Solving Two-Step Equations

Miranda Stanglin, a mathematician, explains how to solve two-step equations with rational numbers for seventh-grade students. She introduces the concept of solving for unknowns, typically represented by the variable X, and demonstrates this through several example problems. The video covers isolating the variable by performing operations on both sides of the equation, checking solutions for accuracy, and solving equations involving addition, subtraction, and multiplication.

What is the primary goal when working with two-step equations?

• To solve for the unknown variable

• To multiply all terms by zero

• To eliminate all numbers

• To find the value of the constant

In the equation 3 + x = 5, what is the first step to isolate x?

• Add 3 to both sides

• Multiply both sides by 3

• Subtract 3 from both sides

• Divide both sides by 3

After isolating x in the equation 3 + x = 5, what is the value of x?

• 1

• 4

• 2

• 3

In the equation 7 - x = 10, what operation is used to move 7 to the other side?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

What is the value of x in the equation 7 - x = 10 after solving?

• 10

• -3

• 3

• 7

How do you handle a negative sign on the variable in the equation 7 - x = 10?

• Multiply both sides by -1

• Divide both sides by -1

• Subtract 1 from both sides

• Add 1 to both sides

Why is it important to check your solution in a two-step equation?

• To verify the solution satisfies the original equation

• To change the variable

• To make the equation more complex

• To ensure the variable is positive

What is the result of checking the solution x = 2 in the equation 3 + x = 5?

• 3 + 2 = 3

• 3 + 2 = 4

• 3 + 2 = 5

• 3 + 2 = 6

In the equation 3 * x = 15, what operation is used to isolate x?

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

What is the value of x in the equation 3 * x = 15 after solving?

• 3

• 5

• 15

• 10