Solve Multi-Step Equations Worksheet | 16 Examples

The video tutorial covers solving multistep equations with variables on both sides, focusing on cases with infinite solutions, no solutions, and unique solutions. It emphasizes the importance of simplifying expressions and using inverse operations to isolate variables. The tutorial provides multiple examples to illustrate these concepts, highlighting the need to get variables on the same side and the role of coefficients in determining the type of solution.

What is the first step when solving equations with variables on both sides?

• Get the variables to the same side

• Add numbers to both sides

• Divide both sides by a variable

• Multiply both sides by a constant

In the equation 3X + 4 = 5X - 10, what should you do to simplify it?

• Add 4 to both sides

• Subtract 5X from both sides

• Subtract 3X from both sides

• Add 10 to both sides

When both sides of an equation have the same variable coefficient, what can be concluded?

• The equation has no solution

• The equation has infinite solutions

• The equation is unsolvable

• The equation has a unique solution

How do you handle equations with negative coefficients?

• Get the variable to the side where it becomes positive

• Subtract the negative coefficient from both sides

• Always add the negative coefficient to both sides

• Ignore the negative coefficient

What happens when you eliminate a variable and the remaining equation is false?

• The equation has infinite solutions

• The equation has no solution

• The equation is incorrect

• The equation has a unique solution

What is the purpose of using the distributive property in solving equations?

• To divide both sides by a variable

• To multiply both sides by a constant

• To simplify expressions with parentheses

• To add variables to both sides

In the equation 2A + 3 = 1/2 * (6 + 4A), what is the first step to simplify?

• Multiply both sides by 2

• Add 3 to both sides

• Subtract 2A from both sides

• Distribute the 1/2

What does it mean if simplifying an equation results in a true statement like 3 = 3?

• The equation has no solution

• The equation has infinite solutions

• The equation has a unique solution

• The equation is incorrect

How do you solve an equation with parentheses on both sides?

• Divide both sides by a variable

• Multiply both sides by a constant

• Add the terms inside the parentheses

• Use the distributive property to eliminate the parentheses

What should you do if an equation simplifies to 0 = 5?

• Recheck the equation for errors

• Conclude the equation has infinite solutions

• Conclude the equation has no solution

• Solve for the variable