Testing Solutions to Linear Equations

Identify the solution to the system

• One Solution

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

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

• Run off the graph

• Don't touch

• Intersect / Cross

• Exist

Tags

CCSS.8.EE.C.8B

Will the solution (-3, -7) make the following system of equations a true statement? y = 4x + 5 y = x – 4

• Yes

• No

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

• Consistent : Unique solution
• Consistent: Many Solutions 
• Inconsistent: No solution 
• None of the above 

Tags

CCSS.8.EE.C.8A

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

The solution of equation x-2y = 4 is:

• (0,2)

• (2,0)

• (4,0)

• (1,1

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

The solution of equation x-2y = 4 is:

• (0,2)

• (2,0)

• (4,0)

• (1,1

The sum of two numbers is -2.  The difference is -​ 12.  
Find the 2 numbers

​ ​ (a)   ​ (b)   ​

• 5

• -7

• 6

• -4

• 3

• -3

• 2

• -2

Tags

CCSS.8.EE.C.8C