Exam 8: Systems of Equations and Inequalities

Find the unknowns on the right side of the partial fraction decomposition. -

Determine whether the given point is in the solution set to the given system. -(-4, 6) x + y = 10 X - y = -2

Find A, B, and C for the partial fraction decomposition. -

Graph the inequality. -

Write the system of inequalities that describes the possible solutions to the problem. -The Pen-Ink Company manufactures two ballpoint pens: silver and gold. The silver requires 6 minutes in a grinder and 5 minutes in a bonder. The gold requires 6 minutes in a grinder and 11 minutes in a bonder. The Grinder can be run no more than 630 minutes per day and the bonder no more than 340 minutes per day. Let x Represent the number of silver pens, and let y represent the number of gold pens. Including the system Inequalities and find the remaining inequalities that best represent this company's daily production Of silver and gold pens.

Solve the system of equations. -x + 3y + 5z = 11 5y + 5z = 20 Z = 1

Graph the solution set of the system. -

Solve the problem. -The perimeter of a rectangle is 66 m. If the width were doubled and the length were increased by 24 m, the perimeter would be 132 m. What are the length and width of the rectangle?

Find the ordered triple that belongs to the set. -{9y, y, y - 5|y = 1}

Graph the linear inequality. -

Write a linear equation in three variables that is satisfied by the given ordered triples. -(0, 0, 2), (6, 6, 0), (12, 0, 0)

Match the graph to the correct inequality. -

Decompose into partial fractions. -

Solve the system by substitution. - = 4 2y = 21

Solve the problem. -A salesman sold $150 more than the rest of the sales staff. If the sales total for the day was $2300, how much did the rest of the sales staff sell?

Match the graph to the correct inequality. -

Determine whether the given point is in the solution set to the given system. -(4, 3) x + y = 7 X - y = 1

Write a system of inequalities whose solution set is the region shown. -

Determine whether the given point is in the solution set to the given system. -(2, 9, -4) 2x - 5y - 9z = -5 X + y + z = 7 3x - y + 5z = 35

Solve the system. -y = log4(-x) y = log4(x + 8)