MAT-121: COLLEGE ALGEBRA
Written Assignment 2
2.5 points each
For the following exercise, solve the equation for y in terms of x.
For the following exercise, find the distance between the two points. Simplify your answer, and write the exact answer in simplest radical form for an irrational answer.
For exercises 3 and 4, plot the three points on the given coordinate plane. State whether the three points you plotted appear to be collinear (on the same line).
(Use a scale of 2 for each axis.)
For the following exercise, find and plot the x– and y-intercepts, and graph the straight line based on those two points.
For the following exercise, use the graph to the right.
(Use a scale of 1 for each axis.)
For the following exercise, solve the equation for x.
For the following exercise, solve each rational equation for x. State all x-values that are excluded from the solution set.
For exercises 10 and 11, find the equation of the line using the point-slope formula. Write all the final equations using the slope-intercept form.
For the following exercise, graph the pair of equations on the same axes, and state whether they are parallel, perpendicular, or neither.
For the following exercise, find the slope of the line that passes through the given points.
For the following exercise, use the information to find a linear algebraic equation that models the given information.
For the following exercise, use this scenario:
For the following exercise, evaluate the algebraic expressions.
For the following exercise, plot the complex numbers on a single complex plane.
For exercises 20 and 21, perform the indicated operation and express the result as a simplified complex number.
For the following exercise, solve the quadratic equation by factoring.
For the following exercise, solve the quadratic equation by using the square root property. Simplify any radical solution to lowest terms.
For the following exercise, solve the quadratic equation by completing the square. Show each step.
For the following exercise, determine the discriminant, and then state how many solutions there are and the nature of the solutions. Do not solve.
For the following exercise, solve the quadratic equation by using the quadratic formula. If the solutions are not real, state No Real Solution. Simplify radicals to lowest terms.
For the following exercise, solve the rational exponent equation. Use factoring where necessary.
For the following exercise, solve the following polynomial equation by grouping and factoring. Make sure to find any complex solutions.
For the following exercise, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
For the following exercise, solve the equation involving absolute value.
For the following exercise, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. Find all real and complex solutions. Show all work.
For the following exercise, the slant height of a right circular cone is given by the formula , where r is the radius of the base of the cone and h is the height of the cone.
For the following exercise, solve the inequality. Write your final answer in interval notation.
For the following exercise, solve the inequality involving absolute value. Write your final answer in interval notation.
For the following exercise, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation.
For the following exercise, write the set in interval notation.
For the following exercise, write the interval in set-builder notation.
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