Solving 1 Variable Linear Equations

What are the three possible types of solutions for one variable linear equations?

• One solution, two solutions, infinite solutions

• Two solutions, infinite solutions, no solution

• One solution, infinite solutions, no solution

• One solution, two solutions, no solution

In the example where 3 = X - 18, what is the value of X?

• 18

• 21

• 42

• 24

Why do we check the solution by substituting it back into the original equation?

• To simplify the equation

• To verify that the solution is correct

• To find a different solution

• To eliminate the variable

What does the equation X = X represent?

• Two solutions

• One solution

• No solution

• Infinite solutions

In the equation 2X + 6 = 2(X + 3), what happens after applying the distributive property?

• 2X + 6 = 2X + 3

• 2X + 6 = 2X - 6

• 2X + 6 = 2X + 6

• 2X + 6 = X + 6

What does it mean if an equation simplifies to 6 = 6?

• The equation is incorrect

• There are no solutions

• There is one solution

• There are infinite solutions

In the equation X + 3 = X - 5, what happens when you subtract X from both sides?

• 3 = -5

• X = -5

• 3 = X

• X = 3

What does it mean if an equation simplifies to 3 = -5?

• There is one solution

• There are no solutions

• There are infinite solutions

• The equation is incorrect

In the equation 2X + 6 = 2X - 10, what happens when you subtract 2X from both sides?

• X = 6

• X = -10

• 6 = -10

• 2X = -10

What are the three possible outcomes when solving one variable linear equations?

• Two solutions, infinite solutions, no solution

• One solution, two solutions, no solution

• One solution, infinite solutions, no solution

• One solution, two solutions, infinite solutions