Formula Chart for the Heart of Algebra Questions on the SAT® Math Test
A total of 58 Math questions are between you and your dream career. What are you going to do? How can you succeed in the SAT® Math test? First of all, study section by section. The math questions on the SAT® are not divided by math area, but our practice materials are.
A total of 19 out of the 58 Math questions on the actual test will be about the Heart of Algebra. The good news is that you won’t be doing a lot of calculations in these questions, but that means that you have to absolutely dominate handling formulas and mathematical expressions.
To help you with that, we’ve compiled the essential formulas you’ll need to master for the Heart of Algebra questions on the Math Test.
Here are three additional formula charts for the SAT® Math Test:
You can start preparing today by working on our FREE practice test and using this chart:
Category  Formula  Symbols  Comment 

Heart of Algebra 
\(x+a=b \Rightarrow x=ba\) \(xa=b \Rightarrow x=b+a\) \(x \cdot a=b \Rightarrow x=b \div a\) \(x \div a=b \Rightarrow x=b \cdot a\) \(x^a=b \Rightarrow x = \sqrt[a]{b}\) \(\sqrt[a]{x}= b \Rightarrow x= b^a\) \(a^x=b \Rightarrow x=\frac{log\ b}{log\ a}\) 
a, b = constants x = variable 

Heart of Algebra 
\(A \cdot x + B \cdot y = C\)  A, B, C = any real number y = dependent variable x = independent variable 
Standard form 
Heart of Algebra 
\(y = m \cdot x + b\)  y = dependent variable m = slope x = independent variable b = y axis intercept 
Slopeintercept form 
Heart of Algebra 
\(yy_1 = m(xx_1)\)  y = dependent variable m = slope x = independent variable b = y axis intercept \((x_1, y_1)\) = given point 
Pointslope form 
Heart of Algebra 
\(m = \dfrac{(y_2  y_1)}{(x_2  x_1)}\)  m = slope \(y_n\) = independent variable (point n) \(x_n\) = dependent variable (point n) 
Slope of a line 
Heart of Algebra 
\(f(x) = ax^2 + bx + c\)  a, b, c = constants c = y axis intercept x = variable 
Standard form 
Heart of Algebra 
\(f(x) = a(xh)^2 + k\)  a = constant h = constant (horizontal shift) k = constant (vertical shift) x = variable 
Vertex form 
Heart of Algebra 
\(x= \dfrac{b \pm \sqrt{b^24 \cdot a \cdot c}}{2 \cdot a}\)  a, b, c = constants c = y axis intercept x = variable (x intercept) 
Quadratic formula 
Heart of Algebra 
\(x= \dfrac{b}{2a}\)  a, b = constants x = axis of symmetry 
Axis of symmetry 
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