Solving Linear Equations Steps

This video tutorial from ultimatealgebra.com covers the essential topic of solving equations in mathematics. It begins with an introduction to the importance of equations, followed by detailed explanations and examples of one-step and two-step equations. The tutorial progresses to more complex two-step equations involving distribution and parentheses, and concludes with multi-step equations requiring multiple operations. Throughout the video, the reversal of the order of operations is emphasized as a key strategy for solving equations. Viewers are encouraged to practice extensively to master these concepts.

What is the primary goal when solving an equation?

• To find the value of zero

• To isolate the variable on one side

• To make both sides of the equation equal

• To eliminate all numbers from the equation

In the equation X + 2 = 5, what operation should be performed to solve for X?

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 2

• Multiply both sides by 2

If 5A = 35, what is the value of A?

• 6

• 5

• 7

• 8

What is the opposite operation of multiplication?

• Exponentiation

• Division

• Subtraction

• Addition

In a two-step equation, which operation should be reversed first?

• Parentheses

• Exponentiation

• Multiplication or division

• Addition or subtraction

How do you solve the equation 2x + 3 = 11?

• Add 3, then multiply by 2

• Multiply by 2, then subtract 3

• Subtract 3, then divide by 2

• Divide by 2, then add 3

What is the first step in solving 2(x + 5) = 16 using distribution?

• Add 5 to both sides

• Multiply 2 by each term inside the parentheses

• Subtract 5 from both sides

• Divide both sides by 2

In the equation 5(x - 7) = 55, what should be done first?

• Add 7 to both sides

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 7 from both sides

What is the solution to the equation x/3 - 4 = 6?

• x = 24

• x = 30

• x = 18

• x = 10

How do you solve 3x^2 + 8 = 20?

• Subtract 8, divide by 3, then take the square root

• Add 8, multiply by 3, then square

• Multiply by 3, add 8, then take the square root

• Divide by 3, subtract 8, then square