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Support NowFormula List for the PERT Mathematics Test
One of the main problems with Math is that we tend to forget concepts and skills when we do not regularly put them into practice.
That becomes an issue when taking the PERT Mathematics test because chances are that it’s been a long time since you reviewed the fundamental concepts of math. So, how can you ace the PERT Mathematics test?
That’s where the team at Union Test Prep comes in. We have gathered the essential formulas you’ll need for the PERT Mathematics test and put them together in the following chart. Use it to solve the free sample problems we also have for you.
You can find practice questions, as well as flashcards and a study guide for this test here. And it’s all free!
| Category | Formula | Symbols | Comment |
|---|---|---|---|
| Arithmetic | \(a+b=b+a\) \(a \cdot b = b \cdot a\) |
a, b = any constant or variable | Commutative Property |
| Arithmetic | \(a+(b+c)=(a+b)+c\) \(a \cdot (b \cdot c)=(a \cdot b) \cdot c\) |
a, b, c = any constant or variable | Associative Property |
| Arithmetic | \(a \cdot (b+c)=a \cdot b + a \cdot c\) | a, b, c = any constant or variable | Distributive Property |
| Arithmetic | \(a+0=a\) | a = any constant or variable | Identity Property of Addition |
| Arithmetic | \(a \cdot 1 = a\) | a = any constant or variable | Identity Property of Multiplication |
| Arithmetic | \(\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{(a \cdot d)+(c \cdot b)}{(b \cdot d)}\) | a, b, c, d = any real number | Remember to simplify the fraction if possible. |
| Arithmetic | \(\dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{a \cdot c)}{(b \cdot d)}\) | a, b, c, d = any real number | Remember to simplify the fraction if possible. |
| Arithmetic | \(\dfrac{a}{b} \div \dfrac{c}{d}=\dfrac{a \cdot d)}{(b \cdot c)}\) | a, b, c, d = any real number | Remember to simplify the fraction if possible. |
| Arithmetic | \(a\dfrac{b}{c}=\dfrac{(a \cdot c)+b}{c}\) | a, b, c = any real number | Remember to simplify the fraction if possible. |
| 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 |
|
| Algebra | \(x^a \cdot x^b=x^{a+b}\) | a, b, x = any real number | |
| Algebra | \(\dfrac{x^a}{x^b}=x^{a-b}\) | a, b, x = any real number | |
| Algebra | \((x^a)^b =a^{a \cdot b}\) | a, b, x = any real number | |
| Algebra | \((x \cdot y)^a = x^a \cdot y^a\) | a, b, y = any real number | |
| Algebra | \(x^1=x\) | x = any real number | |
| Algebra | \(x^0=1\) | x = any real number | |
| Algebra | \(x^{-a} = \dfrac {1}{x^a}\) | a, x = any real number | |
| Algebra | \(x^{\frac {a}{b}} = \sqrt[b]{x^a} = (\sqrt[b]{x})^a\) | a, b, x = any real number | |
| Algebra | \(\dfrac{x}{\sqrt{y}} \cdot \dfrac {\sqrt{y}}{\sqrt{y}} = \dfrac{x \sqrt{y}}{y}\) | x, y = 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 |
\(m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}\) | 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 y = dependent variable x = independent variable m = slope y = independent variable x = dependent variable |
Point-Slope Form |
| Quadratic Equations |
\(x= \dfrac{-b \pm \sqrt{b^2-4 \cdot a \cdot c}}{2 \cdot a}\) | a, b, c = constants c = y-axis intercept x = variable (x intercepts) |
Quadratic Formula for equation in the form \(ax^2+bx+c=0\) |
| Quadratic Equations |
\((a \pm b)^2 = (a^2 \pm 2 \cdot a \cdot b+b^2)\) | a, b = constants or variables | Square of sum or difference |
| Quadratic Equations |
\(a^2 - b^2 = (a+b)(a-b)\) | a, b = constants or variables | Difference of squares |
| Percents | \(a \cdot b\%=a \cdot \dfrac{b}{100}\) | a = any real number b% = any percent |
Remember to simplify if possible |
| Percents | \(\% = \dfrac{\vert b-a \vert}{b} \cdot 100= \dfrac{c}{b} \cdot 100\) | % = % increase or decrease a = new value b = original value c = amount of change |
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