Solving multi-step problems using linear equations in one variable

Create a two-step equation.

• 15 = -6x - 21

• 15 = -6x + 21

• 15 = 6x - 21

• 15 = 6x + 21

Solve the equation:

1 - 2x = -3 - 2x

• x = -10

• x = -12

• No solution

• x = -11

Select ALL equations that have one solution.

• 6x-2-3x=3x-2

• 6x-(3x+8)=16x

• 10+6x=15+9x-3x

• 11+3x-7=6x+5-3x

Answer explanation

An equation that has one solution has different coefficients on each side. It doesn't matter if the constant is the same or different.

6x-(3x+8)=16x

The coefficient on the left is 3.

The coefficient on the right is 16.

x + 6 = x + 1

• No solution

• One solution

• Infinite solutions

• The answer is not listed.

Describe the solution set:
2(x + 5) = 2x + 5

• one solution
• no solution
• infinitely many solutions
• two solutions

Solve the equation: 2x + 3 = 2x - 1

• x = 2

• x = -2

• Infinite solutions.

• No solution

5+2(n+1)=2n

• no solution

• -2

• 1/5

• 4

x + 7 = x + 6

• No solution

• All Real Numbers

• One solution of x = 1

• Two solutions of x = 1 or -1

If you solved an equation and ended up with

-6 = 7

What type of solution do you have?