Exam 1: Equations, Inequalities, and Modeling

Solve the problem using your calculator. -Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Use linear regression to find a linear function that Predicts a student's score on Test B as a function of his or her score on Test A.

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

Write an inequality of the form k or of the form k so that the inequality has the given solution set. -

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

Write an equation in slope-intercept form for the line shown. -

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

Solve the problem. -Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 19 pounds of feed worth $0.27 per pound by mixing one kind worth $0.22 per pound with another worth $0.41 per pound. How many pounds of The cheaper kind should they use in the mix? (Round to the nearest pound.)

Write the standard equation for the circle. -Center at radius

Solve the problem. -Decide whether or not the points are the vertices of a square. (-10, -6), (-8, 4), (7, 9), (4, 1)

For the equation in the form + bx + c = 0, determine the number of real solutions by examining the graph of y = + bx + c. - + 3x + 18 = 0

Solve the problem. -When going more than 38 miles per hour, the gas mileage of a certain car fits the model y = 43.81 - 0.395x where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what Speed will the car average 15 miles per gallon? (Round to nearest whole number.)

Solve the problem. -Yearly sales at a certain department store follow the model y = 85 - 13.254x where y is the total sales in thousands of dollars and x is the number of years after 1992. In what year will the sales first be less than $35,000?

Write an inequality of the form k or of the form k so that the inequality has the given solution set. -(-5, 5)

Write the quotient in the form a + bi. -

Find the distance between the points, and find the midpoint of the line segment joining them. -(7, -2) and (-3, 2)

Find the solutions to the equation by reading the graph. -

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

Solve for the indicated variable. -Solve for x.

Use the method of your choice to find all real solutions of the equation. -

Write an equation in slope-intercept form for the line shown. -