Writing Equations
This resource focuses on problem situations involving linear functions and formulating equations to solve the problems.
Math is a language; it uses symbols to represent quantities and relationships between quantities.
Once the symbols and relationships are understood, the language is easy to understand.
These are some common phrases in mathematics and the symbolic way of representing these phrases.
The sum of 4 and a number, n
A number, a, increased by 7
14 more than a number, g
4 + n
a + 7
g + 14
The difference of a number, b, and 12
17 less than a number, y
A number, c, decreased by 11
b – 12
y – 17
c – 11
The product of 12 and a number, d
One-third of a number, n
12d or 12(d)
one-third 1 3 n
The quotient of a number, w, and 4
A number, z, divided by 12
w ÷ 4
z divided by twelve z 12
These phrases can be combined to form more complicated phrases.
5 less than the quantity 4 times a number, n
7 times the difference of a number, a, and 12
The sum of 13 and the square of a number, x
15 divided by the quantity 8 plus a number, n
4n – 5
7(a – 12)
13 + x2
fifteen divided by the quantity (8 plus n) 15 8 + n
When two mathematical phrases are equal to each other, it is known as an equation.
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Once you complete the matching game, click below to check your answers.
Interactive popup. Assistance may be required. c, g, f, h, a, d, b, e