Chapter 3 Test

Front

What type of dot is used for the inequality \( \le \) or \( \ge \)?

Back

Closed dot.

Front

Evaluate the expression \( (2 - 5i)(-1 + 3i) \) and write your answer in standard form \( a + bi \).

Back

\( 13 + 11i \)

Front

What type of line would you draw for the inequality \( y \ge x^2 + 5x - 2 \)?

Back

Solid line.

Front

Solve the equation \( x^2 + 6x = -10 \) (Hint: set to zero).

Back

\( -3 \pm i \)

Front

Solve the equation \( w^2 + 7w + 49 = 81 \).

Back

\( w = 2, w = -16 \)

Front

What is the definition of a closed dot in graphing inequalities?

Back

A closed dot indicates that the number is included in the solution set.

Front

What is the standard form of a complex number?

Back

The standard form is \( a + bi \), where \( a \) is the real part and \( b \) is the imaginary part.

Front

What does it mean to set an equation to zero?

Back

It means to rearrange the equation so that one side equals zero, which is often necessary for solving polynomial equations.

Front

What is the significance of a solid line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form \( ax^2 + bx + c = 0 \).