Exam 1: Equations, Inequalities, and Modeling

Solve the problem. -Bill needs an average of 75 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 61, 82, and 60?

Solve the problem. -Alison sets aside $40 each month to spend on books and CDs. If she spends c dollars on CDs in a given month, she may spend b dollars on books, where c + b = 40. Estimate the amount Alison may spend on books in March If she spends $34 on CDs.

Find the product of the complex number and its conjugate. --

Use a calculator to help solve the equation. Round approximate answers to three places. -

Solve the problem. -Find the value of k so that the graph of 17y - kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

Find the center and radius of the circle. -

Write the standard equation for the circle. -Center at (7, -1), radius 3

Solve the problem. -An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular Piece of tin.

Solve the problem. -The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret The inequality.

Solve the inequality. Write the solution set using interval notation and graph it. -a - 5 < -7

Solve the absolute value inequality. Write the solution set using interval notation. -

Determine whether there is a linear relationship between the variables in the table. -

Name the quadrant in which the point is located, or the axis on which it lies . -(6, -14)

Solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 6 miles per hour. In how many hours will they be 48 miles apart?

Use the method of your choice to find all real solutions of the equation. - + 10x = - 1

Decide whether the given number is a solution to the equation preceding it. -p - 3 = 4; 7

Find the distance between the points, and find the midpoint of the line segment joining them. -

Solve the equation by factoring. - - x = 20

Find the perfect square trinomial whose first two terms are given. -

Find the real or imaginary solutions by completing the square. - + 12m = 0