Basic Linear Equations: SAT Math Review
Linear equations are a math fundamental
12 min read
What is a Linear Equation
A linear equation is an equation in which the highest power of the variable is 1. The general form of a linear equation is ax + b = c, where a, b, and c are constants. For example, 2x + 3 = 7 is a linear equation. To solve for x, we need to isolate x on one side of the equation.
Solving Linear Equations
To solve a linear equation, we can add, subtract, multiply, or divide both sides of the equation by the same value. For example, to solve 2x + 3 = 7, we can subtract 3 from both sides to get 2x = 4, then divide both sides by 2 to get x = 2. The SAT will test your ability to solve linear equations with 1 variable.
Practice with Examples
The Digital SAT Math section has 22 questions, and some of them will be linear equations. For example, if x + 2 = 9, what is the value of x? To solve this, we subtract 2 from both sides to get x = 7. Practicing with examples like this can help build your problem-solving skills. Try to solve 5 linear equations this week to build your confidence.
Section Adaptive Test
The Digital SAT is section adaptive, which means your performance on the first module decides whether the second module is easier or harder. If you struggle with linear equations, it may be best to focus on mastering the basics before moving on to more complex topics. Spending 30 minutes reviewing linear equations this week could save you time in the long run.
Common Mistakes to Avoid
One common mistake to avoid is not checking your work. Make sure to plug your solution back into the original equation to ensure it is true. For example, if x = 2, then 2x + 3 should equal 7. If it does not, then your solution is incorrect. Double-checking your work can help you avoid losing points on the SAT.
Review and Practice
Linear equations are a fundamental part of the SAT Math section, which is scored from 200 to 800. To achieve a high score, you need to be able to solve linear equations quickly and accurately. Set aside 1 hour this week to review and practice linear equations. This will help you build a strong foundation for the test.
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