Solving Systems of Linear Inequalities — Unit test Answers

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?

Which classification describes the following system of equations?

Which point is in the solution set of the given system of inequalities?

Which answer describes the graph of the system of equations?

Which system of inequalities has a solution set that is a line?

Which system is equivalent to ?

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l. w ≥ 0.5l2l + 2w ≤ 180

A system of inequalities, where x is the rate of a spaceship in a video game and y is where the ship travels on the screen in 3.5 seconds, is represented by the graph.

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?

What is one of the solutions to the following system?

The graph of a system of inequalities is shown.

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?