Solving Linear Equations and Inequalities

This video tutorial covers strategic solving techniques for eighth-grade mathematics, focusing on solving equations by collecting like terms and balancing both sides. It includes examples of solving equations, checking solutions, and analyzing proportional relationships between variables. The lesson also addresses a student's reasoning about an equation and concludes with resources for further learning.

What is the value of b in the equation 29 = 11b?

• b = 29/11

• b = 0

• b = 11

• b = 2.9

In the equation 3x - 15 = 0, what is the value of x?

• x = 15

• x = -5

• x = 0

• x = 5

What is the solution for c in the equation 12 - 2c = -15?

• c = -3

• c = 5

• c = 3

• c = -5

What is the value of w in the equation -3w - 4 = w + 3?

• w = -1

• w = 7/4

• w = 1

• w = -7/4

In the equation 9 - 9x = 2x + 6, what is the value of x?

• x = 3

• x = 1

• x = -3

• x = 0

What is the value of z in the equation 1/3z + 4/3 = 10/3?

• z = 4

• z = 8

• z = 6

• z = 2

Does the equation 9x + 15 = 3x + 15 have a solution?

• Yes, when x = 0

• No, because 9x is always greater than 3x

• Yes, for any x

• No, because 15 is not equal to 15

What is the value of y when x = 64 in the proportional relationship y = 3/2x?

• y = 48

• y = 96

• y = 64

• y = 32

If y = 39 in the equation y = 3/2x, what is the value of x?

• x = 39

• x = 13

• x = 26

• x = 52

What equation represents the proportional relationship between x and y?

• y = 3x

• y = x + 3/2

• y = 2/3x

• y = 3/2x