DC CAPE Algebra II Vector and Matrix Quantities. Practice it free.

This domain covers vectors and matrices as quantities and tools for modeling. This Algebra II reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Algebra IIVector and Matrix Quantities1 mapped skills
What the test measures

Vector and Matrix Quantities skills

  1. represent and model with vector quantities

  2. perform operations with vectors

  3. perform operations with matrices and use matrices in applications

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Practice by skill

Topics mapped to this domain

Scalar times 2×2 matrix (ACT)

Grade 910 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 4[2103]4\begin{bmatrix} 2 & 1 \\ 0 & 3 \end{bmatrix}?

Multiply every entry by 44: [4(2)4(1)4(0)4(3)]=[84012]\begin{bmatrix} 4(2) & 4(1) \\ 4(0) & 4(3) \end{bmatrix} = \begin{bmatrix} 8 & 4 \\ 0 & 12 \end{bmatrix}.

Practice playeasy

Which matrix equals −3[2−130]-3\begin{bmatrix} 2 & -1 \\ 3 & 0 \end{bmatrix}?

Multiply each entry by −3-3: [−3(2)−3(−1)−3(3)−3(0)]=[−63−90]\begin{bmatrix} -3(2) & -3(-1) \\ -3(3) & -3(0) \end{bmatrix} = \begin{bmatrix} -6 & 3 \\ -9 & 0 \end{bmatrix}.

Practice playeasy

What is 5[021−1]5\begin{bmatrix} 0 & 2 \\ 1 & -1 \end{bmatrix}?

Multiply every entry by 55: [5(0)5(2)5(1)5(−1)]=[0105−5]\begin{bmatrix} 5(0) & 5(2) \\ 5(1) & 5(-1) \end{bmatrix} = \begin{bmatrix} 0 & 10 \\ 5 & -5 \end{bmatrix}.

Practice playeasy

Which matrix equals −1[34−25]-1\begin{bmatrix} 3 & 4 \\ -2 & 5 \end{bmatrix}?

Multiply each entry by −1-1: [−1(3)−1(4)−1(−2)−1(5)]=[−3−42−5]\begin{bmatrix} -1(3) & -1(4) \\ -1(-2) & -1(5) \end{bmatrix} = \begin{bmatrix} -3 & -4 \\ 2 & -5 \end{bmatrix}.

Practice playeasy

What is 2[−1324]2\begin{bmatrix} -1 & 3 \\ 2 & 4 \end{bmatrix}?

Multiply every entry by 22: [2(−1)2(3)2(2)2(4)]=[−2648]\begin{bmatrix} 2(-1) & 2(3) \\ 2(2) & 2(4) \end{bmatrix} = \begin{bmatrix} -2 & 6 \\ 4 & 8 \end{bmatrix}.

Practice playeasy

What is 3[−210−3]3\begin{bmatrix} -2 & 1 \\ 0 & -3 \end{bmatrix}?

Multiply every entry by 33: [3(−2)3(1)3(0)3(−3)]=[−630−9]\begin{bmatrix} 3(-2) & 3(1) \\ 3(0) & 3(-3) \end{bmatrix} = \begin{bmatrix} -6 & 3 \\ 0 & -9 \end{bmatrix}.

Practice playmedium

Which matrix equals −4[10−32]-4\begin{bmatrix} 1 & 0 \\ -3 & 2 \end{bmatrix}?

Multiply each entry by −4-4: [−4(1)−4(0)−4(−3)−4(2)]=[−4012−8]\begin{bmatrix} -4(1) & -4(0) \\ -4(-3) & -4(2) \end{bmatrix} = \begin{bmatrix} -4 & 0 \\ 12 & -8 \end{bmatrix}.

Practice playmedium

Which matrix equals −5[2−213]-5\begin{bmatrix} 2 & -2 \\ 1 & 3 \end{bmatrix}?

Multiply each entry by −5-5: [−5(2)−5(−2)−5(1)−5(3)]=[−1010−5−15]\begin{bmatrix} -5(2) & -5(-2) \\ -5(1) & -5(3) \end{bmatrix} = \begin{bmatrix} -10 & 10 \\ -5 & -15 \end{bmatrix}.

Keep practicing

Turn vector and matrix quantities into game time.

The DC CAPE placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Source and test overview
All DC CAPE prepOfficial test source
Reporting categories

More Algebra II domains

Polynomial, Rational, and Radical RelationshipsThis domain covers extending algebraic structure to polynomial, rational, and radical expressions and equations.8 QsPractice →Creating Equations and InequalitiesThis domain focuses on building equations and inequalities from relationships and contexts.8 QsPractice →Complex Numbers and Quadratic EquationsThis domain addresses the complex number system and quadratic reasoning.8 QsPractice →Interpreting FunctionsThis domain measures interpretation and analysis of functions in context and across representations.8 QsPractice →Building FunctionsThis domain focuses on building and comparing function models.8 QsPractice →Linear, Quadratic, and Exponential ModelsThis domain addresses modeling with polynomial, rational, and exponential functions.8 QsPractice →