Exam 1: Preliminaries

Determine whether , , and lie on a straight line. Answer yes or no.

Given that the point lies on the line , find k. __________

If the line passing through the points and is parallel to the line passing through the points and , what is the value of a? __________

Evaluate the expression.

Find the slope of the line shown in the figure.

Simplify the expression.

Find an equation of the circle that satisfies the conditions. Center and passes through .

Rationalize the numerator of the expression.

Show the interval [6, 8) on a number line.

Evaluate the expression.

Perform the indicated operations and simplify the expression.

Refer to the following figure. Which point has an x-coordinate that is equal to zero?

Factor out the greatest common factor from the expression.

Use the intercept form of an equation of a line to find an equation of a line with the -intercept and the -intercept .

Writing the equation in the slope intercept form, find the slope of the line.

Find an equation of the horizontal line that passes through (-6, -7).

A furniture store offers free setup and delivery services to all points within a 23-mi radius of its warehouse distribution center. If you live 19 mi east and 14 mi south of the warehouse, will you incur a delivery charge?

Find the real roots of the equation by factoring.

Use the intercept form of an equation of a line to find an equation of a line with the -intercept 9 and the -intercept 4.

Evaluate the expression.