Solving for y in Traditional Algebra 1

This video tutorial focuses on the importance of solving for y in algebra, particularly for graphing purposes. It provides step-by-step examples of converting equations into slope-intercept form, emphasizing the need to isolate y. The tutorial includes practice problems and advanced techniques, encouraging students to practice and master the skill.

Why is solving for y considered an important skill in algebra?

• It helps in simplifying equations.

• It is essential for graphing equations.

• It is used in calculus.

• It is only important for solving word problems.

What is the standard form of an equation?

• ax + by = c

• x = my + b

• a + bx = c

• y = mx + b

What is the first step in converting the equation 5y + 40 = 20x to slope-intercept form?

• Add 40 to both sides.

• Subtract 40 from both sides.

• Divide everything by 5.

• Multiply everything by 5.

In the equation 4x - 6y = 12, what should you do first to isolate y?

• Multiply everything by 4.

• Add 4x to both sides.

• Divide everything by 6.

• Subtract 4x from both sides.

After isolating the y term in the equation 4x - 6y = 12, what is the next step?

• Add 6 to both sides.

• Divide each term by -6.

• Multiply each term by 6.

• Subtract 12 from both sides.

What is the slope-intercept form of the equation 5y + 40 = 20x?

• y = 2x + 8

• y = 4x + 8

• y = 4x - 8

• y = 2x - 8

What is the slope-intercept form of the equation 4x - 6y = 12?

• y = -3/2x + 2

• y = 3/2x - 2

• y = -2/3x + 2

• y = 2/3x - 2

What is the result of solving the equation -y = x - 10 for y?

• y = x + 10

• y = -x + 10

• y = x - 10

• y = -x - 10

In the equation 2x - 21 = -3y, what is the quickest method to isolate y?

• Add 3y to both sides.

• Add 21 to both sides.

• Subtract 2x from both sides.

• Divide everything by -3.

What is the slope-intercept form of the equation 6x = 7y?

• y = -6/7x

• y = -7/6x

• y = 6/7x

• y = 7/6x