Solving Equations with DP and CLT PA Quick Check

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Distributive Property?
Back
The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.
3.
FLASHCARD QUESTION
Front
What does it mean to combine like terms?
Back
Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.
4.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 1/2(5 - 3x) = 19?
Back
Multiply both sides by 2 to eliminate the fraction.
5.
FLASHCARD QUESTION
Front
How do you solve the equation 5(9x - 2) = 12?
Back
First, distribute the 5: 45x - 10 = 12. Then, add 10 to both sides and divide by 45.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation x - 5 + 3x - 11 = -3 - 4?
Back
Combine like terms to get 4x - 16 = -7, then solve for x to find x = 2.25.
7.
FLASHCARD QUESTION
Front
What does it mean to simplify an equation?
Back
Simplifying an equation means to reduce it to its simplest form by combining like terms and eliminating unnecessary elements.
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