Chapter 9 Review 2: Solving Equations & Discriminants

Front

What is the first step in solving the equation x² + 6x - 13 = 3 using the FACTORING method?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What does a discriminant of 0 indicate about the number of x-intercepts of a function?

Back

It has 1 x-intercept.

Front

Solve by factoring: x² = 7x + 18. What are the factors?

Back

9 and -2.

Front

What are the green dots on a graph of a quadratic function called?

Back

Roots or x-intercepts.

Front

Which method can be used to solve the equation 2x² - 7x + 2 = 0?

Back

Quadratic Formula.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0.

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

It determines the number of real solutions.

Front

If the discriminant is positive, how many real solutions does the quadratic equation have?

Back

2 real solutions.

Front

If the discriminant is negative, how many real solutions does the quadratic equation have?

Back

0 real solutions.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the graph.