Isolating quantities
Kevin Lee
6 min read
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Study Guide Overview
This study guide covers variable isolation for SAT Math. It explains using inverse operations (SADMEP), combining like terms, and the distributive property to solve equations. It also includes strategies for solving equations with variables on both sides and provides practice questions.
#AP SAT Math: Mastering Variable Isolation 🚀
Hey there! Ready to ace the SAT Math section? Let's dive into isolating variables – a skill that's absolutely crucial for solving equations quickly and accurately. Think of it as detective work: we're uncovering the value of a variable by strategically using math operations. This guide will be your go-to resource the night before the exam, making sure you're confident and ready to tackle any equation!
# Isolating Variables with Inverse Operations
#Understanding Inverse Operations
Isolating a variable means getting it all alone on one side of the equation. We do this by using inverse operations – the opposite of whatever's happening to the variable.
- Addition and subtraction are inverse operations.
- To undo addition, subtract from both sides.
- To undo subtraction, add to both sides.
- Multiplication and division are inverse operations.
- To undo multiplication, divide both sides.
- To undo division, multiply both sides.
- Remember to always perform the same operation on both sides of the equation to maintain balance.
- Think of it like a seesaw – if you add weight to one side, you have to add the same weight to the other side to keep it balanced.
- Use the reverse order of operations (SADMEP - Subtraction, Addition, Division, Multiplication, Exponents, Parentheses) when isolating a variable.
#Examples of Isolating Variables
- Example 1: I...
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