
U1 8th Grade Review Solving Linear Equations and Inequalities
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
How do you solve a linear equation for x?
Back
To solve a linear equation for x, isolate x on one side of the equation by performing inverse operations on both sides.
Tags
CCSS.7.EE.B.4A
3.
FLASHCARD QUESTION
Front
What is the solution to the equation 4x + 1 = 7x - 5?
Back
The solution is x = 2.
4.
FLASHCARD QUESTION
Front
What does it mean to graph an inequality?
Back
Graphing an inequality involves representing the set of solutions on a number line or coordinate plane, using a solid line for 'greater than or equal to' and 'less than or equal to', and a dashed line for 'greater than' and 'less than'.
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
How do you solve the inequality 7n - 1 > 76?
Back
To solve the inequality, add 1 to both sides to get 7n > 77, then divide by 7 to find n > 11.
Tags
CCSS.7.EE.B.4B
6.
FLASHCARD QUESTION
Front
What is the difference between a linear equation and a linear inequality?
Back
A linear equation shows equality (e.g., 2x + 3 = 7), while a linear inequality shows a relationship of greater than or less than (e.g., 2x + 3 > 7).
7.
FLASHCARD QUESTION
Front
What does the solution x > -9 represent in the inequality -2(x + 2) < 14?
Back
The solution x > -9 indicates that any value greater than -9 satisfies the inequality.
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