Solving Linear Equations Steps

This video tutorial by Mr. J covers solving equations, starting with one-step equations using addition, subtraction, multiplication, and division. It progresses to multi-step equations, including those with variables on both sides, using the distributive property, and combining like terms. The tutorial also addresses equations involving negative numbers and those with two terms in the numerator. Each section provides examples and checks for correctness, offering a comprehensive understanding of solving equations.

What is the inverse operation used to solve the equation x - 9 = 28?

• Addition

• Division

• Subtraction

• Multiplication

In a two-step equation like 3x + 10 = 28, which operation should be undone first?

• Multiplication

• Addition

• Subtraction

• Division

When solving the equation -2W + 6 = 14, what is the first step?

• Divide both sides by -2

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by -2

How do you begin solving an equation with a fraction like (x + 7)/3 = 5?

• Subtract 7 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 7 to both sides

What is the first step in using the distributive property to solve 5(D - 7) = 20?

• Divide both sides by 5

• Add 7 to both sides

• Multiply 5 by each term inside the parentheses

• Subtract 7 from both sides

What is the solution for the equation 4x - 11 + 2x = 13 after combining like terms?

• x = 2

• x = 3

• x = 4

• x = 5

When solving the equation 5x - 4 = 2x + 11, what is the first step to isolate the variable?

• Subtract 5x from both sides

• Add 11 to both sides

• Subtract 2x from both sides

• Add 4 to both sides

In the equation 6(x + 3) = 2(4x - 1), what is the result after applying the distributive property?

• 6x + 3 = 8x + 1

• 6x + 18 = 8x + 2

• 6x + 3 = 8x - 1

• 6x + 18 = 8x - 2

How do you solve the equation -4(3a - 9) = 3(-7a + 9) after distributing?

• Combine like terms on both sides

• Add 9 to both sides

• Multiply both sides by 2

• Subtract 3a from both sides

What is the final solution for the equation -9(m - 2) + 7m = -10?

• m = 10

• m = 12

• m = 14

• m = 16