Understanding One-Step and Two-Step Equations

The video tutorial covers solving one-step and two-step equations, emphasizing the importance of maintaining balance in equations. It introduces algebra tiles as a visual aid for understanding addition, subtraction, and multiplication equations. The lesson progresses from basic one-step equations to more complex two-step equations, highlighting the use of the multiplicative inverse. The tutorial concludes with a summary and homework instructions, stressing the importance of showing work.

What is the key principle to remember when solving equations?

• Multiply both sides by zero.

• Subtract the same number from both sides.

• Whatever you do to one side, do to the other.

• Always add the same number to both sides.

How can algebra tiles help in solving x + 3 = 4?

• By adding three positive tiles to both sides.

• By removing all tiles from one side.

• By multiplying both sides by 3.

• By adding three negative tiles to both sides.

What is the solution to the equation x - 2 = 3 using algebra tiles?

• x = 7

• x = 5

• x = 3

• x = 1

When solving 4x = -8, what is the value of x?

• x = -2

• x = 2

• x = -4

• x = 4

What is the multiplicative inverse of 3/4?

• 1/4

• 1/3

• 3/4

• 4/3

How do you solve 2x + 4 = 12?

• Add 4 to both sides, then divide by 2.

• Subtract 4 from both sides, then divide by 2.

• Multiply both sides by 2, then add 4.

• Divide both sides by 2, then subtract 4.

What is the first step in solving 3x = 18?

• Multiply both sides by 3.

• Add 3 to both sides.

• Divide both sides by 3.

• Subtract 3 from both sides.

In the equation 4/5x = 12, what should you multiply both sides by?

• 5/4

• 4/5

• 5

• 1/5

What is the solution to x/5 = -7?

• x = 5

• x = -5

• x = 35

• x = -35

What should you do first when solving (x - 8)/3 = 11?

• Subtract 8 from both sides.

• Divide both sides by 3.

• Multiply both sides by 3.

• Add 8 to both sides.