Solving Two-Step Equations

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

• To isolate the variable on one side of the equation

• To subtract the largest number first

• To perform addition on both sides

• To multiply each term by the same number

What should be done first when solving a two-step equation?

• Multiply or divide the coefficient

• None of the above

• Add or subtract the constant term

• Calculate the final value of x

In the equation 3x + 4 = 16, what is the first operation to perform?

• Divide by 3

• Multiply by 3

• Add 4

• Subtract 4

After simplifying 3x + 4 = 16 to 3x = 12, what is the next step?

• Multiply by 12

• Divide by 3

• Subtract 12

• Add 3

How do you solve the equation 5x - 10 = 19 for x?

• x = 5.8

• x = 6.9

• x = 6.8

• x = 5.9

What is the first step in solving the word problem involving 331 students and 6 buses?

• Multiply 6 by 7

• Subtract 7 from 331

• Add 7 to 6

• Divide 331 by 6

What does the equation 6s + 7 = 331 represent in the word problem?

• Total number of buses and students

• Number of students per bus plus seven students in cars

• Number of buses times students in each

• None of the above

What is the final value of x in the equation 6x + 7 = 331?

• x = 54

• x = 55

• x = 56

• x = 57

What is the inverse operation to addition in two-step equations?

• None of the above

• Subtraction

• Division

• Multiplication

Why is it important to perform the same operation on both sides of an equation?

• To maintain the balance of the equation

• To simplify the equation

• To eliminate all variables

• To isolate the constant