Solving Multi-Step Equations with Variables on Both Sides

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a multi-step equation?
Back
An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.
2.
FLASHCARD QUESTION
Front
What does it mean to have variables on both sides of an equation?
Back
It means that the variable(s) appear on both the left and right sides of the equation, requiring manipulation to isolate the variable.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 4(a + 3) = -32?
Back
Distribute 4 to both a and 3.
4.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
By performing inverse operations to both sides of the equation until the variable is alone on one side.
5.
FLASHCARD QUESTION
Front
What is the distributive property?
Back
A property that states a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.
6.
FLASHCARD QUESTION
Front
Solve for a: 4(2a + 3) = -3(a - 1) + 31
Back
a = 2.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 5x - 14 = 8x + 4?
Back
x = -6.
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