Solving Linear Equations Concepts

This video tutorial for grade 8 math focuses on writing situations from equations with variables on both sides. It explains the use of inverse operations to solve these equations and highlights the roles of coefficients and constants. The tutorial provides examples of real-life situations that can be represented by equations, such as comparing costs. It also offers guidance on solving equations by isolating variables and suggests additional resources for students needing further clarification.

What is the main focus of this video tutorial?

• Graphing linear equations

• Understanding geometric shapes

• Solving quadratic equations

• Writing situations from equations with variables on both sides

What is a variable term in an equation?

• A number that divides a variable

• A number that multiplies a variable

• A number that is added or subtracted

• A standalone number

What is a coefficient in an equation?

• A number that is added to a variable

• A number that subtracts from a variable

• A number that multiplies a variable

• A number that divides a variable

What is a constant term in an equation?

• A fixed number added or subtracted

• A number that changes with the variable

• A number that multiplies the variable

• A number that divides the variable

In the equation 150 + 25x = 55x, what does 150 represent?

• A coefficient

• A variable term

• A constant term

• A divisor

What could the equation 150 + 25x = 55x represent in real life?

• The comparison of two different pricing models

• The cost of a single item

• The measurement of a distance

• The calculation of a discount

What does the equation 150 + 25x = 55x help to compare?

• Two different distances

• Two different costs or prices

• Two different speeds

• Two different times

How do you solve the equation 150 + 25x = 55x?

• Add 25x to both sides

• Subtract 25x from both sides

• Multiply both sides by 25

• Divide both sides by 25

What is the result of subtracting 25x from 55x?

• 30x

• 80x

• 25x

• 0x

After simplifying the equation to 150 = 30x, what is the next step?

• Add 30 to both sides

• Subtract 30 from both sides

• Divide both sides by 30

• Multiply both sides by 30