Solving Linear Equations Steps

This video tutorial by Kirk Wier from emath instruction covers a review of solving linear equations, including two-step equations, handling fractions, and solving more complex equations with variables on both sides. The lesson provides examples and practice problems to reinforce understanding and fluency in solving linear equations, a key skill in Common Core Algebra 1.

What is a linear equation?

• An equation with no variables

• An equation where the variable is to the first power

• An equation with multiple variables

• An equation where the variable is squared

What is the first step in solving the equation x/3 - 7 = -2?

• Multiply both sides by 3

• Add 7 to both sides

• Divide both sides by 3

• Subtract 7 from both sides

In the equation 4x + 3 = -7, what should you do first to solve for x?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 3 from both sides

• Add 3 to both sides

How do you solve the equation 5x + 12 = 87?

• Divide by 5, then subtract 12

• Add 12 to both sides, then multiply by 5

• Subtract 12 from both sides, then divide by 5

• Multiply by 5, then add 12

What is the solution to the equation x + 7 = 6?

• x = 13

• x = -1

• x = -13

• x = 1

In the equation -6(x - 1) = 18, what is the first step to solve for x?

• Subtract 1 from both sides

• Multiply both sides by -6

• Divide both sides by -6

• Add 1 to both sides

How do you solve the equation 8x + 2 = -2?

• Multiply by 8, then add 2

• Divide by 8, then subtract 2

• Subtract 2 from both sides, then divide by 8

• Add 2 to both sides, then multiply by 8

What is the solution to the equation 3/4x - 5 = 4?

• x = 12

• x = 7

• x = 9

• x = 15

In the equation -5/2x + 6 = -5, what is the first step to solve for x?

• Add 6 to both sides

• Divide by -5/2

• Multiply by -2/5

• Subtract 6 from both sides

How do you solve the equation 6x - 3 = -4?

• Add 3 to both sides, then divide by 6

• Subtract 3 from both sides, then multiply by 6

• Divide by 6, then add 3

• Multiply by 6, then subtract 3