Solving Linear Equations and Inequalities

The video tutorial covers solving linear equations by canceling variables and simplifying expressions. It demonstrates solving for x and y in a system of equations, emphasizing the importance of performing operations on both sides of the equation. The tutorial also addresses handling fractions and ensuring solutions match textbook formats.

What is the result when you cancel out the terms 2y and -2y in an equation?

• 0y

• 4y

• 2y

• -2y

After simplifying the equation to 5x = 10, what is the next step to find the value of x?

• Add 5

• Divide by 5

• Multiply by 5

• Subtract 5

If x equals 2, what is the first step to solve for y in the equation 2x + 2y = -2?

• Divide by 2

• Multiply by 2

• Subtract 4 from both sides

• Add 2 to both sides

What is the final value of y when you solve 2y = -6?

• 3

• -6

• -3

• 6

In the new set of equations, what is the result of adding 1x and 1x?

• 3x

• 2x

• 1x

• 0x

What is the value of x when 2x equals -1?

• -1

• 1

• 0.5

• -0.5

When substituting x = -1/2 into the equation, what is the first step to solve for y?

• Subtract 1/2 from both sides

• Divide by 2

• Add 1/2 to both sides

• Multiply by 2

What is the result of adding -3 and 1/2?

• -3.5

• -3

• -2.5

• -2

What is the equivalent fraction of -2.5?

• -4/2

• -3/2

• -5/2

• -6/2

What is the final value of y in the equation y = -5/2?

• 5

• -5

• 2.5

• -2.5