Determining the Number of Solutions of an Equation

How many solutions does the following equation have?

−5x + 5 − 4x = −1 − 9x

• One Solution

• No Solutions

• Infinitely Many Solutions

• Two solutions

Tags

CCSS.8.EE.C.7A

How many solutions does the following equation have?

3(−2x − 6) = −6x − 8

• One Solution

• No Solutions

• Infinitely Many Solutions

• Two solutions

Tags

CCSS.8.EE.C.7A

Use the properties of equality to simplify each equation. Tell whether the equation has one, zero, or infinitely many solutions.

3x - 7 = 3(x - 3) + 2

• one solution

• no solution

• infinitely many

• two solutions

Tags

CCSS.8.EE.C.7A

How many solutions does the following equation have:

7x – 4 + x = -1 + 13x + 7

• One solution

• Two solutions

• No solution

• Infinitely many: all real numbers

Tags

CCSS.8.EE.C.7A

• One solution

• Two solutions

• No solution

• Infinitely many: all real numbers

Tags

CCSS.8.EE.C.7A

2(4x + 6) + 3 = 8(x + 2) - 1

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.8.EE.C.7A

Match the equation with the number of solutions.

16 + 6x = 2(3x + 8) ​ (a)  

15 = 7 - 3x ​ (b)  

2 + 4x - 12 = 4(x - 3) ​ (c)  

• Identity

• One Solution

• No Solution

Tags

CCSS.8.EE.C.7A

Match the following equation to the number of solutions it has:

• One Solution

• 4x + 6 = 4x - 6

• No Solution

• 4x + 6 = 6x + 4

• Infinitely Many Solutions

• 4x + 6 = 2(2x + 3)

Tags

CCSS.8.EE.C.7A

Solve the equation and determine the number of solutions.

0.5(3x + 5) - 0.1(12x - 5) = 3(1 + 0.1x).

• No solution

• one solutions

• infinite solutions

Tags

CCSS.8.EE.C.7A

2(3x - 1) - (-5 - x) = 7x + 3

• one solution

• infinite solutions

• no solution

Tags

CCSS.8.EE.C.7A