Algebra Skills Review for Geometry

Front

Identify the values of a, b, and c in the quadratic equation: 3x² - 8x + 15 = 0

Back

a=3, b=-8, c=15

Front

Solve the system of equations by elimination: 5x + 6y = -10 and 3x - 2y = -6

Back

(-2, 0)

Front

Convert the quadratic equation x² - 9x + 20 = 0 to factored form and solve.

Back

(x-4)(x-5); x=4, 5

Front

Solve the system of equations by elimination: -x + y = -13 and -8x - 4y = -8

Back

(5, -8)

Front

Convert the quadratic equation x² - 6x + 9 = 0 to factored form and identify the solution.

Back

(x-3)(x-3); x=3

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

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

Back

A quadratic equation is factorable if it can be expressed as a product of two binomials.

Front

What is the quadratic formula used for?

Back

The quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), is used to find the roots of a quadratic equation.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots.

Front

How do you determine if a quadratic equation has real roots?

Back

If the discriminant (b² - 4ac) is greater than or equal to zero, the equation has real roots.