Algebra Class: Solving 2-Step Equations

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Questions and Answers

What is the first step to solve the equation $2n + 7 = 25$?

Add 7 to both sides
Divide both sides by 2
Multiply both sides by 2
Subtract 7 from both sides (correct)

The equation $X/5 - 4 = -14$ can be solved by first multiplying both sides by 5.

False (B)

What is the solution for the equation $X + 3 = -7$?

-10

In the equation $3x = -18$, the value of x is ______.

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Match the equations with their corresponding solutions:

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Flashcards

Two-Step Equation

A mathematical equation that requires two steps to solve, involving both addition/subtraction and multiplication/division.

Order of Operations (PEMDAS)

The order in which operations are performed in a mathematical expression. Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Properties of Equality

An equation where the same operation is performed on both sides to maintain equality. For example, adding 5 to both sides of an equation will keep both sides balanced.

Solving an Equation

The process of simplifying an equation by isolating the variable on one side. This involves performing inverse operations to remove constants and coefficients.

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Isolate a Variable

To find the value of a variable in an equation, we perform the same operations on both sides of the equation to keep it balanced. This helps us isolate the variable and find its solution.

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Study Notes

Solving 2-Step Equations

Equations: x + 3 = -7, x = -10; x / -2 = 5; 3x = -18
Order of Operations: When solving equations, follow the order of operations in reverse
Undoing Operations: To isolate the variable, perform the inverse operation of addition or subtraction first, followed by multiplication or division
Example (2n + 7 = 25):
- Subtract 7 from both sides: 2n = 18
- Divide both sides by 2: n = 9
Example (x/5 - 4 = -14):
- Add 4 to both sides: x/5 = -10
- Multiply both sides by 5: x = -50