Gr 10 Math Ch 2: Solving Linear Equations

Play an AI-generated podcast conversation about this lesson

What is the maximum number of solutions a linear equation can have?

Two

Infinitely many

Zero

One (correct)

Which step involves moving all terms containing the variable to one side of the equation?

Check the Answer

Expand All Brackets

Group Like Terms Together

Rearrange the Terms (correct)

During which step would you consolidate expressions with the same variable?

Factorise if Necessary

Solve for the Variable

Expand All Brackets

Group Like Terms Together (correct)

What is the first action to take when solving a linear equation?

Expand All Brackets Signup and view all the answers

Why is it important to maintain balance in an equation during solving?

To prevent errors in calculation Signup and view all the answers

What must be done after isolating the variable in the equation?

Substitute the solution back to check Signup and view all the answers

What does solving a linear equation primarily involve?

Verifying that both sides of the equation are equal Signup and view all the answers

During the process of solving a linear equation, what is the purpose of expanding all brackets?

To simplify both sides of the equation Signup and view all the answers

Which of the following steps is necessary after moving all variable terms to one side?

Group like terms together Signup and view all the answers

What must be ensured when performing operations on both sides of an equation?

Both sides must remain balanced Signup and view all the answers

What step might be necessary if there are common terms present in an equation after grouping like terms?

Factorising the equation Signup and view all the answers

What action should be taken after determining a potential solution for the variable?

Substitute the solution back into the original equation Signup and view all the answers

What is the main goal of solving a linear equation?

To determine the value of the variable that satisfies the equation Signup and view all the answers

Which step is crucial for simplifying the equation before moving terms around?

Expand all brackets Signup and view all the answers

Why is checking the answer an important final step in solving an equation?

To confirm that the left side equals the right side of the original equation Signup and view all the answers

What must be done to maintain balance in an equation when adding new terms?

Add the same number to both sides of the equation Signup and view all the answers

What does it mean to rearrange the terms in a linear equation?

Organize terms with the variable on one side and constants on the other Signup and view all the answers

If an equation has terms with a common factor, what must be done after grouping like terms?

Factorize the equation if necessary Signup and view all the answers