Chapter 2 Test

Front

What is the result of combining \( (2i-4)(2i+4) \)?

Back

The result is -20.

Front

What is the slope-intercept form of a line with slope 5 that passes through the point (-2,7)?

Back

The slope-intercept form is \( y = 5x + 17 \).

Front

Solve the inequality \( 2x + 4 < 5x - 11 \).

Back

The solution is \( x > 5 \).

Front

Solve the equation \( 5(x+3) - 7 = 5 - x \).

Back

The solution is \( x = -0.5 \).

Front

Identify the coefficients in the quadratic equation \( x^2 - 4x + 4 = 0 \).

Back

The coefficients are \( a = 1, b = -4, c = 4 \).

Front

What is the quadratic formula used to solve equations of the form \( ax^2 + bx + c = 0 \)?

Back

The quadratic formula is \( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \).

Front

What is the definition of a slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does it mean for a quadratic equation to have imaginary solutions?

Back

Imaginary solutions occur when the discriminant \( b^2 - 4ac < 0 \).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope is calculated as \( m = \frac{{y2 - y1}}{{x2 - x1}} \).

Front

What is the standard form of a linear equation?

Back

The standard form is \( Ax + By = C \), where A, B, and C are integers.