1. The length of a rectangle is 1 in. more than twice its width. If the perimeter of the rectangle is 26 in., find the width of the rectangle.
A) 4 in. B) 5 in. C) 6 in. D) 3 in.
7. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
A) 17 B) 5 C) 34 D) 7
9. True or False: (–3, –2, 1) is a solution to the equation 3x + y – 3z = –13.
12. True or False: Geometrically, a consistent linear system of three equations in three variables can be seen as three parallel planes.
13. True or False: Geometrically, an inconsistent linear system of three equations in three variables can be seen as three planes intersecting at a point.
20. Graph the solution set of the linear inequality.
24. Carla's Coffee Company mixes two blends of coffee. Blend 1 is made by mixing 4 scoops of Arabica beans and 8 scoops of Brazilian beans. Blend 2 uses 10 scoops of Arabica beans and 6 scoops of Brazilian beans. There are 160 scoops of Arabica beans and 180 scoops of Brazilian beans available for today's mixing. Draw a graph of the feasible region, given these conditions, where x is the amount of Blend 1 mixed and y is the amount of Blend 2 mixed.
25. Miu‘s House Painting offers two levels of basic room painting jobs. The Standard job requires 8 hr of labor and 10 gal of paint per room. The Deluxe job takes 12 hr of labor and 6 gal of paint per room. Miu has a maximum of 960 hr of labor and 600 gal of paint available. Draw a graph of the feasible region, given these conditions, where x is the number of Standard painting jobs and y is the number of Deluxe jobs.