Graph a System of Equations

At which point do the graphs of these equations intersect?

• (0, 4)

• (4, 0)

• The graphs do not intersect.

• The graphs represent the same line

Tags

CCSS.8.EE.C.8B

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

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Tags

CCSS.8.EE.C.8B

The first equation in a system of two equations is x + 4y = 8. If the graph of the second equation does not intersect the graph of the first equation, what could be a second equation for this system?

(HINT: Convert the first equation to slope-intercept form.)

• y = 4x + 1

• y = 1/4x - 2

• y = -4x + 3

• y = -1/4x - 5

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

y = 2x + 1

y = 4x - 1

• One Solution

• No Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.8B

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Tags

CCSS.8.EE.C.8A

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B