Equations with No, one or infinitely many solutions

An equation is shown.

4 (4y - 6) = 16y + 5

How many solutions does the equation have?

• One Solution

• Two solutions

• Infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.7A

 $3\ \left(6x\ +\ 1\right)=\ \frac{1}{3}\left(6x\ +\ 18\right)$  An equation is shown.
How many solutions does the equation have?

• One solution

• Two solutions

• Infinitely many solutions

• No solutions

Tags

CCSS.8.EE.C.7A

Which response best explains why the equation

2 ( x + 3) = 2 (x - 5) has no solution?

• The x-terms are different, but the constant terms are the same.

• The x-terms are the same, but the constant terms are different.

• The x -terms are different , and the constant terms are different.

• The x-terms are the same, and the constant terms are the same.

Tags

CCSS.8.EE.C.7A

1. An equation is shown.

ax + b = 3x+4

Enter values of a and b so that the system has infinitely many solutions.

a =

b =

(a)  

Tags

CCSS.8.EE.C.8B

Which of the following best describes the solution to the equation 4 ( 2x + 3) = 16x + 12 - 8x?

• The equation has one equation.

• The equation has infinitely many solutions.

• The equation has no solution.

• The equation has two solutions.

Tags

CCSS.8.EE.C.7A

Solve 49x + 9 = 49x + 83.

Does the equation have one solution, no solution, or infinitely many solutions?

(a)  

Tags

CCSS.8.EE.C.7A

Classify the equation 170x - 1,000 = 30 (5x - 30) as having one solution, no solution, or infinitely many solutions.

(a)  

Tags

CCSS.8.EE.C.7A

Solve 4x + x + 4 = 8x - 3x + 4. Does the equation have one solution, no solution, or infinitely many solutions? If one solution, write the solution.

(a)  

Tags

CCSS.8.EE.C.7A