Solutions to Linear Equations

Solutions to Linear Equations

Assessment

Flashcard

Mathematics

7th - 12th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.C.8A, 8.F.B.4

+4

Standards-aligned

Created by

Wayground Content

FREE Resource

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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 represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is and the direction it goes (positive or negative).

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What is the significance of two linear equations having different slopes?

Back

If two linear equations have different slopes, they will intersect at exactly one point, meaning they have one unique solution.

Tags

CCSS.8.EE.C.8B

4.

FLASHCARD QUESTION

Front

What happens when two linear equations have the same slope but different y-intercepts?

Back

When two linear equations have the same slope but different y-intercepts, they are parallel lines and will never intersect, meaning they have no solutions.

Tags

CCSS.8.EE.C.8A

5.

FLASHCARD QUESTION

Front

What is the graphical representation of a system of linear equations?

Back

The graphical representation of a system of linear equations consists of the lines corresponding to each equation plotted on a coordinate plane.

Tags

CCSS.8.EE.C.8A

6.

FLASHCARD QUESTION

Front

How can you determine the number of solutions in a system of linear equations?

Back

The number of solutions can be determined by analyzing the slopes and y-intercepts of the equations: one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (same line).

Tags

CCSS.8.EE.C.8A

7.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

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