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Writing System of Equations from Graphs and Tables

Authored by Adrienne Jones

Mathematics

9th Grade

CCSS covered

Used 4+ times

Writing System of Equations from Graphs and Tables
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10 questions

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1.

MATH RESPONSE QUESTION

2 mins • 1 pt

Media Image

The graph represents a system of linear equations. Write an equation in slope-intercept from (y=mx+b) of the red line.

Mathematical Equivalence

ON

2.

MATH RESPONSE QUESTION

2 mins • 1 pt

Media Image

The graph represents a system of linear equations. Write an equation in slope-intercept from (y=mx+b) for the green line.

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

3.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

The graph shows a system of equations. The slope of the two lines is (a)   . The y-intercept of the green line is ​ (b)   and the red line is ​ (c)   . The lines are ​ (d)  

parallel

perpendicular

zero

undefined

Answer explanation

The slope of both lines is 1, indicating they are parallel. The y-intercept of the green line is 4, and the red line is -7. Since the slopes are equal, the lines do not intersect.

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Media Image

The two tables represent a system of linear equations. Choose the two equations that represent the system.

Answer explanation

The equations y=-\frac{5}{2}x+2 and y=-\frac{9}{2}x+6 are correct as they represent the slopes and intercepts that match the given system of linear equations, while the others do not.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Media Image

Choose the two equations that represent the system of the equations on the graph.

Answer explanation

The equation x=5 represents a vertical line at x=5. The equation y=-2x+8 is a line with a negative slope that intersects the y-axis at 8. Together, they form the system of equations shown in the graph.

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which system of equations is represented by tables?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which linear inequality matches the graph.

Tags

CCSS.HSA.REI.D.12

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