5A/8A/10E STAAR Review

Front

What is the solution to a system of equations when there is no intersection point?

Back

The system has no solution.

Front

How do you factor the quadratic expression 6x² + 5x - 6?

Back

(3x - 2)(2x + 3)

Front

What are the solutions for x in the equation x² + 9x - 36 = 0?

Back

x = -12 and x = 3

Front

What are the solutions to the quadratic equation 2x² + 5x - 12 = 0?

Back

x = -4 and x = 3/2

Front

What is the factored form of the expression x² + 10x + 24?

Back

(x + 4)(x + 6)

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does it mean if the discriminant (b² - 4ac) is negative?

Back

The quadratic equation has no real solutions.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If the coefficient of x² (a) is positive, it opens upwards; if negative, it opens downwards.

Front

What is the process of completing the square?

Back

Rearranging a quadratic equation to form a perfect square trinomial.