Algebra Formulas You Need to Know for the HiSET® Math Test

You will be given some formulas during the HiSET® Math Test, but those formulas are not going to be all the formulas you’ll need. But don’t worry—we have you covered. The following chart shows the algebra formulas you need to know, but won’t be given, during the test—compiled for you by the Union Test Prep team.

We also have two other charts of formulas that are not given to you during the test and a preview of the chart of formulas you will be given during the HiSET Math Test session.

Geometry Formulas You Need to Know for the HiSET® Math Test

Formulas You Will Be Given for the HiSET® Math Test

Statistics and Probability Formulas You Need to Know for the HiSET® Math Test

Algebra Formulas for the HiSET® Math Test

Category Formula Symbols Comment
General
Algebra
$$x+a=b \Rightarrow x=b-a$$
$$x-a=b \Rightarrow x=b+a$$
$$x \cdot a=b \Rightarrow x=b \div a$$
$$x \div a=b \Rightarrow x=b \cdot a$$
$$x^a=b \Rightarrow x = \sqrt[a]{b}$$
$$\sqrt[a]{x}= b \Rightarrow x= b^a$$
$$a^x=b \Rightarrow x=\frac{log\ b}{log\ a}$$
a, b = constants
x = variable

General
Algebra
$$x^a \cdot x^b = x^{a+b}$$ a, b, x = any real number
General
Algebra
$$\frac{x^a}{x^b}=x^{a-b}$$ a, b, x = any real number
General
Algebra
$$(x^a)^b = x^{a \cdot b}$$ a, b, x = any real number
General
Algebra
$$(x \cdot y)^a = x^a \cdot y^a$$ a, b, x = any real number
General
Algebra
$$x^1 = x$$ x = any real number
General
Algebra
$$x^0 = 1$$ x = any real number
General
Algebra
$$x^{-a} = \frac {1}{x^a}$$ a, x = any real number
General
Algebra
$$x^{\frac {a}{b}} = \sqrt[b]{x^a} = (\sqrt[b]{x})^a$$ a, b, x = any real number
Linear
Equations
$$A \cdot x + B \cdot y = C$$ A, B, C = any real number
y = dependent variable
x = independent variable
Standard form
Linear
Equations
$$y = m \cdot x + b$$ y = dependent variable
m = slope
x = independent variable
b = y axis intercept
Slope-intercept form
Try to convert any linear
equation to this form.
Linear
Equations
$$m = \frac{(y_2 - y_1)}{(x_2 - x_1)}$$ m = slope
$$y_n$$ = independent variable (point n)
$$x_n$$ = dependent variable (point n)
This is a rearrangement of the
point-slope form.
Linear
Equations
$$y-y_1 = m(x-x_1)$$ $$(x_1,y_1)$$ = point on the line
m = slope
y = independent variable
x = dependent variable
Point-slope form
Equations
$$x= \frac{-b \pm \sqrt{b^2-4 \cdot a \cdot c}}{2 \cdot a}$$ a, b, c = constants
c = y axis intercept
x = variable
Standard form
Equations
$$(a \pm b)^2 = a^2 \pm 2 \cdot a \cdot b + b^2$$ a, b = constants or variables Square of a sum or difference
Equations
$$a^2 - b^2 = (a-b) \cdot (a+b)$$ a, b = constants or variables Difference of two squares
Cubic
Equations
$$a^3 - b^3 = (a-b) \cdot (a^2+ab+b^2)$$ a, b = constants or variables Difference of two cubes
Cubic
Equations
$$a^3 + b^3 = (a+b) \cdot (a^2-ab+b^2)$$ a, b = constants or variables Sum of two cubes
Sequences $$a_n = a_{n-1} + d$$ $$a_n = n^{th}$$ term of arithmetic sequence
$$a_{n-1} = (n-1)^{th}$$ term of arithmetic sequence
$$d$$ = common difference

Sequences $$a_n = a_{n-1} \cdot r$$ $$a_n = n^{th}$$ term of geometric sequence
$$a_{n-1} = (n-1)^{th}$$ term of geometric sequence
$$r$$ = common ratio