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Substitution Graphing Linear Equations

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Substitution Graphing Linear Equations
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the solution to this system of equations? Solve by substitution or graphing.

(7, -8)

(-7, 8)

(-7, -8)

(7, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

(2, -2)
(2, 2)
(-2, 2)
(-2, -2)

Tags

CCSS.8.EE.C.8A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

(3,-9)

(-3,-9)

(-3,9)

(0,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The solution (x, y) to a system of equations is the point where they...? 

Run off the graph

Don't touch

Intersect

Exist

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Choose the correct equation for the given graph.

y = x + 2

y = 4 + x

y = x - 2

y = 4 - x

Answer explanation

As we can see in the graph that the line is intersecting x axis at 2 and y axis at -2. So here we have got two points (2, 0) and (0, -2). Now let's substitute these points in y = x - 2 (2, 0) In LHS, y = 0 In RHS, x - 2 = 2 - 2 = 0 So, LHS = RHS (0, -2) In LHS, y = -2 In RHS, x - 2 = 0 -2 = -2 So, LHS = RHS Therefore, The graph in the figure is of the equation y = x - 2 and option 3 is the correct answer.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The system's solution occurs at

(1, 4)

(4, 1)

(-4, 1)

No solution

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

y = -2x + 18
y = 8

(5, 8)

(-5, 8)

(2, 8)

(-2, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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