Solving Two-Step Equations in Algebra

This video tutorial by Math Antics introduces solving two-step equations involving addition, subtraction, multiplication, and division. It explains the importance of using the order of operations in reverse to solve these equations. The video provides examples of solving simple two-step equations and highlights the role of grouping, such as parentheses and implied groups in fractions. The tutorial emphasizes the need for practice to master solving two-step equations.

What makes solving two-step equations more complicated than single-step equations?

• They always have fractions.

• They always involve exponents.

• They require following the order of operations.

• They involve more than one arithmetic operation.

What is the first step in solving a two-step equation using the reverse order of operations?

• Undo the multiplication or division.

• Simplify the equation.

• Combine like terms.

• Undo the addition or subtraction.

In the equation 2x + 2 = 8, what operation should be undone first?

• Addition

• Subtraction

• Division

• Multiplication

After subtracting 2 from both sides in the equation 2x + 2 = 8, what is the next step?

• Add 2 to both sides.

• Subtract 2 from both sides again.

• Multiply both sides by 2.

• Divide both sides by 2.

In the equation x/2 - 1 = 4, what is the first step to solve for x?

• Divide both sides by 2.

• Subtract 1 from both sides.

• Add 1 to both sides.

• Multiply both sides by 2.

What is the result of adding 1 to both sides in the equation x/2 - 1 = 4?

• x/2 = 5

• x/2 = 3

• x = 5

• x = 3

How do parentheses affect the order of operations in an equation?

• They make the equation unsolvable.

• They indicate that operations inside them should be done first.

• They indicate that operations inside them should be done last.

• They have no effect on the order of operations.

In the equation 2(x + 2) = 8, what is the first step to solve for x?

• Multiply both sides by 2.

• Divide both sides by 2.

• Subtract 2 from both sides.

• Add 2 to both sides.

What does the fraction line imply in algebra?

• It has no special meaning.

• It indicates subtraction.

• It indicates addition.

• It groups terms above and below it.

In the equation (x - 1)/2 = 4, what is the first step to solve for x?

• Divide both sides by 2.

• Subtract 1 from both sides.

• Multiply both sides by 2.

• Add 1 to both sides.