Solving Linear Equations Concepts

The video tutorial explains how to solve two-step equations, emphasizing the importance of isolating the variable by removing constants and coefficients. It covers various scenarios, including rearranged terms, negative signs, division, and equations with parentheses. The tutorial provides step-by-step examples to ensure understanding and verification of solutions.

What is the first step in solving the equation 2x + 5 = 13?

• Add 5 to both sides

• Divide both sides by 2

• Subtract 5 from both sides

• Multiply both sides by 2

If you rearrange an equation, what remains unchanged?

• The solution

• The strategy to solve it

• The constants

• The variables

How do you handle a negative sign in front of a variable?

• Rewrite it as a negative one

• Treat it as a positive

• Ignore it

• Add it to both sides

What is the result of solving 7C = 21?

• C = 4

• C = 3

• C = 2

• C = 5

When solving 4G - 13 = 15, what is the first step?

• Multiply both sides by 4

• Add 13 to both sides

• Subtract 13 from both sides

• Divide both sides by 4

What operation is used to eliminate division in an equation?

• Division

• Multiplication

• Subtraction

• Addition

How do you solve an equation with a negative coefficient outside parentheses?

• Add the coefficient to both sides

• Multiply by the coefficient

• Divide by the coefficient

• Rewrite it as multiplication by negative one

What is the solution to the equation x + 3 / -2 = 8?

• x = 19

• x = -19

• x = 16

• x = -16

In the equation x - 3 / 2 = 8, what is the next step after multiplying by 2?

• Multiply by 3

• Subtract 3 from both sides

• Add 3 to both sides

• Divide by 3

What is the final value of x in the equation x - 3 / 2 = 8?

• x = 11

• x = 13

• x = 19

• x = 16