Solving Linear Equations and Functions

This video tutorial covers strategic solving techniques for eighth-grade mathematics. It includes solving equations by collecting like terms, balancing equations, and working with fractions and decimals. The tutorial also analyzes a specific equation proposed by a student named Elena and discusses proportional relationships between variables. The lesson concludes with additional resources for further learning.

What is the first step in solving an equation by collecting like terms?

• Collect like terms

• Add a constant to both sides

• Multiply both sides by a variable

• Divide both sides by a number

If 29 equals 11b, what is the value of b?

• b = 11

• b = 29/11

• b = 11/29

• b = 29

What operation should be performed after collecting like terms in the equation 3x + 6x = 9?

• Add 3x to both sides

• Subtract 9 from both sides

• Multiply both sides by 3

• Divide both sides by 9

In the equation 12 - 2c = -15, what is the next step after taking away 12 from both sides?

• Divide both sides by 3

• Add 2c to both sides

• Subtract 2c from both sides

• Multiply both sides by 2

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

• c = 5

• c = -5

• c = 15

• c = 0

What is the first step in solving the equation -3w - 4 = w + 3?

• Add 3 to both sides

• Divide both sides by 4

• Subtract w from both sides

• Add 3w to both sides

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

• w = -4/7

• w = 4/7

• w = 7/4

• w = -7/4

In the equation 9 - 9x = 2x + 6, what should be done after subtracting 2x from both sides?

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply both sides by 2

• Divide both sides by 11

What is the solution for x in the equation 9 - 9x = 2x + 6?

• x = 3

• x = 1

• x = 0

• x = -3

What is the first step in solving the equation 1/3z + 4/3 = 10/3 - 2/3z?

• Add 2/3z to both sides

• Subtract 4/3 from both sides

• Multiply both sides by 3

• Divide both sides by 2