Understanding Quadratic Equations

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

Identify the quadratic term in the equation 4x² + 8x - 3 = 0.

Back

The quadratic term is 4x².

Front

Identify the linear term in the equation 4x² + 8x - 3 = 0.

Back

The linear term is 8x.

Front

Identify the constant term in the equation 4x² + 8x - 3 = 0.

Back

The constant term is -3.

Front

What is the process to convert x(x - 2) = 5 into standard form?

Back

Expand the equation and rearrange it to the form ax² + bx + c = 0.

Front

What is the first step to convert (s+3)² + 4 = 4s + 3 into standard form?

Back

Perform the perfect square trinomial on the left side and set the right side to zero.

Front

What method is used to expand (a + 1)(a + 2) = 3?

Back

Use the first-outer-inner-last (FOIL) method.

Front

What is the first step to convert (3x + 4)(4x - 5) = 4x + 3 into standard form?

Back

Expand the left side using the FOIL method and set the right side to zero.

Front

What are the values of a, b, and c in the quadratic equation 4x² + 8x - 3 = 0?

Back

a = 4, b = 8, c = -3.

Front

What is the importance of writing a quadratic equation in standard form?

Back

It allows for easier identification of the coefficients and facilitates solving the equation.