Solving Two Step Equations

What is the primary goal when solving two-step equations?

• To simplify the equation to a single operation

• To perform all operations in one step

• To find the value that makes the equation true

• To eliminate all variables

Which operations are considered inverse to each other?

• Multiplication and addition

• Addition and subtraction

• Subtraction and division

• Addition and multiplication

In the hanger diagram example, what is the first step to solve the equation 4x + 7 = 47?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 4

• Divide both sides by 4

After subtracting 7 on both sides of the equation 4x + 7 = 47, what is the next step?

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by 4

What operation is used first to solve the equation 3(x - 2) = 45?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of dividing both sides of 3(x - 2) = 45 by 3?

• x + 2 = 15

• x - 2 = 5

• x + 2 = 5

• x - 2 = 15

What is the final value of x in the equation 3(x - 2) = 45 after all operations?

• 19

• 17

• 15

• 13

For the practice problem 6x + 7 = 10, what type of diagram is suggested to use?

• Tape diagram

• Hanger diagram

• Bar graph

• Pie chart

In the practice problem 3x - 5 = 43, what is the first step to isolate x?

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the value of x in the equation 3x - 5 = 43?

• 14

• 15

• 16

• 17