Coaching Centre
The language of algebra
Pronumerals, terms, coefficients, constant terms and expressions, and writing expressions from words.
Parts of an expression
In the expression $5x - 2y + 7$:
- the terms are $5x$, $-2y$ and $7$
- the coefficient of $x$ is $5$ and of $y$ is $-2$
- $7$ is the constant term (no pronumeral)
From words to algebra
Write an expression for: (a) $5$ more than $n$, (b) $3$ less than double $k$, (c) the sum of $a$ and $b$, divided by $4$.
Pens cost $\$p$ each and a ruler costs $\$2$. Write the cost of $6$ pens and a ruler.
How many terms are in $5x - 2y + 7$?
$5x$, $-2y$, $7$.
What is the coefficient of $y$ in $5x - 2y + 7$?
Include the sign.
What is the constant term in $5x - 2y + 7$?
No pronumeral.
"$3$ less than double $k$" is:
Double first, then subtract $3$.
"The sum of $a$ and $b$, divided by $4$" is:
Add first, then divide.
$6$ pens at $\$p$ and a $\$2$ ruler cost:
Only the pens are multiplied by $6$.
$a \times b \times 3$ is written:
Number first, then letters.
What is the coefficient of $m$ in $m + 8$?
$m = 1m$.
New numbers every time. Keep going until you get five in a row.