Introduction to algebra

Write this as one matrix expression: $\begin{pmatrix}-1&-3\\1&0\end{pmatrix}-\begin{pmatrix}1&-2\\2&-5\end{pmatrix}$.

May/June 2015

The matrices are $A = \begin{pmatrix}4 & -1 \\ 1 & 3\end{pmatrix},\quad B = \begin{pmatrix}2 & 0 \\ 7 & -5\end{pmatrix}$.

May/June 2016

With $M = \begin{pmatrix}5 & 1 \\ 2 & 3\end{pmatrix}$ and $N = \begin{pmatrix}4 & -2 \\ 3 & 0\end{pmatrix}$, find the matrix $M - N$.

May/June 2021

A museum is visited by $40$ adults and $20$ children on Monday. On Tuesday, $30$ adults and $35$ children go there. An adult ticket costs $\$2.50$ and a child ticket costs $\$2$. The matrices $M$ and $N$ may be used to show this information.

May/June 2021

Benjamin's age is $t$ years.

May/June 2023

Juan sells gift bags that contain soaps and candles. Matrix $C$ shows the contents of one large gift bag and one small gift bag: $C = \begin{pmatrix} 6 & 4 \\ 2 & 1 \end{pmatrix}$. A soap has mass $120\text{ g}$ and a candle has mass $60\text{ g}$. Matrix $M = \begin{pmatrix}120 \\ 60\end{pmatrix}$.

May/June 2023

Find the value of $5x + 3y$ for $x = 4$ and $y = -2$.

May/June 2025

The diagram shows part of a number grid. A vertical rectangle that surrounds three numbers can be placed anywhere on the grid. The grid extends further downward.

Oct/Nov 2018