Multi-step Equations
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+3
Standards-aligned
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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 isolate the variable and solve for its value.
Tags
CCSS.8.EE.C.7B
2.
FLASHCARD QUESTION
Front
How do you solve the equation -2(x-3)+4 = 24?
Back
First, distribute -2 to (x-3) to get -2x + 6. Then, combine like terms: -2x + 6 + 4 = 24, which simplifies to -2x + 10 = 24. Subtract 10 from both sides to get -2x = 14, and finally divide by -2 to find x = -7.
Tags
CCSS.7.EE.B.4A
3.
FLASHCARD QUESTION
Front
What is the solution to the equation 6x + 3(-x + 11) = 3?
Back
First, distribute 3 to (-x + 11) to get 6x - 3x + 33 = 3. Combine like terms: 3x + 33 = 3. Subtract 33 from both sides to get 3x = -30, and divide by 3 to find x = -10.
Tags
CCSS.8.EE.C.7B
4.
FLASHCARD QUESTION
Front
What does the term 'variable' mean in algebra?
Back
A variable is a symbol, often a letter, that represents an unknown number in an equation or expression.
Tags
CCSS.6.EE.A.2B
5.
FLASHCARD QUESTION
Front
How do you solve the equation 4 - 2(x - 3) = 24?
Back
First, distribute -2 to (x - 3) to get 4 - 2x + 6 = 24. Combine like terms: 10 - 2x = 24. Subtract 10 from both sides to get -2x = 14, and divide by -2 to find x = -7.
Tags
CCSS.7.EE.B.4A
6.
FLASHCARD QUESTION
Front
What is the solution to the equation -20 = -4x - 6x?
Back
Combine like terms on the right side: -20 = -10x. Divide both sides by -10 to find x = 2.
Tags
CCSS.8.EE.C.7B
7.
FLASHCARD QUESTION
Front
What is the first step in solving a multi-step equation?
Back
The first step is to simplify both sides of the equation, which may include distributing, combining like terms, or moving terms from one side to the other.
Tags
CCSS.8.EE.C.7B
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