"Coefficient" Explained

Number multiplied by exponent.

Key Idea: Coefficient

A coefficient is the numerical factor multiplied by a variable or term in an expression.


General Rule:

In a term like

ax^n

the coefficient is a, the variable is x, and the exponent is .


Why this matters for the SAT:

Identifying coefficients is key for combining like terms, factoring, solving equations, and analyzing functions. Misreading coefficients can lead to algebra errors on the test.

"Constants" Explained

Linear function.

Key Idea: Constants

constant is a specific, fixed number in an equation or expression.
It does not change as the variables change and often helps define the behavior or position of a function.


General Rule:

  • Constants are numbers without variables.

  • They can shift a graph up or down, or set specific values in formulas.

  • In equations like

y=mx+b

the b is a constant.


Why this matters for the SAT:

Recognizing constants is key for interpreting functions, identifying transformations, and simplifying expressions. Confusing constants with coefficients or variables can lead to errors in algebra and graph analysis.

"Integer" Explained

If something is an integer it is a whole number.

Key Idea: Integer

An integer is a whole number, which can be positive, negative, or zero, with no fractional or decimal part.


General Rule:

…,−3,−2,−1,0,1,2,3,…


Why this matters for the SAT:

Many SAT problems specify integer solutions only. Recognizing integers prevents mistakes with fractions or decimals and is essential for counting, divisibility, and number property problems.