Gr 10 Math Ch 2: Solving Quadratic Equations

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

No solutions

Two solutions (correct)

Three solutions

One solution

Which step is NOT part of solving a quadratic equation?

Check the solution

Factorise the quadratic expression

Divide by common factors

Graph the equation on a coordinate plane (correct)

In the equation $3x^2 + 6x + 3 = 0$, what is the first necessary step to simplify it?

Rewrite in standard form

Divide by a common factor (correct)

Set the equation equal to 1

Factor the equation directly

What does it mean for a quadratic equation to be balanced?

The same operation must be applied to both sides of the equation Signup and view all the answers

What is the correct form a quadratic equation must be in for solving?

$ax^2 + bx + c = 0$ Signup and view all the answers

After factorising the expression $(2x + 3)(x - 1) = 0$, what should you do next?

Set each factor equal to zero Signup and view all the answers

What is the purpose of factorising a quadratic equation?

To find the solutions by setting factors equal to zero Signup and view all the answers

Which of the following statements about quadratic equations is correct?

Quadratic equations can have zero, one, or two solutions. Signup and view all the answers

When given the quadratic equation $x^2 + 4x + 4 = 0$, what will be the first step in solving it?

Factorise it into $(x + 2)(x + 2) = 0$ Signup and view all the answers

How can you verify the solutions obtained from a quadratic equation?

By substituting the solutions back into the original equation Signup and view all the answers

What does it mean for a quadratic equation to be balanced?

Any operation performed on one side must also be performed on the other side Signup and view all the answers

Which of the following is NOT a step in solving a quadratic equation?

Finding common roots with linear equations Signup and view all the answers

What is a characteristic of a quadratic equation compared to a linear equation?

A quadratic equation can have at most two solutions. Signup and view all the answers

Which step in the method of solving quadratic equations involves checking the initial format of the equation?

Rewrite the Equation Signup and view all the answers

What is an essential aspect of maintaining the integrity of a quadratic equation during manipulation?

Perform the same operation on both sides to keep it balanced. Signup and view all the answers

What can occur if factorisation is improperly performed on a quadratic equation?

The values will no longer satisfy the original equation. Signup and view all the answers

Which of the following statements best describes the final step in solving a quadratic equation?

Substitute the obtained values back into the original equation. Signup and view all the answers

When factorising the quadratic expression $3x^2 + 12x + 9 = 0$, which step should precede the factorisation process?

Divide by the common factor of the coefficients. Signup and view all the answers

Gr 10 Math Ch 2: Solving Quadratic Equations

Questions and Answers

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

Which step is NOT part of solving a quadratic equation?

In the equation $3x^2 + 6x + 3 = 0$, what is the first necessary step to simplify it?

What does it mean for a quadratic equation to be balanced?

What is the correct form a quadratic equation must be in for solving?

After factorising the expression $(2x + 3)(x - 1) = 0$, what should you do next?

What is the purpose of factorising a quadratic equation?

Which of the following statements about quadratic equations is correct?

When given the quadratic equation $x^2 + 4x + 4 = 0$, what will be the first step in solving it?

How can you verify the solutions obtained from a quadratic equation?

What does it mean for a quadratic equation to be balanced?

Which of the following is NOT a step in solving a quadratic equation?

What is a characteristic of a quadratic equation compared to a linear equation?

Which step in the method of solving quadratic equations involves checking the initial format of the equation?

What is an essential aspect of maintaining the integrity of a quadratic equation during manipulation?

What can occur if factorisation is improperly performed on a quadratic equation?

Which of the following statements best describes the final step in solving a quadratic equation?

When factorising the quadratic expression $3x^2 + 12x + 9 = 0$, which step should precede the factorisation process?

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