Solving multi-step equations

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•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a multi-step equation?
Back
A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.
2.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 5x - 4 + 2x = 3?
Back
Combine like terms: 5x + 2x = 7x, so the equation becomes 7x - 4 = 3.
3.
FLASHCARD QUESTION
Front
How do you isolate the variable in the equation 7x - 4 = 3?
Back
Add 4 to both sides: 7x = 3 + 4, which simplifies to 7x = 7.
4.
FLASHCARD QUESTION
Front
What is the solution to the equation 7x = 7?
Back
Divide both sides by 7: x = 1.
5.
FLASHCARD QUESTION
Front
What does it mean to distribute in an equation?
Back
To distribute means to multiply a term by each term inside parentheses. For example, in 2(4x - 4), you would multiply 2 by 4x and 2 by -4.
6.
FLASHCARD QUESTION
Front
Solve the equation 3x + 2(4x - 4) = 3.
Back
First distribute: 3x + 8x - 8 = 3. Combine like terms: 11x - 8 = 3. Add 8 to both sides: 11x = 11. Divide by 11: x = 1.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation (2x - 3) / 4 = 9?
Back
Multiply both sides by 4: 2x - 3 = 36. Add 3 to both sides: 2x = 39. Divide by 2: x = 19.5.
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