Understanding and Solving Linear Equations

The video tutorial explains how to solve a linear equation by isolating the variable. It discusses the option of eliminating decimals by multiplying each term by a power of 10, transforming the equation into a simpler form. The tutorial then demonstrates solving the equation step-by-step, including subtraction and division, to find the solution. An alternative method using a calculator to handle decimals directly is also shown, emphasizing that both methods yield the same result.

What is the primary goal when solving a linear equation?

• To add more variables

• To convert it into a quadratic equation

• To isolate the variable on one side

• To eliminate all numbers

What is often the first step in solving a multistep linear equation with decimals?

• Add fractions

• Convert to fractions

• Multiply by a power of 10 to clear decimals

• Divide by 10

When multiplying a decimal by 100, how many places do you move the decimal point?

• Three places to the left

• Two places to the right

• Four places to the right

• One place to the left

After clearing decimals, what is the next step to solve the equation?

• Multiply all terms by 10

• Subtract terms to isolate the variable

• Convert to fractions

• Add all terms

What is the rule for adding integers with the same sign?

• Divide their absolute values

• Multiply their absolute values

• Add their absolute values and keep the original sign

• Subtract their absolute values

What operation is performed to isolate the variable after simplifying the equation?

• Division

• Multiplication

• Subtraction

• Addition

What is the solution to the equation after dividing both sides by 24?

• -74.5

• 74.5

• 1788

• -1788

What is the benefit of using a calculator when solving equations with decimals?

• It changes the equation type

• It increases the number of steps

• It eliminates the need to clear decimals

• It makes the process slower

What is the alternative method to solve the equation without clearing decimals?

• Add all terms

• Use a calculator for subtraction and division

• Convert to fractions

• Multiply by 1000

What is the final solution when using the alternative method with a calculator?

• 74.5

• -74.5

• 1788

• -1788