Solving one variable linear equations

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation in one variable?
Back
A linear equation in one variable is an equation that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.
Tags
CCSS.6.EE.B.7
3.
FLASHCARD QUESTION
Front
What does it mean if an equation has infinite solutions?
Back
An equation has infinite solutions if any value of the variable satisfies the equation, often occurring when both sides of the equation are equivalent.
Tags
CCSS.8.EE.C.7A
4.
FLASHCARD QUESTION
Front
What is the first step in solving the equation -4(3w + 4) - 14 = 3(2w - 4) - 9w?
Back
The first step is to distribute the -4 and 3 across their respective parentheses.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation 2w/5 - 9 = 11?
Back
The solution is w = 50.
Tags
CCSS.7.EE.B.4A
6.
FLASHCARD QUESTION
Front
How do you check if your solution to a linear equation is correct?
Back
You substitute the solution back into the original equation to see if both sides are equal.
7.
FLASHCARD QUESTION
Front
What is the significance of the equation 1/6 x = 15 in a word problem?
Back
This equation represents a relationship where one sixth of the total number of candies (x) equals 15, allowing you to find the total number of candies.
Tags
CCSS.6.EE.B.7
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