG.2 — Use parametric equations to model and solve problems in context.
- MA.AG.3 — Perform operations with vectors in the coordinate plane.
- MA.AG.4 — Investigate and identify the characteristics of the graphs of polar equations.
Frequently asked questions about SOL MA.AG.5
What is Virginia SOL MA.AG.5?
SOL MA.AG.5 is a Mathematical Analysis Standard of Learning in the Analytic Geometry strand. It expects students to use matrices to organize data and perform operations to solve systems of equations.
What skills does SOL MA.AG.5 cover?
SOL MA.AG.5 is assessed on 13 skills: multiply matrices by a scalar; add matrices; subtract matrices; multiply matrices; represent problems with a system of no more than three linear equations; express a system of linear equations as a matrix equation; solve a system of equations using matrices; determine the inverse of a two-by-two or three-by-three matrix using paper and pencil; verify two matrices are inverses using matrix multiplication; verify the commutative property for matrix addition; verify the associative property for matrix addition; verify the commutative property for matrix multiplication; verify the associative property for matrix multiplication.
What strand of Mathematical Analysis is SOL MA.AG.5 in?
SOL MA.AG.5 belongs to the Analytic Geometry reporting strand of the Mathematical Analysis Virginia Standards of Learning.
How do I study and practice for SOL MA.AG.5?
Start with a diagnostic to see whether MA.AG.5 is already solid, then work the 13 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.