Determine Solutions One Variable Linear Equations

How many solutions does the following equation have?

7 ( y + 3 ) = 5y + 8

• No Solution

• One Solution

• Infinitely Many Solutions

How many solutions does this equation have?

5(x -3) + 6 = 4x + 3

• one solution

• no solution

• infinite solutions

Solve for x: 12 (x + 3 ) = 4 (2x + 9 ) +4x

• No Solution

• One Solution

• Infinite Solutions

Solve the equation, if possible.
$13k+3\left(k+11\right)=8k-7$

• 5

• no solution

• Many Solutions

• -5

3(x - 2) = 18

• 6.7

• 4

• 8

• -4

• none of the above

1. Kylie and Ricardo decide to start a dog watching business for their neighborhood. 

3. Kylie thinks it would be best to charge customers $27 for a membership and then $5 per time they walk a dog. 

5. Ricardo thinks it would be best to charge $8 per dog walk. 

7. For what number of walks will their two plans cost the same amount of money?

Mathematical Equivalence

ON

Find the solution:
10 = 4x - 2

• x = 3

• x = 2

• x = -3

• x = -2

Solve:

3(x - 2) = 18

• 6.7

• 4

• 8

• -4

• none of the above

Solve the equation:
-5x = 25

• x = 20

• x = -20

• x = -5

• x = 5

What is the result of solving for the variable?

-2x = 6

• x = -12

• x = 3

• x = -3

• x = 12