What is the solution to the system of equations represented by the lines $$y=-\frac{1}{2}x+8$$ and $$y=-\frac{2}{3}x+8$$ ?

The solution is the point where the two lines intersect, which is $$(0,8)$$ .

How do you solve the system of equations $$y=3-x$$ and $$3y+x=5$$ using graphing?

Graph both equations and find the intersection point, which is $$(2,1)$$ .

What is the solution to the system of equations $$y=x-2$$ and $$y=-2x+1$$ ?

The solution is the point where the two lines intersect, which is $$(1,-1)$$ .

What is the first step Anayeli should take when using substitution to solve the system $$2x+3y=4$$ and $$y=5x+1$$ ?

She should substitute $$y$$ in the first equation: $$2x+3(5x+1)=4$$ .

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, indicating the value of $$y$$ when $$x=0$$ .

How can you determine the slope of a line from its equation in slope-intercept form?

The slope is the coefficient of $$x$$ in the equation $$y=mx+b$$ , where $$m$$ is the slope.

What is the substitution method in solving systems of equations?

It involves solving one equation for one variable and substituting that expression into the other equation.

What does the term 'system of equations' refer to?

It refers to a set of two or more equations with the same variables.

What is the meaning of the term 'intersect' in the context of graphing equations?

To intersect means that the lines cross at a point, which represents a solution to the system.

What is the standard form of a linear equation?

The standard form is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers.

What is the purpose of graphing a system of equations?

Graphing helps visualize the solutions and understand the relationship between the equations.

What does it mean if a system of equations has infinitely many solutions?

It means the equations represent the same line, and every point on that line is a solution.

How do you find the x-intercept of a linear equation?

Set $$y=0$$ in the equation and solve for $$x$$ .

Unit 6 Flashcard Review Part 3 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.C.8B

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.C.8B

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

FLASHCARD QUESTION

Front

What does it mean when we say the solution to a system of equations is the point where the two lines intersect?

Back

It means that the coordinates of that point satisfy both equations simultaneously.

Tags

CCSS.8.EE.C.8B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

FLASHCARD QUESTION

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.

Tags

CCSS.8.EE.C.8A

7.

FLASHCARD QUESTION

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution, as the lines never intersect.

Tags

CCSS.8.EE.C.8B

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